by mathematics guru er. om prakash yadav …16. pipes and cisterns 124-129 17. speed distance &...

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FOR ALL COMPETITIVE EXAMINATION

By Mathematics GuruEr. Om Prakash Yadav (Prakash Sir)

(Cleared: SSC/SBI/IBPS/RRB/RBI)

Published by

Competition Guru Publication Pvt. Ltd.SCO. 68-69, Sector 8-C, Chandigarh

Mobile: 84276-96612

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CHANDIGARH: 82838-67867 | NAwANsHAHR 84276-96612 | PINjoRe: 99967-84699 | RoPAR: 84276-96606

Math Magic© 2012 BY COMPETITION GURU COACHING CENTERHead OFFICe: 68-69, SeCTOR- 8C, CHaNdIGaRHPh.: 84276-96612, 84276-96606E-mail: [email protected]

All rights reserved. No part of this publication may be reproduced or distributed in any form or by any other means, electronic, mechanical, photocopying, recording or stored in a database or retrieval system without the prior written permission of publishers. Any breach of this will result in legal action and prosecution without further notice.

First Edition – January, 2012Second Edition – August, 2016

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With the evolution of Bank and SSC exams in its online avatar, I felt the need to create a comprehensive and updated books that fulfill the requirement of job aspirants in India.

This book consists of three levels: Level 1, 2 and 3. These levels are divided on the basis of difficulty. I have tried to put all types of questions across various exams since 1999 to till date.

It is hoped that the subject matter of this edition will boost confidence among the candidates and the book will help them like best teacher.

Our students’ constructive feedback and suggestions for the improvement of this book will be highly appreciated.

Last but not the least, there is no shortcut for success. Only hard work and continuous effort and perfect practice will lead to success. So, it is desirable on your part to make the best out of this unique offering before you. Let us remind you that the questions you find in this book will not only help you prepare for the Bank PO/ Management Trainees, Specialist Officers examinations, they will equip you with the much required knowledge and insight in “cracking” other competitive examinations as well.

Er. Om Prakash Yadav(Prakash Sir)August 15, 2016

Preface

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The banking and SSC exams are conducted online and structure is as follows:

BankinG A. Preliminary Examination:

S. No. Subject Ques. Marks Duration1. Reasoning Ability Paper 35 35 01 Hour2. Quantitative Aptitude Paper 35 35 3. English Language Paper 30 30 Total 100 100

B. Mains Examination: S. No. Subject Ques. Marks Duartion1. Reasoning 50 50 40 Mins2. General Awareness Paper 40 40 30 Mins3. Quantitative Aptitude 50 50 40 Mins4. English Language 40 40 20 Mins5. Computer Knowledge 20 20 10 Mins Total 200 200 140 Mins

TIER I

S.No. Mode of Examination Scheme of Examination Ques. Marks TimeI Computer Based A. General Intelligence 25 50 75 B. General Awareness 25 50 Minutes C. Quantitative Aptitude 25 50 D. English Comprehension 25 50 Total 100 200 For VH and candidates suffering from Cerebral Palsy: 100 minutes

Penalty: There will be deduction of 0.50 marks for every wrong answer.

TIER II Exam Part Subject Questions Marks Duration Time Negative MarkingWritten test I Quantitative Ability 100 200 0.50 2 hr II English 200 200 0.25 2 hr

TIER III Mode of Examination Subject Name Marks TimePen & Paper Precise Writing 100 60 Mins

SSc

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content Page no.

Multiplication Tables 7-7Quick Calculation 8-9Squares, Cubes, Square Roots, Cube Roots 10-14digital Root Concept 15-18

1. Simplification 19-23

2. SquareAndCubeRoot 24-25

3. Fraction&DecimalFraction 26-28

4. NumberSystem 29-36

5. HCFAndLCM 37-39

6. Percentage 40-49

7. ProfitAndLoss 50-59

8. Simple Interest 60-67

9. CompoundInterest 68-77

10. average 78-85

11. RatioAndProportion 86-96

12. Partnership 97-104

13. Ages 105-108

14. allegation or Mixture 109-117

15. TimeAndWork 118-123

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16. PipesAndCisterns 124-129

17. SpeedDistance&Time 130-143

18. Trains 144-150

19. Boat&Streams 151-154

20. PermutationAndCombination 155-156

21. Probability 157-158

22. Mensuration 159-165

23. Trigonometry 166-171

24. NumberSeries 172-178

25. UnitaryMethod 179-180

26. QuadrtricEquation 181-185

26. ModelTestPaper1-3 186-193

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Multiplication tablesAgain,thisisyetanothertablethatshalldefinitelyhelpyouinsimplifyingcalculations.Youcansaveprecioustimewhichyou

wouldotherwisewasteinmultiplying,squaringandcubing.Thesetablesarenotverydifficulttolearnifyoulookoutforapatternthatwillaidyouincommittingthesetoyourmemory.

1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 202 4 6 8 10 12 14 16 18 20 22 24 26 28 30 32 34 36 38 403 6 9 12 15 18 21 24 27 30 33 36 39 42 45 48 51 54 57 604 8 12 16 20 24 28 32 36 40 44 48 52 56 60 64 68 72 76 805 10 15 20 25 30 35 40 45 50 55 60 65 70 75 80 85 90 95 1006 12 18 24 30 36 42 48 54 60 66 72 78 84 90 96 102 108 114 1207 14 21 28 35 42 49 56 63 70 77 84 91 98 105 112 119 126 133 1408 16 24 32 40 48 56 64 72 80 88 96 104 112 120 128 136 144 152 1609 18 27 36 45 54 63 72 81 90 99 108 117 126 135 144 153 162 171 18010 20 30 40 50 60 70 80 90 100 110 120 130 140 150 160 170 180 190 20011 22 33 44 55 66 77 88 99 110 121 132 143 154 165 176 187 198 209 22012 24 36 48 60 72 84 96 108 120 132 144 156 168 180 192 204 216 228 24013 26 39 52 65 78 91 104 117 130 143 156 169 182 195 208 221 234 247 26014 28 42 56 70 84 98 112 126 140 154 168 182 196 210 224 238 252 266 28015 30 45 60 75 90 105 120 135 150 165 180 195 210 225 240 255 270 285 30016 32 48 64 80 96 112 128 144 160 176 192 208 224 240 256 272 288 304 32017 34 51 68 85 102 119 136 153 170 187 204 221 238 255 272 289 306 323 34018 36 54 72 90 108 126 144 162 180 198 216 234 252 270 288 306 324 342 36019 38 57 76 95 114 133 152 171 190 209 228 247 266 285 304 323 342 361 38020 40 60 80 100 120 140 160 180 200 220 240 260 280 300 320 340 360 380 40021 42 63 84 105 126 147 168 189 210 231 252 273 294 315 336 357 378 399 42022 44 66 88 110 132 154 176 198 220 242 264 286 308 330 352 374 396 418 44023 46 69 92 115 138 161 184 207 230 253 276 299 322 345 368 391 414 437 46024 48 72 96 120 144 168 192 216 240 264 288 312 336 360 384 408 432 456 48025 50 75 100 125 150 175 200 225 250 275 300 325 350 375 400 425 450 475 50026 52 78 104 130 156 182 208 234 260 286 312 338 364 390 416 442 468 494 52027 54 81 108 135 162 189 216 243 270 297 324 351 378 405 432 459 486 513 54028 56 84 112 140 168 196 224 252 280 308 336 364 392 420 448 476 504 532 56029 58 87 116 145 174 203 232 261 290 319 348 377 406 435 464 493 522 551 58030 60 90 120 150 180 210 240 270 300 330 360 390 420 450 480 510 540 570 600

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Quick calculationInthisbooklet,thevariousformsofdatarepresentationsaregivenwithdetailedexplanationforeachone.Then,theseare

followedbysetsofquestionsdesignedtohelpyougetagoodunderstandingofvarioustypesofDIquestions.BeforeyougetontomasteringDI,itisimperativethatyoulearntomakequickcalculationsandaccurateapproximations.

Inordertohelpyouwithgettingoverthebiggesthurdleviz.tocalculatequicklyandaccurately,youmustcommittoyourmemorycertaintechniquesgivenherethatwillgreatlyreducethetimeinvolvedinthesecalculations.

Givenbelowisatablethatgivesthedecimalrepresentationofcertainfractionsthatyouarelikelytocomeacrossveryoften.Also,youwillbeabletoderivemanyotherfractionsfromthesebasicfractions.

DeciMaL rePreSentation of fractionS

table - 1

1/1=1 1/2=.5 1/3=.333 1/4=.25 1/5=.22/1=2 2/2=1 2/3=.6666 2/4=.5 2/5=.43/1=3 3/2=1.5 3/3=1 3/4=.75 3/5=.64/1=4 4/2=2 4/3=1.333 4/4=1 4/5= .85/1=5 5/2=2.5 5/3=1.6666 5/4=1.25 5/5=16/1=6 6/2=3 6/3=2 6/4=1.5 6/5=1.27/1=7 7/2=3.5 7/3=2.333 7/4=1.75 7/5=1.48/1=8 8/2=4 8/3=2.6666 8/4=2 8/5=1.69/1=9 9/2=4.5 9/3=3 9/4=2.25 9/5=1.810/1=10 10/2=5 10/3=3.333 10/4=2.5 10/5=2

table - 21/6=0.166 1/7=.1428 1/8=0.125 1/9=.1111 1/10=.12/6=0.333 2/7=.2857 2/8=0.25 2/9=.2222 2/10=.23/6=.5 3/7=.4285 3/8=.375 3/9=.3333 3/10=.34/6 = .666 4/7 = .5714 4/8 = .5 4/9 = 4444 4/10 = .45/6=0.833 5/7=.7142 5/8=.625 5/9=.5555 5/10=.56/6 = 1 6/7 = .8571 6/8 = .75 6/9 = .6666 6/10 = .67/6 = 1.1666 7/7 = 1 7/8 = .875 7/9 = .777 7/10 = .78/6=1.333 8/7=1.1428 8/8=1 8/9=.888 8/10=.89/6=1.5 9/7=1.2857 9/8=1.125 9/9=1 9/10=.910/6=1.666 10/7=1.4285 10/8=1.25 10/9=1.1111 10/10=1

Ifyouobservethistablecarefully,youwillobserveadistinctpatternthatwillhelpyoutomemorisethisfairlyquicklyandsimply.Memorisingthesewillhelpyoutomakecalculationsfaster.Also,givenbelowisatableof%equivalentoffractions.

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% eQUiVaLent of fractionS

fraction Percentage fraction Percentage fraction Percentage

1/1 100 1/11 9.09 1/21 4.76

1/2 50 1/12 8.33 1/22 4.55

1/3 33.3 1/13 7.69 1/23 4.35

1/4 25 1/14 7.14 1/24 4.17

1/5 20 1/15 6.67 1/25 4

1/6 16.66 1/16 6.25 1/26 3.85

1/7 14.28 1/17 5.88 1/27 3.70

1/8 12.5 1/18 5.55 1/28 3.57

1/9 11.11 1/19 5.26 1/29 3.45

1/10 10 1/20 5 1/30 3.33

Usingboththesetables,youwillbeabletocalculatequickerthanbefore.

Fromtheabovetable,youcancalculateother%equivalentstoo.

for example, 2/7X100=2X14.28%=28.56% 3/17X100=3X5.88%=17.64% 4/13X100=4X7.69%=30.76% 5/29X100=5X3.45%=17.25%

Hence,knowingthisbasictableonpercentageanddecimalequivalentsoffractions,youwillbeabletomakeeventhetoughercalculationseasier.

Givenbelowisatablethathelpsyoutomemorisealltablesupto35,rightupto35X20.Thistablemustbememorizedatallcostsinordertosaveprecioustimeinthissection.AlsothesewillhelpyouinthesectiononMathematicalabilities.

Wewouldsuggestthatyoutakeasimilarprintoutandpasteitclosetoyourtable,probablyonyourpinupboard.Thismustbeclearlyvisiblesothatyoucanformavisualimageofthiswhichwillhelpyoutolearnthetablesfaster.

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Squares, cubes, Square roots, cube roots

nUMBer SQUare SQUare root cUBe cUBe root

1 1 1 1 1.000

2 4 1.414 8 1.26

3 9 1.732 27 1.442

4 16 2.000 64 1.587

5 25 2.236 125 1.710

6 36 2.449 216 1.817

7 49 2.646 343 1.913

8 64 2.828 512 2.000

9 81 3.00 729 2.080

10 100 3.162 1000 2.154

11 121 3.317 1331 2.224

12 144 3.464 1728 2.289

13 169 3.606 2197 2.351

14 196 3.742 2744 2.410

15 225 3.873 3375 2.466

16 256 4.000 4096 2.520

17 289 4.123 4913 2.571

18 324 4.243 5832 2.621

19 361 4.359 6859 2.668

20 400 4.472 8000 2.714

21 441 4.583 9261 2.759

22 484 4.690 10648 2.802

23 529 4.796 12167 2.844

24 576 4.899 13824 2.884

25 625 5.000 15625 2.924

26 676 5.099 17576 2.962

27 729 5.196 19683 3.000

28 784 5.292 21952 3.037

29 841 5.385 24389 3072

30 900 5.477 27000 3.107

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AbilitysectionaswellastheLogicandReasoningsection.

PoWerS of 2,3,4,5

BaSe ® 2 3 4 5 ¯ PoWer 1 2 3 4 5

2 4 9 16 25

3 8 27 64 125

4 16 81 256 625

5 32 243 1024 3125

6 64 729 4096

7 128 2187 16384

8 256 6561

9 512 19683

10 1024 59049

11 2048

12 4096

13 8192

14 16384

15 32768

Square of last digit 5:1. 35=2. 75=3. 95=4. 175 =5. 195 =6. 5005 =

Squares from 41-50 (15+1)1. 42=2. 46=3. 48=4. 44=5. 47=

Squares from 51-60 (25+1)1. 51=2. 54=3. 56=4. 58=

5. 59=

Squares from 99-901. 96=2. 94=3. 98=4. 99=5. 92=

Squares from 99-901. 89=2. 88=3. 84=4. 82=5. 86=

find square root of following:1. 3364=2. 4356=3. 2916=4. 3249=

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5. 9801=6. 8464=7. 9409=8. 8281=9. 4489=10. 4761=11. 6084=12. 7056=13. 7744=14. 7921=15. 1296=16. 1521=17. 1849=18. 4356=19. 12544=20. 12556=

find the cube root of the following:1. 778688=2. 970299=3. 658503=4. 474552=5. 328509=6. 300763=7. 274625=8. 185193=9. 117649=10. 85184=11. 79597=12. 32768=13. 15625=14. 6859=15. 2744=16. 262144=17. 238328=18. 287496=

eQUation SoLVinG Directions: Inthefollowingquestionstwoequationsaregiven.Youhavetosolveboththeequationsand Give answer(1) if x> y Give answer(2) if x > y Give answer(3) if x< y Give answer(4) if x < y Give answer(5) if x= y

1. X2-x-12=0 Y2+5y+6=02. X2-8x+15=0 Y2-3y+2=0

3. X2-32=112 y- =0

4. X- =0 Y2-121=05. X2-16=0 Y2-9y+20=0

6. - /=0 Y3-63/2=07. 3x-2y=10 5x-6y=68. X2+x-12=0 Y2-5y+6=09. X2+9x+18=0 Y2-13y+40=011. X2-19x+84=0 Y2-25y+156=012. X3-468=1729 Y2-1733+1564=013. 9/+19/= Y5 -(2×14)11/2

16. X2+5x+6=0 Y2+3y+2=017. X2-10x+24=0 Y2-9y+20=018. X2=961 Y=19. X2-72=x Y2=6420. X2-463=321 Y2-421=30821. X2-24x+144=0 Y2-26y+169=022. 2x2+3x-20=0 2y2+19y+44=023. 6x2+77x+121=0 Y2+9y-22=024. X2-6x=7 2y2+13y+15=025. 10x2-7x+1=0 35y2-12y+1=026. 5x2-18x+9=0 20y2-13y+2=027. X3-878=453 Y2-82=39

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caLcULationSconcept of multiplication by 9:

1. 12345.67326×99999.999992. 3467×99993. 873462×9999994. 54363×999995. 2358×99996. 3675×999997. 999999×9999998. 999996/999×999

9. 999×99×9

concept of multiplication by 11:

1. 54×112. 94×113. 34231×114. 573373×115. 1234×1116. 10373×1117. 111111×1111118. 1111×1111

a) 2x+4y=10 3x+2y=11b) 2x+y=5 3x-4y=2c) 8x+3y=30 22x+17y=100d) 5x+4y=3 2x-3y+8=0e) 67x+302y=1510 466x+906y=4530f) 40x+20y=400 80x+10y=800g) 39x+64y=128 63x+128y=256h) 507x+922y=1000 2028x+1634y=4000

Multiplication of 2×21. 34×16

2. 87 243. 46×384. 49×985. 56×63

Multiplication of 3×31. 212×3132. 714×2183. 318×413

4. 387×6365. 524×239Multiplication by 5, 15, 25, 50, 75,125,6251. 2428×5 2. 3684×5 3. 107×5 4. 2227×5

1. 18×15 2. 62×15 3. 212×154. 426×15

1. 236×25 2. 1921×25 3. 1644×25 4. 3643×25

1. 2436×502. 2827×50 3. 3644×50

1. 640×75 2. 192×75 3. 136544×75

1. 163264×1252. 163764×1253. 3272×125

concept of continuous no. multiplication:1. 15×16 2. 25×26 3. 14×15 4. 112×113 5. 88×89

When middle no. is missing:1. 15×17 2. 19×21 3. 111×113 4. 87×89 5. 46×48two times multiplication:1. 11×22 2. 12×24 3. 19×38 4. 112×224 5. 48×96

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Multiply with 100 base:1. 107×1032. 112×1083. 102×1244. 113×1075. 113×1186. 99×967. 93×868. 96×879. 107×9810. 112×9711. 121×92

Multiply with base 10001. 1007×10022. 1017×10123. 1013×10084. 998×9925. 996×9896. 992×9867. 1005×9988. 1012×9969. 1008×9310. 99999×9999911. 9989×999512. 9750×9998

Multiplication with different base:1. 104×2092. 106×2113. 302×3074. 297×2945. 305×296

first digit same and sum of last digits is 10:1. 22×282. 73×773. 124×1264. 328×322

first digit same and last digit sum is 5:1. 22×232. 41×443. 51×54

1. Findthevalueof643×112. Whatis245×25?3. Whatisthevalueof100,000/62.5?4. Whatisthevalueof8888×9?5. Whatissquarerootof204?6. Whatis66%of999?7. Whatisthesquarerootof75?8. Howmanysecondsarethereinaday?9. Multiply:6/8×12/5×15/2410. Performthedivision:(3/5)/(9/30).11. Whichisthelarger:103×97or107×93?12. Evaluate2.4/0.000613. Express3/75asadecimal.14. Evaluate-6/14×35/-4×8/15.15. express 1/9 as a percentage.16. express 6/70 as a percentage.17. Compute2-1/3+1/5-1/6.18. Divide4/7by12/35.19. Express0.275asafractioninthelowestterms.20. Whichisgreater:16/66or25.5%?21. Write24/42inthelowestterms.22. Compute:7+1.216-3.007+5.1162-4.1.23. Express1/5×2/7×15/8×14/6×4/5asadecimal.24. Multiply5.02×0.04.25. Compute the average of six stocks valued at

2,62,120,8,40,52.26. 10-(6-5)-(3+3)-3=27. 6÷2×25÷5=

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1. Square of No. containing only 3’s, 6’s, 9’s, (a) 999 x 999 = ……………… (b) 666 x 666 = …………….. (c) 333 x 333 = …………….. (d) 666666 x 666666 = …………….. (e) 333333333 x 333333333 = ……………..

2. 1305 x 3268 x 1926 x 52486 find last digit. (1) 0 (2) 1 (3) 2 (4) 3 (5) None of these

3. 125 125 last 2 digit?

(a) 75 (b) 25 (c) 45 (d) 35

4. Find the digital sum of ? (a) 12345 =……………….. (b) 5384 = ………………… (c) 134 = ………………… (d) 135 = …………………

5. (88)2 (a) 7544 (b) 7644 (c) 7744 (d) 7844

6. Is 1234574 is a perfect square? (a) Yes (b) No

7. Is 34519 is a perfect Square? (a) Yes (b) No

8. (73)2

(a) 5129 (b) 5229 (c) 5329 (d) 5239

9. (24)3 (a) 13524 (b) 13624 (c) 13724 (d) 13824

10. 96x97 = ……..? (a) 9112 (b) 9212 (c) 9312 (d) 9412

11. 156 12 =…..? (a) 11 (b)12 (c)13 (d)14

12. 1.1 x 1.2? (a) 1.22 (b)1.32 (c)1.42 (d)1.52

13. 25% of 480? (a) 120 (b) 130 (c) 140 (d) 150

14. 27 % of 37 (a) 9.69 (b) 9.79 (c) 9.89 (d) 9.99

15. P= 5000, R= 18% T = 2year Amount = ? (a) 6762 (b) 6862 (c) 6962 (d) 7062

16. D = 500, R=10%, T=2 Year A= ? (a) 505 (b) 605 (c) 615 (d) 625

17. (a) 441 (b) 451 (c) 461 (d) 471

DIGITAL ROOT CONCEPT

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1. 52%of16002. 48%of24003. 23%of12004. 27%of32005. 76%of28006. 11%of14007. 12%of16008. 21%of18009. 19%of190010. 15%of220011. 98%of240012. 102%of260013. 105%of280014. 111%of320015. 97%of120016. 103%of130017. 105%of140018. 125%of160019. 150%of240020. 200%of2800

21. 225%of270022. 225%of160023. 28%of160024. 23%of120025. 77%of240026. 52%of180027. 47%of140028. 11%of130029. 21%of120030. 105%of140031. 111%of150032. 150%of170033. 125%of180034. 225%of200035. 2.5%of180036. 3.25%of240037. 2.10%of170038. 4.5%of120039. 3.5%of140040. 5.5%of180041. 2.25%of1600

PercentaGe caLcULation

42. 4.25%of240043. 3.25%of280044. 1.75%of320045. 1.10%of360046. 3.2%of220047. 12.5%of240048. 36%of110049. 44%of1100050. 32%of1011051. 16%of990052. 14%Of111053. 18%of1050054. 28%of1500055. 36%of10056. 36%of100057. 36%of110058. 13%of110059. 14%of120060. 15%of1100061. 16%of11100

62. 17%of990063. 185of1010064. 22%of1500065. 24%of210066. 18%of35067. 165of22568. 155of31069. 13%of42070. 24%of21071. 18%of32072. 155of43073. 165of85074. 18%of62575. 12%of71076. 7%of34077. 16%of45078. 12%of56079. 13%of64080. 14%1250

82. CalculateC/I:I×0.72×10=C×4.883. E/F=60.Whatid0.646×E/0.903×F84. Whichisthelowest? i) 6/22 ii)12/9 iii)9/10

iv)65/49

85. 86. (6+12)×30/(22+9)×12

87. express as a percentage 88. How many values are less than 5% 3374?

55,666,2006,115,301,140,91

81.

S. no 12½% 37½% 62½% 87½% 6¼% 33 % 66 % 16 %1440 1920 2640

89. Whatistheaverageof190×18%and200×1490. Whicharethetwobiggest a) 874-832 b)970-884 c)1058-1004

d)932-919 e)900-88291. Which%increaseisthehighest?a) 333979×3%to32154×2%b) 33979×19%to32154×23%c) 33979×15%to32154×18%92. Whichisthehighestpercentage? a)350to490 b)490to670 c)650to950 d)950to1250

17


Data caLcULation PercentaGe

DirectionS:CalculatePercentageChangeifDataXbecomesDataY.Q. no. Data X Data Y choice1 choice 2 choice3 choice 4 choice 51. 231 331 40.10 43.29 45.60. 48.00 50.012. 560 1,125 100.09 100.89 103.47 95.37 90.803. 999 499 -49.05 -50.05 50.05 49.05 54.014. 43 1,120 250.465 2504.65 2608.89 26.0889 2500.085. 891 900 1.00 1.01 2.01 3.01 0.506. 325 525 60.00 61.53 65.08 70.88 75.877. 413 13 -90.85 -96.85 -85.85 -99.95 -92.858. 139 1807 1200.00 1300.00 1400.00 1100.00 1250.009. 561 881 57.04 60.01 51.07 53.08 65.0810. 889 901 1.35 0.10 0.22 0.18 1001.0011. 179 279 50.86 49.86 60.86 67.86 55.8612. 187 888 400.89 325.86 374.86 401.25 35.8613. 213 845 296.71 396.71 288.89 400.01 279.0114. 179 888 90.13 396.09 413.87 444.89 89.9915. 375 701 -90.19 70.77 86.93 75.93 55.8616. 288 374 29.86 35.86 43.86 32.86 -70.1917. 887 87 -90.19 -101.10 -110.89 -85.19 -101.9418. 973 273 31.37 -71.94 -81.94 -91.94 20.3719. 814 988 35.59 35.37 21.37 25.37 20.5920. 765 999 90.93 30.59 40.59 25.59 26.5821. 689 817 18.58 22.58 14.58 25.58 70.9322. 513 1,000 32,26 94.93 100.93 80.93 47.2623. 574 874 40.19 92.26 52.26 55.26 27.2324. 819 999 21.98 24.00 18.07 25.18 55.1925. 534 786 13.04 47.19 51.19 53.19 45.4426. 638 896 40.44 -53.19 55.44 52.44 25.0427. 845 989 12.14 17.04 28.04 22.04 -73.1828. 549 187 -65.94 -70.94 -60.94 -56.94 -50.0829. 423 245 -42.08 -48.89 -47.08 -48.17 10.1430. 823 890 -90.19 8.14 13.19 14.14 90.1931. 414 24 988.53 -84.20 -94.20 -84.20 165.7432. 313 813 159.74 169.89 150.74 170.74 980.5333. 87 907 130.58 942.53 1001.23 960.53 69.5934. 193 308 59.59 50.89 68.59 46.59 99.5835. 189 415 15.72 119.58 110.58 101.56 99.5836. 288 316 75.30 16.72 9.72 13.72 507237. 318 910 186.16 175.16 170.16 165.16 169.638. 343 615 98.40 79.30 74.30 70.30 85.3039. 434 818 13.67 88.48 95.48 78.48 80.5340. 548 601 19.76 9.67 14.60 15.67 18.6741. 658 788 19.76 24.76 28.76 23.76 20.9942. 763 963 26.21 29.21 20.21 18.21 16.2143. 871 1000 0.83 11.81 14.81 18.81 19.8944. 982 1,000 98.80 1.2 1.83 2.83 3.1445. 193 403 422.70 108.80 95.80 91.30 98.93

18


DirectionS:CalculatePercentageChangeifDataXbecomesDataY.

Q. no. Data X Data Y choice1 choice 2 choice3 choice 4 choice 51. 451 538 -2.88% 30.38% 16.17% 19.29% 41.46%2. 319 261 -22.22% -2.51% -18.18% -49.53% 13.17%3. 439 639 68.34% 56.95% 31.30% 22.78% 45.56%4. 709 43 -1548.8%4 -86.88% -93.94% -108.04% -79.83%5. 410 604 47.32% 59.95% 32.12% 22.93% 71.71%6. 653 936 30.24% 51.00% 43.34% 28.02% 58.65%7. 906 950 -6.18% 10.38% 4.63% 4.86% 15.89%8. 740 810 22.97% 16.22% 8.63% -4.05% 9.46%9. 572 789 37.93% 48.25% 28.32% 22.03% 56.99%10. 894 106 -88.14% -82.55% -743.40% -99.33% -76.96%11. 296 914 208.78% 225.68% 67.61% 175.00% 242.57%12. 898 638 -40.09% -23.39% -40.75% -28.95% -17.82%13. 577 547 -22.53% 3.47% -5.48% -5.20% 12.13%14. 741 130 -95.95% -75.71% -470.00% -82.46% -68.96%15. 123 913 86.53% 682.93% 642.28% 560.98% 723.58%16. 367 854 105.45% 146.32% 57.03% 132.70% 159.95%17. 129 427 153.49% 231.00% 69.79% 321.01% 308.53%18. 962 268 -82.54% -66.94% -258.96% -72.14% -61.75%19. 864 2 -99.77% -93.98% -43100.00% -111.34% -88.19%20. 116 221 4.31% 133.62% 47.51% 90.52% 176.72%21. 873 252 -246.43% -65.41% -71.13% -82.59% -59.68%22. 65 816 1155.38% 155.38% 92.03% 1001.54% 1309.23%23. 548 91 -74.27% -83.39% -502.20% -101.64% -65.15%24. 421 309 -11.40% -26.6% -30.34% -47.03% 0.48%25. 906 323 -193.20% -60.38% -64.35% -76.93% -54.86%26. 296 260 -13.85% 4.73% -12.16% 55.72% 21.62%27. 437 987 102.97% 137.30% 125.86% 111.30% 148.74%28. 114 937 87.83% 765.79% 721.93% 634.21% 809.65%29. 624 522 -16.35% -8.33% -19.54% -32.37% -0.32%30. 918 965 5.12% 23.93% 15.13% 17.83% 30.04%31. 656 235 -72.92% -46.37% -123.32% -55.22% -64.17%32. 26 520 95.00% 2092.31% 1900.00% 1515.38% 2284.62%33. 788 599 -36.68% -17.64% -31.55% -23.98% -11.29%34. 178 99 -79.80% -16.29% -44.38% -100.56% 11.80%35. 204 35 -58.33% -82.84% -482.86% -131.86% -33.82%36. 380 140 -50.00% -63.16% 171.43% -89.47% -36.84%37. 18 455 1872.22% 27.5.56% 96.43% 2427.78% 2983.33%38. 420 804 47.76% 103.33% 91.43% 67.62% 115.24%39. 538 280 -29.37% -38.66% -92.14% -66.54% -47.96%40. 102 496 484.31% 435.29% 79.44% 288.24% 386.27%41. 109 465 418.35% 372.48% 76.56% 234.86% 326.61%42. 463 826 43.95% 89.20% -78.40% 56.80% 100.00%43. 110 30 -27.27% -72.73% -266.67% -163.64% 18.18%44. 282 856 239.01% 221.28% 67.06% 168.09% 203.55%45. 860 334 49.53% -55.35% -157.49% -72.79% -61.16%

19


1 Simplification

1. 999 x 999 = ? (1) 990809 (2) 998996 (3) 998999 (4) 999824

2. = ? (1) 5997 (2) 5979 (3) 5994 (4) 2997

3. (10002 - 9992) = ? (1) 1 (2) 1000 (3) 999 (4) 1999

4. 104 × 104 + 96 × 96 = ? (1) 20032 (2) 19616 (3) 19032 (4) None of these

5. (73 × 73 + 48 × 48 - 73 × 48 × 2) = ? (1) 620 (2) 625 (3) 860 (4) 956

6. of (1) 10 (2) 12 (3) 8 (4) 6

7.

(1) (2)

(3) (4) None of these

8. =?

(1) 0 (2)

(3) (4)

9.

(1) (2)

(3) (4)

10.

(1) 25 (2)

(3) (4)

11. -3= ? (1) 5994 (2) 5979 (3) 5997 (4) 2997

12. = ? (1) 1 (2) 2 (3) 4 (4) 8

13. = ?

(1) (2)

(3) 7 (4)

14. = ? (1) 1000 (2) 1100 (3) 100 (4) 566

15. = ? (1) 320 (2) 420 (3) 310 (4) 330

20


16. = ? (1) 0.57 (2) 0.66 (3) 0.68 (4) 0.77

17. =? (1) 4.2 (2) 4.6 (3) 5.1 (4) 1.5

18. =?

(1) (2)

(3) (4)

19. =? (1) 4 (2) 2 (3) 1435 (4) 8

20. = ? (1) 4 (2) 8 (3) 1156 (4) 1256

21. = ?

(1) (2)

(3) (4)

22. = ?

(1) 0 (2)

(3) (4)

23. = ?

(1) (2)

(3) (4) None

24. = ?

(1) (2)

(3) (4)

25. = ?

(1) (2)

(3) (4)

26. 6784 x 786 + 6784 x 214 = ? (1) 6784000 (2) 7865000 (3) 5463000 (4) 3425400

27. 8765 x 974 – 8765 x 874 = ? (1) 876400 (2) 876600 (3) 876500 (4) 877600

28. 105 x 105 = ? (1) 11025 (2) 12055 (3) 12025 (4) 10005

29. 194 x 194 = ? (1) 36636 (2) 37636 (3) 30987 (4) 35654

30.

(1) (2) 0

(3) (4)

31.

(1) (2)

21


(3) (4) 1

32. = ?

(1) (2)

(3) (4)

33. = ? (1) 0.3075 (2) 0.3082 (3) 0.3083 (4) 0.3085

34. = ? (1) 1.30 (2) 1.35 (3) 1.37 (4) 1.40

35. =?

(1) (2)

(3) (4)

36. If 2x = 5 and 3y = 8, then is equal to

(1) (2)

(3) (4)

37. If then = ? (1) -5 (2) -3 (3) -1 (4) +1

38. If 5x2 - 13xy + 6y2 = 0 then] x : y = ? (1) 5 : 3 ;k 1 : 2 (2) 3 : 5 ;k 2 : 1 (3) 2 : 1 (4) 3 : 5

39. If (30)2 - (20)2 = 10x then x = ? (1) 30 (2) 40 (3) 50 (4) 60

40. If a + b = 13 and 4ab = 144] then a - b = ?

(1) 6 (2) (3) (4)

41. A boy was asked to multiply a number by 12. By mistake he multiplied the number by 21 and got his answer 63 more than the correct answer. The number was:

(1) 7 (2) 8 (3) 9 (4) 1242. A boy was asked to multiply a number by 25. By

mistake he multiplied the number by 5 and got his answer 500 less than the correct answer. The number was:

(1) 15 (2) 25 (3) 20 (4) 3543. A farmer divides his herd of cows among his four

sons so that first son gets one half of the herd, the second son one fourth, the third son gets one-fifth and the fourth son 7 cows. The total number of cows in the herd is:

(1) 100 (2) 140 (3) 180 (4) 240

44. A boy read of a book one day and another day. If there were 30 page unread how many pages did book contain?

(1) 240 (2) 1200 (3) 600 (4) None

45. A man spends of the money with him on

clothes, of the remaining on food and ¼ of the remaining on travel. Bow he is left with Rs. 100. How much did he have in the beginning?

(1) 200 (2) 250 (3) 300 (4) 450

46. A man spends of the money with him on

clothes, of the remaining on food and of the remaining on travel. now he is left with Rs. 2400. How much did he have in the beginning?

(1) 6200 (2) 5000 (3) 3000 (4) 6000

47. Some student’s planned a picnic. The budget for food was Rs 500. But 5 of them failed to go and thus the cost of food for each member increased by Rs. 5. How students may attend the picnic?

(1) 15 (2) 20 (3) 25 (4) 3048. On the children’s day sweets were distributed

equally among 540 children but on that day 120 children were absent. Hence each child got

22


4 more sweets. How many sweets were to be distributed to each child originally ?

(1) 14 (2) 18 (3) 20 (4)None49. A total of 50 notes of 10 Rs and 20 Rs make a sum

of Rs. 700. The number of 20 Rs notes is: (1) 25 (2) 30 (3) 40 (4) 2050. A total of 324 coins of 20 paisa and 25 paisa make

a sum of Rs. 71. Number of 25 paisa coins is: (1) 120 (2) 124 (3) 144

(4) 20051. Ram has some hens and goats. If the total number

of animal heads is 90 and the total number of animal feet is 248, what is the total number of goats ram has ?

(1) 54 (2) 56 (3) 34 (4) 5052. In an objective examination of 90 questions 5

marks are allotted for every correct answer and 2 marks are deducted for every wrong answer. After attempting all the 90 questions a student got a total of 387 marks. The number of questions attempted wrong were:

(1) 9 (2) 18 (3) 27 (4) 3653. A vessel full of water weighs 40 kg. If it is half

filled its weight is 30kg.Weight of empty vessel is

(1) 10kg (2) 15kg (3) 20kg (4) 25kg54. A vessel full of water weighs 100 kg. If it is half

filled its weight is 70kg.Weight of empty vessel is

(1) 30kg (2) 50kg (3) 40kg (4) 25kg55. A class starts at 10 am and lasts till 1:27 p.m. four

periods are held during this interval. After every period, 5 minutes are given free to the students. The exact duration of each period is:

(1) 42 min (2) 48 min (3) 51 min (4) 53 min56. A class starts at 8 a.m. and lasts till 12:40 a.m. 5

periods are held during this interval. After every period, 10 minutes are given free to the students. The exact duration of each period is:

(1) 42 min (2) 48 min (3) 51 min (4) 53 min

57. A tree increases annually by of its height. What will be its height after 2 years, if it stands today 64 cm high?

(1) 72 cm (2) 74 cm (3) 81 cm (4) 85 cm58. How many digits are required for numbering the

pages of a book having 300 pages? (1) 299 (2) 492 (3) 789 (4) 79259. A frog tries to come out of a dried well 9 m deep

with slippery walls. Every time the frog jumps 60 cm, he slides back by 30 cm. How many jumps will frog have to take to come out of the well?

(1) 20 (2) 29 (3) 30 (4) 3160. A frog tries to come out of a dried well 50 m deep

with slippery walls. Every time frog jumps 5 m, he slides back by 2 m. How many jumps will frog have to take to come out of the well?

(1) 12 (2) 15 (3) 16 (4) 3161. After measuring 120 metres of a rope, it was

discovered that the metre rod was 3 cm longer. The true length of rope measured is:

(1) 116 m 40 cm (2) 121 m 20 cm (3) 123 m (4) 123 m 60 cm62. Ram went to a shop to buy 50 kg of rice. He buys

two varieties of rice which cost him 4.5 per kg and 5 per kg. He spends a total of 240. What was the quantity of cheaper rice bought by him?

(1) 20 kg (2) 25 kg (3) 30 kg (4) None

63. In an examination a student was asked to find

of a number. By mistake he found of it. He is answer was 150 more than the correct answer. The given number is?

(1) 180 (2) 240 (3) 280 (4) 29064. A man purchased 147 stamps of 60-paise and

35-paise. The total amount he spent was Rs. Rs. 68.20. How many 35-paise stamps were purchased by him?

(1) 60 (2) 72 (3) 76 (4) 80

23


anSWer

1. (2) 2. (1) 3. (4) 4. (1) 5. (2)6. (3) 7. (1) 8. (1) 9. (2) 10. (3)11. (1) 12. (4) 13. (3) 14. (1) 15. (3)16. (1) 17. (1) 18. (2) 19. (2) 20. (1)21. (1) 22. (2) 23. (1) 24. (1) 25. (4)26. (1) 27. (3) 28. (1) 29. (2) 30. (1)31. (2) 32. (4) 33. (3) 34. (3) 35. (1)36. (4) 37. (2) 38. (2) 39. (3) 40. (3)41. (1) 42. (2) 43. (2) 44. (2) 45. (2)46. (4) 47. (2) 48. (1) 49. (4) 50. (2)51. (3) 52. (1) 53. (3) 54. (3) 55. (2)56. (2) 57. (3) 58. (4) 59. (2) 60. (3)61. (1) 62. (1) 63. (3) 64. (4)

24


1.

(1) (2)

(3) (4)

2. = ?

(1) (2)

(3) (4)

3. (1) 23 (2) 60 (3) 71 (4)Noneof these

4. =? (1) 18 (2) 14 (3) 324 (4) 212

5. =?

(1) (2) 3200

(3) (4)

6. =?

(1) (2) 2 (3) 4 (4) 8

7. (1) 2 (2) 3 (3) 4 (4) 7

8. = ?

(1) (2)

(3) (4)Noneof these

9. = ?

(1) (2)

(3) (4)

10. =?

(1) 2 (2)

(3) (4)

11. = ? (1) 13 (2) 15 (3) 25 (4) 125

12. =?

(1) 0= (2) 0 -1 (3) 1-2 (4) more then2

13. =?

(1) 6 (2)

(3) (4) 2

14.

(1) (2)

(3) (4)

Squares, & cube roots2

25


15. =?

(1) (2)

(3) (4)

16. =? (1) 4 (2) 5.7 (3) 3 (4) more 6

17. (1) 0 (2) 1 (3) 2 (4) 263/64

18. (1) 9 (2) 215/16

(3) 3 (4) 12

19. If then x =? (1) 1 (2) 2 (3) 5 (4) 7

20. If thenx = \ (1) 1 (2) 3 (3) 5 (4) 7

21. Whichoneofthefollowingcannotbesquareofnatural

number\ (1)30976 (2)75625 (3)28561 (4)143642

22. Whichoneofthefollowingcannotbesquareofnatural

number\ (1)32761 (2)81225 (3)42437 (4)20164

23. =? (1) 3 (2)9 (3) 7 (4)5

24. =? (1) 14 (2)16 (C) 12 (4)18

25. =?

(1) (2) (C) 7 (4)4

anSWer

1. (1) 2. (1) 3. (3) 4. (3) 5. (1)6. (2) 7. (1) 8. (2) 9. (1) 10. (1)11. (4) 12. (3) 13. (4) 14. (1) 15. (2) 16. (1) 17. (4) 18. (3) 19. (1) 20. (1)21. (4) 22. (3) 23. (1) 24. (3) 25. (3)

26


fraction & Decimal fraction31. Which one is lowest fraction ?

(1) (2)

(3) (4)

2. , find the difference between highest fraction & lowest fraction ?

(1) (2)

(3) (4) none of these

3. and find the difference between highest fraction & lowest fraction ?

(1) (2)


4. Arrange the given fraction in ascending order?

(1) (2)

(3) (4)

5. If and then? (1) p < q < r (2) q < r < p (3) r < p < q (4) r < q < p

6. If numerator of fraction is increase by 15% and denominator is decreased by 8% then fraction

becomes . Find the original fraction?

(1) (2)

(3) (4)

7. If numerator of fraction is increase by 20% and denominator is decreased by 30% then fraction

becomes . Find the original fraction?

(1) (2)

(3) (4)

8. 225 of of is how much more or less\ (1) 9 (2) 19 (3) 81 (4) none of these

9.

= ?

(1) (2) 1

(3) n - 1 (4)

10. = ?

(1) (2)


11. 8 + 7.9 - {2.1 - 6.3 - (2.1 - 0.9) + 15.2} = ? (1) 2.1 (2) 6.3 (3) 7.9 (4) 8.0

12. 631.39 + 142.412 + 53.0127 = ? (1) 836.8147 (2) 827.0869 (3) 826.3629 (4) 826.8147

27


13. 1376.23 - ? = 841.474 - 149.031 (1) 685.787 (2) 785.767 (3) 681.387 (4) 683.787

14. 4 + 0.02 + 8 ÷ 0.2 + 8 × 0.02 = ? (1) 40.24 (2) 44.18 (3) 44.28 (4) None of these

15. 1 × 0.1 × 0.01 × 0.001 = ? (1) 0.00001 (2) 1.00001 (3) 0.000001 (4) 1.1

16. = ? (1) 1.410 (2) 1.412 (3) 1.413 (4) 1.414

17.

(1) 0.9 (2) 0.99 (3) 9 (4) 99

18. 10.5 of of is how much more or less?

(1) 0.97 (2) 0.7 (3) 0.7 (4) none of these

19. If then = ?

(1) 0.085 (2) 0.086 (3) 0.850 (4) 0.860

20. If then

(1) 7.09 (2) 7.10 (3) 7.11 (4) 7.12

21.

= ?

(1) 0.630 (2) 0.631 (3) 0.632 (4) 0.633

22. which one is smallest.

(1) (0.5)2 (2)

(3) (4) 0.23

23. If 4545 ÷ 22.5 = 202 then 45.45 ÷ 2.25 = ? (1) 0.0202 (2) 0.202 (3) 20.2 (4) none of these

24. = ?

(1) (2)

(3) (4)

25. =\

(1) (2)

(3) (4)

26. = \

(1) 1.20 (2)

(3) (4)

27. = \ (1) 0.9 (2) 0.09 (3) 9.009 (4) 0.08

28. = ? (1) 0.11 (2) 0.33 (3) 1.1 (4) 3.3

29. (1) 1.15 (2) 7.70 (3) 8.85 (4) 10

30. = ? (1) 1.6 (2) 1.4

28


(3) 1.3 (4) 1.2

31. (1) 10 (2) 100 (3) 10000 (4) 0.1

32. = ? (1) 102 (2) 10 (3) 0.1 (4) 0.01

33.

= ? (1) 15.625 (2) 150.02 (3) 1 (4) 2

34. = ? (1) 2 (2) 1 (3) 3 (4) 8

AnswerKey1. (4) 2. (3) 3. (3) 4. (3) 5. (2)6. (2) 7. (4) 8. (1) 9. (4) 10. (3) 11. (3) 12. (4) 13. (4) 14. (2) 15. (3) 16. (4) 17. (2) 18. (1) 19. (2) 20. (3) 21. (4) 22. (3) 23. (3) 24. (3) 25. (4) 26. (4) 27. (2) 28. (3) 29. (4) 30. (4) 31. (2) 32. (2) 33. (1) 34. (4)

29


4 number System

1. The face value of 7 in the numeral 6347 is: (1) 7 (2) 721 (3) 714 (4) 700

2. The place (local) value of 8 in the numeral 847 is: (1) 8 (2) 80 (3) 800 (4) none

3. The difference between the place values of 8 in the numeral 62834481 is:

(1) 0 (2) 83400 (3) 799920 (4) 753

4. The difference between the local value and face value of 6 in the numeral 586723 is:

(1) 723 (2) 6717 (3) 5994 (4) None

5. If 517y324 is divisible by 3 then what smallest digit is there in place of y ?

(1) 0 (2) 1 (3) 2 (4) None

6. If 481y673 is exactly divisible by 9, then the digit in place of y is?

(1) 2 (2) 5 (3) 6 (4) 7

7. What least value must be given to y so that the number 91876y2 is divisible by 8?

(1) 1 (2) 2 (3) 3 (4) 4

8. What least value must be given to y so that the number 97215y6 is divisible by 11?

(1) 3 (2) 2 (3) 1 (4) 5

9. What least value must be given to ‘ # ’ so that the number 972#3 is divisible by 11?

(1) 3 (2) 2 (3) 7 (4) 5

10. Which of the following numbers is exactly divisible by 45?

(1) 181560 (2) 331145 (3) 202860 (4)2023550

11. Which of the following numbers is exactly divisible by 99?

(1) 3572404 (2) 135792 (3) 913464 (4) 114345

12. The first prime number is: (1) 0 (2) 1 (3) 2 (4) 3

13. The sum of first five prime numbers is: (1) 11 (2) 18 (3) 26 (4) 28

14. Number of all prime numbers less than 50 is: (1) 16 (2) 15 (3) 14 (4) 18

15. Which of the following is a prime number? (1) 33 (2) 81 (3) 93 (4) 97

16. Which of the following numbers is prime? (1) 119 (2) 187 (3) 247 (4) 483

17. The smallest 3-digit prime number is: (1) 103 (2) 107 (3) 109 (4) None

18. What least number of five digits is exactly divisible by 41?

(1) 10045 (2) 10004 (3) 10041 (4) 10025

19. What largest number of four digits is exactly divisible by 88?

(1) 9768 (2) 9988 (3) 9944 (4) 8888

20. What least number must be subtracted from 13601 to get a number exactly divisible by 87?

(1)49 (2) 23 (3) 29 (4) 31

21. What least number must be added to 1056 to get a number exactly divisible by 23?

(1) 2 (2) 3 (3) 18 (4) 21

22. In a division sum the divisor is ten times the quotient and five times the remainder. If the remainder is 46, the dividend is:

(1) 4236 (2) 4306 (3) 4336 (4) 5336

23. In a division sum, the remainder is 6 and the divisor is 5 times the quotient and is obtained by adding 2 to the trice of the remainder. The dividend is:

(1) 40 (2) 42 (3) 80 (4) 86

24. A number divided by 56 given 29 as remainder. If the same number is divided by 8 the remainder will be:

(1) 4 (2) 5 (3) 6 (4) 7

25. On dividing a certain number by 357, the remainder is 39. On dividing the same number by 17 that will be the remainder?

(1) 0 (2) 3 (3) 5 (4) 11

LeVeL-1

30


26. A number when divided by 5 leaves 3 as remainder. What will be the remainder when the square of this number is divided by 5?

(1) 0 (2) 1 (3) 2 (4) 4

27. The unit digit in 3*7*6*4*9*2* is (1) 4 (2) 2 (3) 6 (4) 8

28. The unit digit in (584*428*667*213)is” (1) 2 (2) 3 (3) 4 (4) 529. The unit digit in 7 105 is: (1) 5 (2) 7 (3) 9 (4) 130. The unit digit in (365*6 59*741 )is: (1) 1 (2) 2 (3) 4 (4) 6

31. What is the unit digit in (3254)1793*(415)317*(241)491? (1) 0 (2) 2 (3) 3 (4) 532. The numbers 1,2,3,4... 1000 are multiplied

together. The number of zeros at the end of the product must be

(1) 30 (2) 130 (3) 200 (4) 24933. The number 2,4,6,8......98,100 are multiplied

together. The number of zeros at the end of the product is

(1) 8 (2) 10 (3) 12 (4) 1634. The numbers 1, 3,5......, 25 are multiplied. The

number of zeros at the right end of product is: (1) 0 (2) 1 (3) 2 (4) 335. If 17 200 is divided by 18, the remainder is: (1) 17 (2) 16 (3) 1 (4) 236. When 25 25 is divided by 26 the remainder is: (1) 1 (2) 2 (3)24 (4) 2537. If (67 67 +67) is divided by 68, the remainder is: (1) 1 (2) 63 (3) 66 (4) 6738. Which one of the following will divide (4 61+4 62+463+4 64) completely? (1) 3 (2) 10 (3) 11 (4) 1339. Which one of the following ill divide (325+3 26+3 27+3 28) completely? (1) 11 (2) 16 (3) 25 (4) 30

40. (1 2+2 2+3 2+ 4 2+.... +20 2)=? (1) 2770 (2) 2870 (3) 2970 (4) 2860

41. (11 2+12 2+13 2+ 14 2+.... +20 2)=? (1) 385 (2) 2485 (3) 2870 (4) 3235

42. (2 2+ 4 2+ 6 2+......+20 2)=? (1) 770 (2) 1155 (3) 1540 (4) 385

43. (1 2-2 2+32 – 4 2 + 5 2- 6 2+.......+9 2-10 2) =? (1) 45 (2) -45 (3) -54 (4) -55

44. (1 3+2 3+3 3+ 4 3+.... +20 3)=? (1) 44100 (2) 44110 (3) 43100 (4) 210

45. (11 3+12 3+13 3+ 14 3+.... +20 3)=? (1) 40075 (2) 41075 (3) 43470 (4) 32355

46. (1 3-2 3+33- 4 3 + 5 3- 6 3+.......+9 3-10 3) =? (1) 575 (2) 540 (3) -540 (4) -575

47. ++++

201

121

61

21

................. 901

= ? (1) 1/10 (2) 9/10 (3) 1/90 (4) 1/9

48. 16x131

13x101

10x71

7x41

4x11 ++++

= ? (1) 1/3 (2) 5/16 (3) 3/8 (4) 41/7280

49. The unit digit in (795-358) is: (1) 0 (2) 4 (3) 6 (4) 7

50. The digit in the unit place of the product (2137)754 is:

(1) 1 (2) 3 (3) 7 (4) 9

51. If the unit digit in (549*56*28y*684) be 8, t h e n what digit will be there in place of y ?

(1) 4 (2) 3 (3) 2 (4) 1

52. (45+46+47+......+113+114+115)=? (1) 5600 (2) 5656 (3) 5680 (4) 4000

53. Which of the following fractions is less than 87

and greater than 31

?

(A) ¼ (2) 2423

(3) 1211

(4) 2417

54. 7589-? =3434 (A) 11023 (2) 4245 (3) 4155 (4) 112355. 9584+7314=8362+? (1) 9548 (2) 8410 (3) 8500 (4) none

56. 8597-? =7429-4358 (1) 5426 (2) 5526 (3) 5706 (4)none

31


57. 11992-7823-456=? (1) 3703 (2) 3813 (3) 3713 (4) 3823

58. 12846*593+12846*407=? (1) 12846000 (2) 14203706 (3) 24038606 (4) none59. 14927*567-14927*467=? (1) 2985400 (2) 1492700 (3) 7463500 (4) None

60. 1499*1499=? (1) 19501 (2) 1900501 (3) 2247001 (4)none

61. 1506*1506=? (1) 2268036 (2) 2278036 (3) 2178036 (4) None

62. 8988÷ 4 ÷ 4 =? (1) 4494 (2) 561.75 (3) 2247 (4) None

63. 888888÷ 888 ÷ 88=? (1) 88889 (2)29 (3) 44449 (4)none

64. 106*106-94*94=? (1) 2400 (2) 2000 (3) 1904 (4) 1906

65. (946+157)2+(946-157)2/(946*946+157*157)=? (1) 1 (2) 2 (3) 789 (4) 1103

66. (569+163)2-(569-163)2/(569*163)=? (1) 2 (2) 4 (3) 406 (4) 732

67. A, B, C, D are four consecutive odd integers and their average is 42. What is product of B and D?

(1) 1860 (2) 1890 (3) 1845 (4) 1677

68. The sum and product of two numbers are 12 and 35. The sum of their reciprocals is:

(1) 12/35 (2) 1/35 (3) 35/8 (4) 7/32

69. If three-fifths of 60% of a number is 36, the number is:

(1) 100 (2) 80 (3) 75 (4) 90

70. Which of the following is not a prime number? (1) 31 (2) 61 (3) 71 (4) 91

71. Which of the following numbers is prime? (1) 161 (2) 221 (3) 373 (4) 437

72. If a and b are odd numbers then which of the following is even?

(1) a+b (2) a+b+1 (3) ab (4) ab+2

73. First 100 multiples of 10 are multiplied. The

number of zeros at end of the product must be. (1) 110 (2) 111 (3) 120 (4) 124

74. On multiplying a number by 7 all the digits in the product appear as 3’s. The smallest such number is:

(1) 47619 (2) 47719 (3) 48619 (4) 47649

75. A number when divided by 6 leaves a remainder 3. When the square of the same number is divided by 6, the remainder is:

(1) 0 (2) 1 (3) 2 (4) 3

76. When n is divided by 4 the remainder is 3. What will be the remainder when 2n is divided by 4?

(1) 1 (2) 2 (3) 3 (4) 0

77. What lest value must be given to y so that the number 42573y is exactly divisible by 72?

(1) 4 (2) 5 (3) 6 (4) 7

78. How Many 3-digit numbers are there each one of which is divisible by 6?

(1) 149 (2) 150 (3) 151 (4) 166

79. How many numbers between 200 and 600 are divisible by 4, 5 and 6?

(1) 5 (2) 6 (3) 7 (4) 8

answer key1. (1) 2. (3) 3. (3) 4. (3) 5. (3) 6. (4) 7. (3) 8. (1) 9. (3) 10. (3)11. (4) 12. (3) 13. (4) 14. (2) 15. (4)16. (5) 17. (4) 18. (2) 19. (3) 20. (3)21. (1) 22. (4) 23. (4) 24. (2) 25. (3)26. (4) 27. (2) 28. (1) 29. (2) 30. (4)31. (1) 32. (4) 33. (3) 34. (1) 35. (3)36. (4) 37. (3) 38. (2) 39. (4) 40. (2)41. (2) 42. (3) 43. (4) 44. (1) 45. (2)46. (4) 47. (2) 48. (2) 49. (2) 50. (4)51. (2) 52. (3) 53. (4) 54. (3) 55. (4)56. (2) 57. (3) 58. (1) 59. (2) 60. (3)61. (A) 62. (2) 63. (4) 64. (1) 65. (2)66. (2) 67. (3) 68. (1) 69. (1) 70. (4)71. (3) 72. (1) 73. (2) 74. (1) 75. (4)76. (2) 77. (3) 78. (2) 79. (2)

32


number System LeVeL-2

Type 1

1. Which of the following fractions is the smallest?

(1) 7/6 (2) 7/9 (3) 4/5 (4) 5/7


(1) (2) (3) (4)

3. The smallest possible three-place decimal is: (1) 0.012 (2) 0.123 (3) 0.111 (4) None of the above


(1) 8/15 (2) 7/13 (3) 11/13 (4) 14/33

5. Arrange in the ascending order:

(1) (2)

(3) (4)

6. Which of the following is the smallest fraction?

(1) (2) (3) (4)

7. Of the following the largest fraction is

:

(1) 6/7 (2) 4/5 (3) 5/6 (4) 7/8

8. Arrange the following fractions in decreasing order:

(1) ( 2 )

(3) ( 4 )

9. The fractions and written in

ascending order give:

(1) (2)

33


(3) (4)

10. Which of the following fractions is greater than 3/4 but less than 5/6 ?

(1) 2/3 (2) 1/2 (3) 4/5 (4) 9/10

11. The greatest fraction among and

is

(1) (2) (3) (4)

12. The least number among 0.45 and

(0.8)2 is

(1) (2) (3) 0.45

(4) (0.8)2

13. Which of the following numbers is the greatest of all?

(1) 0.9 (2) (3) ( 4 )

14. The greatest value among the fractions

is:

(1) 3/4 (2) 5/6 (3) 1/3 (4) 2/7

Type 2

15. The numbers 1, 3, 5, 7 ...., 99 and 128 are multiplied together. The number of zeros at the end of the product must be:

(1) 19 (2) 22 (3) 7 (4) Nil

16. Numbers 2, 4, 6, 8, 10, ..... 196, 198, 200 are multiplied together. The number of zeros at the end of the product on the right will be equal to:

(1) 21 (2) 22 (3) 24 (4) 25

17. Numbers 1, 2, 3, 4, .... 98, 99, 100 are multiplied together. The number of zeroes at the end of the product on the right will be equal too

(1) 24 (2) 22 (3) 21 (4) 11

Type 3

18. 0. is equal to:

(1) (2) ( 3 )

(4)

19. When 0. is converted as a fraction, the

resutl is

(1) (2) (3) (4)

20. is equivalent to the fraction:

(1) (2) ( 3 )

(4)

21. 0.393939 .... is equal to

34


(1) (2) ( 3 )

(4)

22. 1/11 is equal to (1) 0.009 (2) 0.0 ( 3 )

(4)

23. The number 0.121212 .... in the form p/q is equal to

(1) 4/11 (2) 2/11 (3) 4/33 (4) 2/33

24. is equal to

(1) (2) ( 3 )

(4)

25. in the form p/q is equal to

(1) 127/100 (2) 73/100 (3) 14/11 (4) 11/14

26. The difference of 5. and 2. is

(1) (2) ( 3 )

(4)

27. The dicimal fraction is equal to

(1) 2326/999 (2) 2326/990 (3) 2347/999 (4) 2347/990

28. The value of is

(1) 1 (2) 100/99 (3) 99/100 (4) 100/33

Type 4

29. 380 mangoes are distributed among some boys and girls who are 85 in number. Each boy gets four mangoes and each girl gets five. The number of boys is

(1) 15 (2) 38 (3) 40 (4) 45

30. Each member of a picnic party contributed twice as many rupees as the total number of members and the total collection was Rs. 3042. The number of members present in the party was

(1) 2 (2) 32 (3) 40 (4) 39

Type 5

31. The digit in unit's place of the product (2153)167 is: (1) 1 (2) 3 (3) 7 (4) 9

32. The digit is the unit's place of the product (2464)1793 × (615)317 × (131)491 is (1) 0 (2) 10 (3) 3 (4) 2

33. Unit digit in (264)102 + (264)103 is: (1) 0 (2) 4 (3) 6 (4) 8

34. The digit in the unit's place of [(251)98 + (21)29 – (106)100 + (705)35 – 164 + 259] is

(1) 1 (2) 4 (3) 5 (4) 6

35. The digit in the unit's place of the product (2137)754 is

(1) 1 (2) 3 (3) 7 (4) 9

36. What will be the unit digit in the product 7105? (1) 5 (2) 7 (3) 9 (4) 1

37. The unit's digit in the expansion of (2137)754 is (1) 1 (2) 3 (3) 7 (4) 9

38. One's digit of the number (22)23 is (1) 4 (2) 6 (3) 8 (4) 2

39. The unit digit in the product (122)173 is (1) 2 (2) 4 (3) 6 (4) 8

40. The last digit of (1001)2008 + 1002 is (1) 0 (2) 3 (3) 4 (4) 6

41. Find the unit digit in the product (4387)245 × (621)72. (1) 1 (2) 2 (3) 5 (4) 7

35


42. The units digit of the expression 256251 + 36528 + 7354 is

(1) 6 (2) 5 (3) 4 (4) 0

43. The unit's digit in the product 771 × 663 × 365 is (1) 1 (2) 2 (3) 3 (4) 4

Type 6

44. A number when divided by 899 gives a remainder 63. If the same number is divided by 29, the remainder will be:

(1) 10 (2) 5 (3) 4 (4) 2

45. When a number is divided by 56, the remainder obtained is 29. What will be the remainder when the number is divided by 8?

(1) 4 (2) 5 (3) 3 (4) 7

46. A number when divided by 3 leaves a remainder 1. When the quotient is divided by 2, it leaves a remainder 1. What will be the remainder when the number is divided by 6?

(1) 3 (2) 4 (3) 5 (4) 2

47. Two numbers, when divided by 17, leave remainders 13 and 11 respectively. If the sum of those two numbers is divided by 17, the remainder will be

(1) 13 (2) 11 (3) 7 (4) 4

48. A number, when divided by 221, leaves a remainder 64. What is the remainder if the same number is divided by 13?

(1) 0 (2) 1 (3) 11 (4) 12

49. When 'n' is divisible by 5 the remainder is 2. What is the remainder when n2 is divided by 5?

(1) 2 (2) 3 (3) 1 (4) 4

50. The remainder when 321 is divided by 5 is (1) 1 (2) 2 (3) 3 (4) 4

51. A number when divided by 49 leaves 32 as remainder. This number when divided by 7 will have the remainder as

(1) 4 (2) 3 (3) 2 (4) 5

52. When a number is divided by 36, the remainder is 19. What will be tbe remainder when the number is divided by 12?

(1) 7 (2) 5 (3) 3 (4) 0

53. 96 – 11 when divided by 8 would leave a remainder of:

(1) 0 (2) 1 (3) 2 (4) 3

54. If 17200 is divided by 18, the remainder is: (1) 17 (2) 16 (3) 1 (4) 2

55. A number divided by 56 gives 29 as remainder. If the same number is divided by 8, the remainder will be

(1) 7 (2) 6 (3) 5 (4) 4

56. When 231 is divided by 5 the remainder is (1) 4 (2) 3 (3) 2 (4) 1

57. When a number is divided by 387, the remainder obtained by 48. If the same number is divided by 43, then the remainder obtained will be:

(1) 0 (2) 3 (3) 5 (4) 35

58. When two numbers are separately divided by 33, the remainders are 21 and 28 respectively. If the sum of the two numbers is divided by 33, the remainder will be

(1) 10 (2) 12 (3) 14 (4) 16

59. When a number is divided by 24, the remainder is 16. The remainder when the same number is divided by 12 is

(1) 3 (2) 4 (3) 6 (4) 8

60. When an integer K is divided by 3, the remainder is 1 and when K + 1 is divided by 5, the remainder is 0. Of the following, a possible value of K is

(1) 62 (2) 63 (3) 64 (4) 65

61. A number when divided by 91 gives a remainder 17. When the same number is divided by 13, the remainder will be:

(1) 0 (2) 4 (3) 6 (4) 3

62. A number when divided by 280 leaves 115 as remainder. When the same number is divided by 35, the remainder is

(1) 15 (2) 10 (3) 20 (4) 17

63. A certain number when divided by 175 leaves a remainder 132. When the same number is divided by 25, the remainder is:

(1) 6 (2) 7 (3) 8 (4) 9

Type 7

64. The value of is

(1) 5/39 (2) 4/39 (3) 2/39 (4) 7/39

36


69. Find the sum :

(1) 7/8 (2) 11/12 (3) 15/16 (4) 17/18

70. The sum of the first 35 terms of the series

..... is:

(1) –1/2 (2) –1/4 (3) 1/4 (4) None of these

71. The value of 999 × 999 is:

(1) 990809 (2) 998996 (3) 998999 (4) 999824

73. is equal to:

(1) 7/30 (2) 11/30 (3) 13/30 (4) 17/30

74. The value of

is:

(1) 1/100 (2) 99/100 (3) 1 (4) 101/100

75.

(1) 5/11 (2) 11/50 (3) 13/30 (4) 11/5

76. (51 + 52 + 53 + ..... + 100) is equal to: (1) 2525 (2) 2975 (3) 3225 (4) 3775

77. How many numbers between 200 and 600 are divisible by 4, 5 and 6?

(1) 5 (2) 6 (3) 7 (4) 8

78. If (12 + 22 + 32 + .... + 102) = 385, then the value of (22 + 42 + 62 + ..... + 202) is:

(1) 770 (2) 1155 (3) 1540 (4) (385 × 385)

79. The value of (112 + 122 + 132 + 142 + ..... + 202) is: (1) 385 (2) 2485 (3) 2870 (4) 3255

80. 461 + 462 + 463 is divisible by: (1) 3 (2) 10 (3) 11 (4) 13

Type 8

81. In a examination, a student scores 4 marks for every correct answer and loses 1 mark for every wrong answer. A student attempted all the 200 questions and scored, in all 200 marks. The number of questions, he answered correctly was

(1) 82 (2) 80 (3) 68 (4) 60

82. In a examination a student scores 4 marks for every correct answer and loses 1 mark for every wrong answer. If he attempts all 75 questions and secures 125 marks, the number of questions he attempts correctly is

(1) 35 (2) 40 (3) 42 (4) 46

83. A man has some hens and cows. If the number of heads : number of feet = 12 : 35, find out the number of hens, if the number of heads alone is 48.

(1) 28 (2) 26 (3) 24 (4) 22

Type 9

37


5 Hcf and LcM

1. The simplest form of 69/92 is: (1) 2/3 (2) ¾ (3) 13/24 (4) None

2. The simplest form of 561/748 is: (1) 13/14 (2) 11/14 (3) 23/24 (4) ¾

3. The H.C.F. of 30,45,60,75 and 90 id : (1) 3 (2) 5 (3) 15 (4) 30

4. The H.C.F of 595 and 252 is (1) 1 (2) 7 (3) 11 (4) 17

5. The H.C.F of 1485 and 4356 is (1) 189 (2) 89 (3) 99 (4) 83

6. The L.C.M. of 12,15,20,30 and 60 is : (1) 30 (2) 15 (3) 3 (4) 60

7. L.C.M of 27, 63 and 72 is: (1) 1512 (2) 1522 (3) 1532 (4) 1542

8. The L.C.M of 24, 36 and 40 is (1) 120 (2) 240 (3) 360 (4) 480

9. The H.C.F of ½, 2/3 , ¾, 4/5 is (1) 1 (2) 12 (3) 4/5 (4) 1/60

10. The H.C.F of 2/3, 8/9, 10/27, 32/81 is (1) 160/81 (2) 160/3 (3) 2/81 (4) 2/3

11. The L.C.M of ¾, 6/7, 9/8 is (1) 18 (2) 3 (3) 3/56 (4) 9/28

12. The L.C.M of 5/42, 10/63, 15/28 is (1) 30/7 (2) 3/14 (3) 10/56 (4) 15/28

13. The L.C.M. of 0.42, 2.1, 5.6 is (1) 16.8 (2) 0.42 (3) 5.6 (4) 21

14. The H.C.F. of 0.42, 2.1, 5.6 is (1) 0.35 (2) 3.5 (3) 0.14 (4) 0.07

15. 252 can be expressed as a producer of primes as (1) 2*2*2*3*7 (2) 3*3*3*3*7 (3) 2*2*3*3*7 (4) 2*3*3*3*7

16. H.C.F of (2 2*3 3*5 5),(2 3*3 2*5 2*7) and (2 4*3 4*5*11*7 2) is (1) 180 (2) 360 (3) 540 (4) 1260

17. L.C.M. of (2 2*3 3*5 3),(2 3*3 2*5 2*7) and (2*3*5*7 2) is (1)1224000 (2)1323000 (3)1524000 (4)1236000

18. Which of the following is a pair of cop rimes? (1) (14.35) (2) (18.25) (3) (31.93) (4) (32.62)

19. The H.C.F of two numbers is 8. Which of the following numbers cannot be the L.C.M of these numbers?

(1) 24 (2) 48 (3) 56 (4) 60

20. The H.C.F of two numbers is 24. The number which can be their L.C.M is:

(1) 84 (2) 120 (3) 128 (4) 148

21. The ratio between two numbers is 15: 11. If their H.C.F is 7 then the numbers are:

(1) 75, 55 (2) 105, 77 (3) 15, 11 (4) None

22. The H.C.F of three numbers is 12. If they are in the ratio 1:2:3, then the numbers are:

(1) 6,12,18 (2) 10,20,30 (3) 12,24,36 (4) 24,48,72

23. The ratio between two numbers is2:3. If their L.C.M is 150 then the numbers are

(1) 30, 40 (2) 48, 64 (3) 50, 75 (4) None

24. If two numbers are in the ratio 5:7 and their L.C.M is 315 then their product is:

(1) 2358 (2) 2385 (3) 2835 (4) None

25. The H.C.F of two numbers is 11 and their L.C.M is 7700. If one of the numbers is 275, then other is:

(1) 279 (2) 283 (3) 308 (4) 318

26. The L.C.M of two numbers is 180 and their H.C.F is 30. If one of these numbers is 90, the second number is:

(1) 35 (2) 140 (3) 70 (4) 60

27. The H.C.F and L.C.M of two numbers are 5 and 60. How many pair of these number ?

(1) 2 (2) 1 (3) 3 (4) 4

28. The H.C.F and L.C.M of two numbers are 10 and 120. The sum of number is 70. These number is.

38


(1) 40,50 (2) 30,40 (3) 50,20 (4) 60,10

29. If the H.C.F of two numbers (each greater than 13) be 13 and L.C.M. 273 then the sum of the numbers will be

(1) 286 (2) 130 (3) 288 (4) 290

30. Two 3 digit numbers have their H.C.F 29 and L.C.M 4147. The sum of the numbers is:

(1) 666 (2) 669 (3) 696 (4) 966

31. The capacity of two pots is 120 litres and 56 litres respectively. The capacity of a container which can exactly measure contents of the two pots is:

(1) 7500 c.c (2) 7850 c.c (3) 8000 c.c (4) 9500 c.c

32. What is the greatest possible length of a scale that can be used to measure exactly the lengths 3 m, 5 m 10 cm and 12 m 90 cm?

(1) 10 cm (2) 20 cm (3) 25 cm (4) 30 cm

33. Three pieces of timber 42m, 49 m and 63 m long have to be divided into planks of the same lengths. What is the greatest possible length of each plank?

(1) 7 m (2) 14 m (3) 42 m (4) 63 m

34. Three measuring rods are 64 cm, 80 cm and 96 cm in length. The least length of cloth that can be measured exact number of times using any of rods is

(1) 0.96 m (2) 9.60 m (3) 19.20 m (4) 96 m

35. The traffic lights at three different road crossings change after every 48 seconds 72 seconds and 108 seconds. If they all change simultaneously ?

(1) 7 m 12 s (2)7 m 24 s (3) 7 m 36 s (4) 7 m 48

36. Six bells commence tolling together and toll at intervals of 2, 4,6,8,10,12 seconds respectively. In 30 minute how many times do they toll together?

(1) 4 (2) 10 (3) 15 (4) 16

37. A, B and C start at the same time in the same direction to run around a circular stadium. A completes a round 240 seconds, B in 320 seconds and C in 400 seconds, all starting at same point. After what time will they meet again at the starting point.

(1) 60 min (2) 40 min (3) 80 min (4) 50 min

38. What is the least number which when decided by 8, 9,12,15 leaves a remainder 1 in each case?

(1) 179 (2) 181 (3) 359 (4) 361

39. What is the least number which when increased by 7, is divisible by each one of 24,32,36,54?

(1) 867 (2) 857 (3) 425 (4) 431

40. What is the least multiple of 7 which when divided by each one of 6, 9,15,18 gives remainder 4 in each case?

(1) 74 (2) 94 (3) 184 (4) 364

41. What is the least number which when decided by 5,6,7,8 gives remainder 3 in each case and is completely divisible by 9?

(1) 1977 (2) 1683 (3) 2523 (4) 3363

42. The least perfect square number which is divisible by 3,4,5,6 and 8 is

(1) 900 (2) 1200 (3) 2500 (4) 3600

43. The greatest number of 5 digits which is divisible by 10,12,15,20 and 30 is

(1) 99459 (2) 99540 (3) 99960 (4) 99939

44. The greatest number of 4 digits which divisible by 7,14,21,28 is

(1) 9898 (2) 9896 (3) 9996 (4) 9986

45. What is the greatest number of 3 digits which when decided by 6,9,12 leaves a remainder 3 in each case?

(1) 936 (2) 975 (3) 999 (4) 960

46. The least number of 4 digits which divisible by 2,3,4,5,6 is

(1)1000 (2) 1020 (3) 1040 (4) 1060

47. What is the least number which when divided by 12 leaves a remainder of 7; when decided by 15 leaves a remainder of 10 and when decided by 16 leaves a remainder 11?

(1) 115 (2) 235 (3) 247 (4) 475

48. What is the least number which when decided by 20,25,35,40 leaves respectively 14,19,29,34, as a remainder?

(1) 1394 (2) 1404 (3) 1406 (4) 1664

49. an electronic device makes a beep after every 60 sec. Another device makes a beep after every 62 sec. They beeped together at 10. A.m the next time when they would beep together is.

39


(1) 10.30 a.m (2) 10.31 a.m (3) 10.59 a.m (4) 11 a.m

50. The H.C.F of 42, 63,140 is (1) 14 (2) 9 (3) 21 (4) 7

51. The H.C.F of 1134, 1344 and 1512 is (1) 24 (2) 42 (3) 44 (4) 64

52. The L.C.M of two numbers is 12 times their H.C.F. the sum of H.C.F and L.C.M is 403. If one number is 93. Then the other is

(1) 128 (2) 124 (3) 134 (4) None

53. The sum of two numbers is 45. Their difference is 1/9 of their sum. Their L.C.M is:

(1) 100 (2) 150 (3) 200 (4) 250

54. The H.C.F and L.C.M of two numbers are 21 and 4641 respectively. If one of the numbers lies between 200 and 300 then the two numbers are:

(1) 273,363 (2) 273,359 (3) 273,361 (4) 273,357

55. The sum of H.C.F and L.C.M of two numbers is 680 and the L.C.M is 84 times the H.C.F . if one of the numbers is 56, the other is

(1) 8 (2) 12 (3) 84 (4) 96

56. If two numbers are in the ratio of 2:3 and the product of their H.C.F and L.C.M is 33750 then the sum of the numbers is:

(1) 250 (2) 325 (3) 375 (4) 425

57. The sum of two numbers is 216 and their H.C.F is 27. The numbers are

(1) 54,162 ( 2 ) 108,108

(3) 27,189 (4) None

58. The H.C.F of two numbers is 12 and their difference is also 12. The numbers are:

(1) 66,78 (2) 70,82 (3) 94,106 (4) 84,96

59. What is the least number which when diminished by 5, is divisible by each one of 21,28,36,45?

(1) 425 (2) 1259 (3) 1260 (4) 1265

60. Three numbers are in the ratio 3:4:5 and their L.C.M is 2400. Their H.C.F is:

(1) 40 (2) 80 (3) 120 (4) 200

61. A bell rings every 5 minutes. A second bell rings

every 6 minutes and if the two bells ring at the same time in the morning 8 o, Clock then the nest time they will ring together at

(1) 8.30 o, clock (2) 9 o, clock (3) 10 o, clock (4) 12 o clock

answer key1. (2) 2. (4) 3. (3) 4. (2) 5. (3) 6. (4) 7. (1) 8. (3) 9. (4) 10. (3)11. (1) 12. (1) 13. (1) 14. (4) 15. (3)16. (1) 17. (2) 18. (2) 19. (4) 20. (2)21. (2) 22. (3) 23. (3) 24. (3) 25. (3)26. (4) 27. (1) 28. (2) 29. (2) 30. (3)31. (3) 32. (4) 33. (1) 34. (2) 35. (1)36. (4) 37. (3) 38. (4) 39. (2) 40. (4)41. (2) 42. (4) 43. (3) 44. (3) 45. (2)46. (2) 47. (2) 48. (1) 49. (2) 50. (4) 51. (2) 52. (2) 53. (1) 54. (4) 55. (4)56. (3) 57. (3) 58. (4) 59. (4) 60. (1)61. (1)

40


6 Percentage

1. What is 36% of 25% of 320? (1) 288 (2) 96 (3) 28.8 (4) 12.4

2. The fraction equivalent to 2/5 % is (1) 1/40 (2) 1/125 (3) 1/250 (4) 1/500

3. How is ¾ expressed as percentage? (1) 0.75% (2) 7.5% (3) 60% (4) 75%

4. How is ½% expressed as a decimal fraction? (1) 0.0005 (2) 0.005 (3) 0.05 (4) 0.5

5. What percent of 7.2 kg is 18 gms ? (1) 0.025% (2) 0.25% (3) 2.5% (4) 25%

6. A period of 4hrs 30 min is what percent of a day ?

(1) 18 ¾% (2) 20% (3) 16 2/3% (4) 19%

7. 56% of a number is less than its 72% by 56. What is 70% of that number?

(1) 325 (2) 490 (3) 245 (4) 348

8. 3/4th of a number is less than the number itself by 35. What is the number?

(1) 140 (2) 125 (3) 250 (4)70

9. 450% of a number is 4725. What is 82% of the same number.

(1) 186 (2) 841 (3) 821 (4) 861

10. 3/5th of a number is 250 more than 40% of the same number . What is the number.

(1) 450 (2) 1250 (3) 750 (4) 500

11. 68% of a group are married. What is the ratio of married and unmarried people.

(1) 17:4 (2) 17:7 (3) 17:8 (4) 34:17

12. The price of petrol is increased by 25%. By how much percent a car owner should reduce his consumption of petrol so that the expenditure on petrol would not be increased?

(1) 25% (2) 30% (3) 50% (4) 20%

13. If the price of sugar falls by 10%, by how much percent must a householder increase its consumption, so as not to decrease the expenditure on this item?

(1) 10% (2) 9 1/9% (3) 11% (4) 11 1/9%

14. When a number is first increased by 10% and then reduced by 10% the number:

(1) Does not change (2) Decreases by 1% (3) Increases by 1% (4) None of these

15. If the side of a square is increased by 25%, then its area is increased by:

(1) 25% (2) 55% (3) 40.5% (4) 56.25%

16. The length and breadth of a rectangle are increased by 30% and 20% respectively. The area of the rectangle so formed exceeds the area of the original rectangle by:

(1) 20% (2) 36% (3) 50% (4) 56%

17. If the side of a cube is increased by 10%, then its volume is increased by:

(1) 21 % (2) 33 % (3) 40.5 % (4) 33.1 %

18. If the radius of a sphere is increased by 20%, then its volume is increased by:

(1) 80 % (2) 72.8 % (3) 48.5 % (4) 33.1 %

19. If the price of a machine s reduced by 20% and the Number of machines sold is increased by 40%, What will be the effect on the revenue?

(1) 12% (2) 14% (3) 15% (4) 16.5%

20. If the numerator of a fraction is increased by 140% and the denominator is increased by 150% the resultant fraction is 4/15. What is the original fraction?

(1) 3/5 (2) 5/16 (3) 5/18 (4) 3/10

21. If the numerator of a fraction is increased by 250% and the denominator is increased by 400% the resultant fraction is 7/17. What is the original fraction?

(1) 10/17 (2) 5/9 (3) 9/5 (4) 19/7

22. In a class 65% students passed in math’s, 50% passed in English. 10% failed in both. If 40 students passed in both the subjects, What is the total number students.

(1) 160 (2) 240 (3) 360 (4) 480

LeVeL - 1

41


23. In a school, 40% of the students play football and 50% play cricket. If 18% of the students play neither football nor cricket the percentage of students playing both is

(1) 40% (2) 32% (3) 22% (4) 8%

24. In an election between two candidates one got 55% of the total votes and win by 20000 votes. The total number of voters enrolled in that election was:

(1) 400000 (2) 200000 (3) 100000 (4) 800000

25. 8% of the voters in an election did not cast their votes. In the election there were only two candidates. The winner by obtaining 48% of the total votes defeated his contestant by 1100 votes. The total nimbler of voters in election was

(1) 21000 (2) 22000 (3) 23500 (4) 27500

26. In an election between two candidates, 75% of the voters cast their votes, out of which 2% of the votes were declared invalid. A candidate got 9261 votes which were 75% of the total valid votes. Find the total number of votes enrolled in that election.

(1) 16800 (2) 17000 (3) 15000 (4) None

27. Nandkishore gave 35% of his income to his wife and 50% to his son. Now he is left with Rs 11250. What is the amount he had in the beginning.

(1) 75000 (2) 37500 (3) 62500 (4) 50000

28. Ashok gave 28% of his income to his wife. 50% of the remaining to his son and 75% of the further remainder to his daughter. He is now left with Rs 11700/-. What is the original amount that he had.

(1) 14000 (2) 130000 (3) 125000 (4) 13000

29. A man gives 20% of his money to his eldest son. 30% of the remaining he gives to is younger son. 10% of the remaining he gives he gives to a school for poor boys. Still he has Rs. 100.80 Find his total sum.

(1) Rs. 200 (2) Rs. 300 (3) Rs. 250 (4) Rs. 350

30. The population of a town is 1, 76, 400. If increases at the rate of 5% per annum, what will be its population 2 years hence? What was it 2 years age?

(1) 1600000 (2) 1700000 (3) 1800000 (4) 200000

31. The Value of a machine depreciates at the rate of 10% per annum. If it’s present value is Rs. 1, 62,000 what will be its worth after 2 years? What was the value if the machine 2 years age?

(1) 200000 (2) 300000 (3) 400000 (4) 500000

32. During one year, the population of a town increased by 5% and during the next year, the population decreased by 5% >. If the total population is 9975 at the end of the second year, then what was the population size in the beginning of the first year?

(1) 499000 (2) 399000 (3) 495000 (4) 385000

33. The value of a machine depreciates at the rate of 10% every year. It was purchased 3 years ago. If its present value is Rs. 8748, purchase price was

(1) 10000 (2) 11000 (3) 12000 (4) 14000

34. The population of a town was 125000 three years ago. If it is increased by 20 % per years then the present population is:

(1) 277000 (2) 216000 (3) 277461 (4) 17759

35. The population of a town was 160000 three years ago. If it is increased by 3%, 2.5% and 5% respectively in the last three years then the present population is:

(1) 177000 (2) 177366 (3) 177461 (4) 17759

36. A student is required 40% marks to pass. He scores 200 marks and fails by 8 marks. What is the total marks.

(1) 416 (2) 520 (3) 500 (4) 384

37. A student is required 430 marks to pass. He scores 344 marks and fails by 8%. What is the maximum possible marks a candidate can get in the examination.

(1) 975 (2) 800 (3) 1075 (4) 750

38. A student gets 40% marks and passes by 30 marks. Another student scores 30% marks and fails by 40 marks. What is the maximum marks in the examination.

(1) 600 (2) 800 (3) 700 (4) 900

39. A gets 34% marks and fails by 17 marks. B gets 27% marks and he also fails by 73 marks. Marks required to pass is?

(1) 289 (2) 300 (3) 299 (4) 255

42


40. In an examination it is required to get 36% of maximum marks to pass. A student go 113 marks and was declared failed by 85 marks. The maximum marks are:

(1) 500 (2) 550 (3) 640 (4) 1008

41. In an examination a student scored 30% marks in the paper and fail by 20 marks . Second student scored 40% marks in the paper and got 30 marks more than passing marks. The pass % is.

(1) 24% (2) 66% (3) 34% (4) 28%

42. In an examination a student scored 25% marks in the paper and fails by 15 marks . Second student scored 32% marks in the paper and got 20 marks more than passing marks. The total marks is.

(1) 600 (2) 660 (3) 500 (4) 700

43. 28% of a group are married. 40% of the people are women. 60% men are unmarried. What is the ratio of the married men and unmarried women.

(1) 1:2 (2) 3:2 (3) 6:1 (4) 2:3

44. Bina’s monthly income is 90% of the monthly income of Anita. Mr. Sen‘s monthly income is same as that of combined income of Bina & Anita. If Mr. Sen earns Rs 775200/- in a year. What is the annual income of Bina.

(1) 408000 (2) 367200 (3) 30600 (4) 34000

45. Hari’s income is 20% more than Madhu’s income. Madhu’s income is less than Hari’s income by:

(1) 15% (2) 16%

32

(3) 20% (4) 22%

answer key1. (3) 2. (3) 3. (4) 4. (2) 5. (2) 6. (1) 7. (3) 8. (1) 9. (4) 10. (2)11. (3) 12. (4) 13. (4) 14. (2) 15. (4)16. (4) 17. (4) 18. (2) 19. (1) 20. (3)21. (1) 22. (1) 23. (4) 24. (2) 25. (4)26. (1) 27. (1) 28. (2) 29. (1) 30. (1)31. (1) 32. (2) 33. (3) 34. (2) 35. (2)36. (2) 37. (3) 38. (3) 39. (1) 40. (2)41. (3) 42. (3) 43. (4) 44. (2) 45. (2)

43


Percentage LeVeL - 2

1. What is the value of three fourth of sixty percent of 480?

(1) 216 (2) 218 (3) 212 (4) 214

2. In an examination, Mandar scored 80 marks in Mathematics, 95 marks in Science,74 marks in Social Studies, 65 marks in English and 72 marks in Hindi. If all the papers were out of 100, what is Mandar’s over all percentage in the examination?

(1) 75 (2) 77.2 (3) 78.5 (4) 80

3. If the average of a number, its 75% and its 25% is 240, then the number is:

(1) 280 (2) 320 (3) 360 (4) 400

4. Two numbers are less than a third number by 30% and 37% respectively. How much percent is the second number less than first?

(1) 10% (2) 15% (3) 20% (4) 25%5. In an examination, 40% of the total examinees

passed. If the number of failures is 420, the total number of examinees is:

(1) 500 (2) 700 (3) 1000 (4) 1625

6. The ratio of the number of boys and g i r l s is 3:2. If 20% of the boys and 30% of the girls are scholarship holders, the percentage of students who do not get scholarship is:

(1) 50 (2) 72 (3) 75 (4) 76

7. Twenty-seven percent of Arun’s monthly salary is equal to Raju’s monthly salary. If Arun’s monthly salary is Rs. 25, 000, then what is Raju’s annual salary?

(1) Rs. 87,000 (2) Rs. 81,000 (3) Rs. 1,11,000 (4) Rs. 57,000

8. Last year Ajay planted 170 mango t r e e s . H e increased the number by 40% this year. How many mango treeswill he plant this years?

(1) 248 (2) 228 (3) 238 4) 328

9. The expenses on rice, fish and oil of a family are in the ratio 12:17:3, the prices of these articles are increased by 20%, 30% and 50% respectively. The total expenses of the family on these articles are increased by:

(1) 141/8% (2) 71/8% (3) 561/8% (4) 281/8%

10. In 50gm alloy of gold and silver, the gold is 80% by weight. How much gold should be mixed to this alloy so that ht weight of gold would become 95%?

(1) 200 gm (2) 150gm (3) 50gm (4)10 gm

11. 5% of income of A is equal to 15% of income of B and 10% of income of B is equal to 20%of income of C. If the income of C is Rs. 2000, what is the total income of A,B and C?

(1) 14000 (2) 16000 (3) 18000 (4) 12400

12. The price an article is reduced by 25%. In order to retain the original price the present price has to be increase by

(1) 20% (2) 25% (3) 331/3 (4) 50%

13. In two successive years, 100 and 75 students of a school appeared at the final examination. Out of them respectively 75% and 60% passed. The average rate of pass is

(1) 684/7% (2) 78% (3) 80% (4) 80½%

14. Of the 1000 inhabitants of a town, 60% are males of whom 20% are literate. If of all the inhabitants, 25% are literate then what percent of the females of the town are literate?

(1) 22.5% (2) 27.5% (3) 32.5% (4) 37.5%

15. When the price of fans was reduced by 20% and then increase by 20%. What would be the percentage change in the price?

(1) 12% decrease (2) 12% increase (3) 3% increase (4) 4% decrease

16. In an election between two candidates, 75% of the voters cast their votes, out of which 2% of the voters were declared invalid. A candidate got 9261 votes which were 75% of the total valid votes. The total number of voters enrolled in that election was:

(1) 16000 (2) 16400 (3) 16800 (4) 18000

17. A building worth Rs. 133100 is constructed n land worth Rs. 72900. After how many years will the value of both be same if land appreciates at 10% p.a. and building depreciates at 10% p.a?

44


(1) 1½ years (2) 2 years (3) 2½ years (4) 3 years

18. The length of a rectangle is increased by 60%. By what percent would the width have to be decreased to maintain the same area?

(1) 37 ½% (2) 60% (3) 75% (4) 662/3%

19. The radius of a circle is increased by 1%. The percentage increase in area is:

(1) 1% (2) 1.1 (3) 2% (4) 2.01%

20. If the side of a square is increased by 30%, then its area is increased by

(1) 9% (2) 30% (3) 60% (4) 69%

21. In measuring the side of a square an error of 5% in excess is made. The error percent in the calculated area is:

(1) 10% (2) 10.25% (3) 10.5% (4) 25%

22. The price of an article has been increase by 25%. In order to restore it to the original price the new price must be decreased by

(1) 20 (2) 11 1/9 % (3) 33 1/3 % (4)25

23. If A’s salary is 30% more than that of B, then how much percent is B’s salary less than that of A?

(1) 30% (2) 25% (3) 23 1/13% (4) 33 1/3%

24. In an examination there were 2000 candidates out of which 900 were boys and rest were girls. If 32% of the boys and 38% of the girls passed then the percentage of failures is

(1) 35.3% (2) 64.7% (3) 68.5% (4) 70%

25. A student who secures 20% marks in a test fails by 30 marks. Another student who secures 32% marks gets 42 marks more than those required to pass. Pass percentage of marks is

(1) 25% (2) 28% (3) 30% (4) 33%

26. In an examination 42% students failed in Hindi and 52% failed in English. If 17% failed in both the subjects the percentage of those who passed in both the subjects is

(1) 23% (2) 27% (3) 34% (4) 40%

27. There were 600 students in a school .Each offered either English or Hindi or both. If 75% offered English and 45% Hindi how many offered both?

(1) 48 (2) 60 (3) 80 (4) 120

28. In an election between two candidates one got 55% of the total valid votes. 20% of the votes were invalid. If the total number of votes was 7500, the number of valid votes that the other candidate got was

(1) 2700 (2) 2900 (3) 3000 (4) 3100

29. A mixture of 20 kg of spirit and water contains 10% water. How much water must be added to this mixture to raise the percentage of water to 25%

(1) 4kg (2) 5kg (3) 8kg (4) 30 kg

30. Rs. 395 are divided among A,B and C in such a manner that B gets 25% more than A and 20% more than C. The share of A is.

(1) Rs. 198 (2) Rs.120 (3) Rs. 180 (4) Rs. 195

31. The salary of a man increases by 20% every year in the month of January. His salary was Rs. 5,000 in the month of February in years 2009. What will be his salary in the month of February in the year 2011?

(1) Rs. 7,200 (2) Rs. 6,200 (3) Rs. 7,800 (4) Rs. 6,800

32. If the length and breadth of a rectangular field are increased, the area increases by 50%. If the increase in length was 20%, by what percentage was the breadth increased?

(1) 30% (2) 25% (3) 20% (4) Data inadequate

33. Surjeet Singh’s salary is 80% of Ranjeet’s salary and 120% of Latika’s salary. What is Surjeet Singh’s salary if Ranjeet’s salary is Rs. 15,000 ?

(1) Rs. 10, 000 (2) Rs. 18, 000 (3) Rs. 12,000 (4) Rs. 10,500

34. In a test, Rajesh got 112 marks which is 32 more than the passing marks. Sonal got 75% marks which is 70 more than the passing marks. What is the minimum passing percentage of the test?

(1) 35 (2) 45 (3) 40 (4) 30

35. Twenty five percent of Reena’s yearly income is equal to seventy five percent of Anubhav’s yearly income. If Anubhav’s yearly income is Rs. 2,40,000 what is Reena’s monthly income?

(1) Rs. 60,.000 (2) 12,000 (3) Rs. 5,200 (4) None of these

45


answer key1. (1) 2. (2) 3. (3) 4. (1) 5. (2) 6. (4) 7. (2) 8. (3) 9. (4) 10. (2)11. (3) 12. (3) 13. (1) 14. (3) 15. (4)16. (3) 17. (4) 18. (1) 19. (4) 20. (4)21. (2) 22. (1) 23. (3) 24. (2) 25. (1)26. (1) 27. (4) 28. (1) 29. (1) 30. (2)31. (1) 32. (2) 33. (3) 34. (3) 35. (1)

46


Percentage LeVeL - 3

1. In a club the difference between the number of males and females is 20% of the total members (both male and female). Find the ratio of the number of males to the number of females?

(1) (2) 1/2 (3) 2/3 (4) ¼

2. If salary of A is 20% more than salary of B, then the salary of B, is how much percent less than the salary of A?

(1) (2) ½ (3) 2/5 (4) ¾

3. In an examination 42% Candidates failed in Hindi and 52% failed in English. 17% failed in both the subjects. If 69 candidates passed in both the subjects, what is the total number of candidates appeared?

(1) 360 (2) 350 (3) 300 (4) 400

4. If the price of a machine s reduced by 20% and the Number of machines sold is increased by 40%, What will be the effect on the revenue?

(1) 12% (2) 13% (3) 14% (4) 11%

5. A man gives 20% of his money to his eldest son. 30% of the remaining he gives to is younger son. 10% of the remaining he gives he gives to a school for poor boys. Still he has Rs. 100.80 Find his total sum.

(1) Rs. 150 (2) Rs. 200 (3) Rs . 350 (4) Rs. 300

6. If the sales tax be reduced from 3½% to 3 % then what difference does it make to a person who purchases an article with marked price of Rs. 8400?

(1) Rs. 15 (2) Rs. 14 (3) Rs. 16 (4) Rs. 17

7. In an election between two candidates, 75% of the voters cast their votes, out of which 2% of the votes were declared invalid. A candidate got 9261 votes which were 75% of the total valid votes. Find the total number of votes enrolled in that election.

(1) 16800 (2) 17000 (3) 15500 (4) 16500

8. Mr. Jones gave 40% of the money he had, to his wife. He also gave 20% of the remaining amount to each of his three sons. Half of the amount now left was spent on miscellaneous items and the remaining amount of Rs. 12,000 was deposited in the bank. How much money did Mr. Jones have initially?

(1) 200000 (2) 250000 (3) 150000 (4) 100000

9. Paulson spends 75% of his incomes. His income is increased by 20% and he increased his expenditure by 10% Find the percentage increase in his savings.

(1) 35% (2) 45% (3) 50% (4) 40%

10. The population of a town is 1, 76, 400. If increases at the rate of 5% per annum, what will be its population 2 years hence? What was it 2 years age?

(1) 1600000 (2) 1800000 (3) 1900000 (4) None of these

11. The Value of a machine depreciates at the rate of 10% per annum. If it’s present value is Rs. 1, 62,000 what will be its worth after 2 years? What was the value if the machine 2 years age?

(1) 195000 (2) 200000 (3) 185000 (4) 220000

12. During one year, the population of a town increased by 5% and during the next year, the population decreased by 5% > If the total population is 9975 at the end of the second year, then what was the population size in the beginning of the first year?

(1) 20,000 (2) 15,000 (3) 18,000 (4) 10,000

13. Due to a reduction of 6¼% in the price of sugar, a man is able to buy 1 kg more for Rs.120. Find the original and reduced rate of sugar.

(1) Rs. 7.50 per kg. (2) Rs. 8.50 per kg. (3) Rs. 7.40 per kg. (4) Rs. 8.00 per kg.

14. What percentage of numbers from 1 to 70 have squares that end in the digit 1?

47


(1) 1 (2) 14 (3) 20 (4) 21

15. If a number x is 10% less than another number y and y is 10% more than125, then x is equal to.

(1) 123.75 (2) 140.55 (3) 143 (4) 150

16. The sum of two numbers is of the first number. The second number is what percent of the first.

(1) 12% (2) 14% (3) 16% (4) 18%

17. Two numbers A and B are such that the sum of 5% of A and 4% of B is two –third of the sum of 6% of A an d8% of B. find the ratio of A : B.

(1) 2 :3 (2) 1:1 (3) 3 :4 (4) 4: 3

18. Three candidates contested an election and received 1136, 7636 and 11628 votes respectively. What percentage of the total votes did the winning candidate get?

(1) 57% (2) 60% (3) 65% (4) 90%

19. The population of a town increased from 1,75,000 to 2,62,500 in a decade, the average percent increase of population per year is:

(1) 4.37% (2) 5% (3) 6% (4) 8.75%

20. A student multiplied a number by instead of

what is to percentage error in the calculation? (1) 34% (2) 44% (3) 54% (4) 63%

21. In a competitive examination in State A, 6% candidates got selected form the total appeared candidates. State B had an equal number of candidates appeared and 7% candidates got selected with 80 more candidates got selected than A. What was the number of candidates appeared form each state?

(1) 7600 (2) 8000 (3) 8400 (4) Data Inadequate.

22. A batsman scored 110 runs which included 3 boundaries and 6 Sixes. What percent of his total score did he make by running between the wickets?

(1) 45% (2) 45 % (3) 54 % (4) 55%

23. A person who spends 60 % of his income is able to save Rs.1200 per month. His monthly expenses

(in Rs.) are: (1) Rs. 1200 (2) Rs. 2400 (3) Rs. 3000 (4) Rs. 3200

24. A student has to obtain 33% of the total marks to pass. He got 125 marks and failed.

(1) 300 (2) 500 (3) 800 (4) 1000

25. In an election between two candidates. One got 55% of the total valid votes, 20% of the votes were invalid. If the total number of votes was 7500, the number of valid votes that the other candidate got, was:

(1) 2700 (2) 2900 (3) 3000 (4) 3100

26. 10% of the voters did not cast their vote in an election between two Candidates. 10% of the votes polled were found invalid. The successful candidate got 54% of the valid ‘votes and won by a majority of 1620 votes. The number of voters enrolled on the voters’ list was:

(1) 25000 (2) 33000 (3) 35000 (4) 40000

27. 8% of the people eligible to vote are between 18and 21 years of age. In an election, 85% of those eligible to vote, who were between 18 and 21, actually voted. In that election, the number of persons between 18 and 21, who actually voted, was what percent of those eligible to vote?

(1) 4.2 (2) 6.4 (3) 6.8 (4) 8

28. In a certain school, 20% of students are below 8 years of age. The number of students above 8 years of age is of the number of students of 8 years age which is 48. What is the total number of students in the school?

(1) 72 (2) 80 (3) 120 (4) None

29. Two students appeared at an examination. One of them secured 9 marks more that the other and his marks was 56% of the sum of their marks. The marks obtained by them are:

(1) 39, 30 (2) 41, 32 (3) 42, 33 (4) 43, 34

30. If x% of y is 100 and y% of z is 200, then find a relation between x and z.

(1) Z = (2) Z = 2x (3) Z = (4) Z = 4x

31. If x% of y is equal to z, what percent of Z is x?

48


(1) (2) (3) (4)

32. A spider climbed of the height of the pole in one hour and in the next hour it covered % of the remaining height. If the height of the pole is 192 m, then distance climbed in second hour is:

(1) 3 m (2) 5 m (3) 7 m (4) 9 m

33. from the salary of an officer, 10% is deducted as house rent, 20% of the rest, he spends on conveyance, 20% of the rest he pays as income tax and 10% of the balance, he spends on clothes. Then, he is left with Rs. 15,552 Find his total salary.

(1) Rs. 25, 000 (2) Rs. 30,000 (3) Rs. 35,000 (4) Rs. 40,000

34. Aman gave 40% of the amount he had to Rohan. Rohan in turn gave one fourth of what he received from Aman to Sahil. After paying Ra. 200 to the taxi driver out of the did Aman Have?

(1) Rs. 4000 (2) Rs. 8000 (3) Rs.12. 000 (4) Data inadequate

35. Sameer spends 24% of his monthly income on food and 15% on entertainment and 20% on conveyance. He is now left with Rs. 10,736. What is the monthly salary of Sammer?

(1) Rs. 27,000 (2) Rs. 28,000 (3) Rs. 31,200 (4) Rs. 32.00

36. 405 sweets were distributed equally among children in such a way that the number of sweets received by each child is 20% of the total number of children. How many sweets did each child receive?

(1) 9 (2) 15 (3) 18 (4) 45

37. The sum of the number of boys and girls in a school is 150. If the number of boys is x, then the number of girls becomes x% of the total, number of students. The number of boys is:

(1) 40 (2) 50 (3) 60 (4) 90

38. A salesman is allowed % discount on the total sales made by him plus a bonus of % on the sales over Rs. 10,000 If his total earnings were Rs. 1990, then his total sales (in Rs.) were:

(1) 30,000 (2) 32,000 (3) 34, 000 (4) 35,000

39. In an examination, there are three papers and a

candidate has to get 35% of the total to pass. In one paper, he gets 62 out of 150 and in the second 35 out of 150. How much must he get, out of 180, in the third paper to just qualify for a pass?

(1) 60.5 (2) 68 (3) 70 (4) 71

40. A scored 30% marks and failed by 15 marks. B scored 40% marks and obtained 35 marks more than those required to pass .The pass percentage is

(1) 33% (2) 38% (3) 43% (4) 46%

41. In a recent survey, 40% houses contained two or more people. Of those houses containing only one person, 25% were having only a male. What is the percentage of all houses, which contain exactly one female and no male?

(1) 15 (2) 40 (3) 75 (4) None

42. Of the 1000 inhabitants of a town, 60% are males of whom20% are literate. If, of all the inhabitants, 25% are literate, then what percent of the females of the town are literate?

(1) 22.5 (2) 27.5 (3) 32.5 (4) 37.5

43. The price of an article was increased by r%. Later the new price was decreased by r% If the latest price was Rs. 1, then the original price was:

(1) Re. 1 (2) Rs.

(3) Rs. (4) Rs.

44. Peter could Save 10% of his income. But two years later when his income is increased by 20% He could save the same amount only as before, By how much percent has his expenditure increased.

(1) 22% (2) 22 % (3) 23 % (4) 24%

45. The price of wheat falls by 16% By what percentage a person can increase the consumption of wheat so that his overall budget does not change?

(1) 16% (2) 1:4 (3) 1:5 (4) 1:6

46. The population of a variety of tiny bush in as experimental field increased by 10% in the first years increased by 8% in the second year but decreased by 10% in the third year. If the present number of bushes in the experimental field is

49


26730, then the number of bushes in the beginning was:

(1) 25000 (2) 27000 (3) 28000 (4) 24600

47. The production of a company has ups and downs every year, The production increases for two consecutive years consistently by 15% and in the third year it decreases by 10% Again in the next two years it increases by 15% each year and decreases by 10% in the third year. If we start counting form the year 1998 approximately what will be the effect on production of the company in 2002?

(1) 27% increase (2) 32% increase (3) 37 % increase (4) 42% increase (e) 52% increase

48. Amit’s monthly income is 30 % more than that of Raunaq, Raunaq’s monthly income is 20% less than that of Deepak. If the difference between the monthly incomes of Amit and Deepak is Rs. 800, what is the monthly income of Raunaq?

(1) Rs. 12,000 (2) Rs. 16,000 (3) Rs. 20, 000 (4) data inadequate (e) none of these

49. Fresh fruit contains 68% water and dry fruit contains 20% water. How much dry fruit can be obtained from 100kg of fresh fruits?

(1) 32 kg (2) 40 kg (3) 52 kg (4) 80 kg

50. A large watermelon weights 20 kg with 96% of its weight being water. It is allowed to stand in the sun and some of the water evaporates so that only 95% of its weight is water. Its reduced weight will be:

(1) 16 kg (2) 16.5 kg (3) 17 kg (4) 18 kg

51. A bag contains 600 coins of 25 p denomination and 1200 coins of 50 p denomination If 12% of 25 p coins and 24% of 50 p coins are removed, the percentage of money removed from the bag is nearly:

(1) 15.6% (2) 17.8% (3) 21.6% (4) 30%

52. The price of rice is reduced by 3% how many kilograms of rice can now be bought for the money which was sufficient to buy 49kg of rice earlier?

(1) 48 kg (2) 49 kg (3) 50 kg (4) 51 kg

53. A reduction of 21% in the price of wheat enables

a person to buy 10.5 kg more for Rs. 100 what is the reduced price per kg?

(1) Rs. 2 (2) Rs. 2.25 (3) Rs. 2.30 (4) Rs. 2.50

54. Due to an increase of 30% in the price of eggs, 2 eggs less are available for Rs. 7.80. The present rate of eggs per dozen is:

(1) Rs. 8.64 (2) Rs. 8.88 (3) Rs. 9.36. (4) Rs. 4.50

answer key1. (1) 2. (1) 3. (3) 4. (1) 5. (2)6. (2) 7. (1) 8. (4) 9. (3) 10. (1)11. (2) 12. (4) 13. (1) 14. (3) 15. (1)16. (1) 17. (4) 18. (1) 19. (2) 20. (2)21. (2) 22. (2) 23. (2) 24. (2) 25. (1)26. (1) 27. (3) 28. (4) 29. (3) 30. (2)31. (4) 32. (4) 33. (2) 34. (2) 35. (4)36. (1) 37. (3) 38. (3) 39. (4) 40. (1)41. (4) 42. (3) 43. (4) 44. (2) 45. (4)46. (1) 47. (3) 48. (2) 49. (2) 50. (1)51. (3) 52. (3) 53. (1) 54. (3)

50


7 Profit And Loss

1. A shopkeeper sells a commodity at `1470 and

earns 16 % profit. Find the cost price of that commodity?

(1) ` 1260 (2) `1165 (3) `1254 (4) `1261

2. When an object is sold at `770, the loss is 12½% Find the cost price of the object?

(1) `880 (2) `2,450 (3) `2, 550 (4) `3,315

3. Mohan purchased an article and sold it for `2817.50 and earned 15 percent profit on the cost price. What was the cost price of the article?

(1) ` 2, 500 (2) ` 2, 450 (3) ` 2, 550 (4) ` 2, 3015

4. The owner of al cell phone shop charges his customer 23% more than the cost price. If a customer paid `7, 011 for a cell phone, then what was the cost price of the cell phone?

(1) ` 5, 845 (2) ` 6, 750 (3) ` 5,900 (4) None of these

5. A man buys a toy for ̀ 25 and sells it for ̀ 30. Find his gain per cent.

(1) 20% (2) 25% (3) 10% (4) 30%

6. An article was sold for an amount of Rs 1020/-. If it was bought for Rs 1200/- then find the loss % incurred in the deal?

(1) 30% (2) 10% (3) 15% (4) 20%

7. A man buys an article for ` 700/- and sells it at gain of 30%. Find the selling price of the article?

(1) ` 800 (2) ` 910 (3) ` 590 (4) ` 600

8. By selling a chair for Rs. 572, a man gains 30%. The cost price of the chair is:

(1) 340 (2) 400 (3) 440 (4) None

9. Tina sold an item for Rs. 1,500/- at a profit of 25%. At what cost will she have to sell it to get a profit of 45% ?

(1) Rs. 1740/- (2) Rs. 1,704/- (3) Rs. 1,750/- (4) Rs. 1,760/-

LeVeL - 1

10. If man were to sell his chair for 720, he would loss 25%. To gain 25% he should sell it for:

(1) 1200 (2) 1000 (3) 960 (4) 900

11. On selling an article for 48, one loses 20%. In order to gain 20%, what would be selling price.

(1) 52 (2) 56 (3) 68 (4) 72

12. Kiran sold an item for ` 8,160/- and incurred a loss of 15%. At what price should she have sold the item to have gained a profit of 25% ?

(1) ` 12,200/- (2) `12,300/- (3) ` 13,000/- (4) Cannot be determined

13. Total cost of 2 PCs and 3 TV sets is Rs.90,000/- What is the total cost of 6 PCs and 9 TV sets ?

(1) ` 2,40,000/- (2) `3,30,000/- (3) ` 2,75,000/- (4) Cannot be determined

14. The cost of 9 units of white paper and 12 units of brown paper is ` 318/-. What will be cost of 27 units of white paper and 36 units of brown paper?

(1) ` 944/- (2) ` 956/- (3) ` 959/- (4) ` 9491 (5) None of these

15. The cost of 4 bags and 12 purses is ̀ 1,520/- what is the cost of 10 bags and 30 purses ?

(1) ` 3,6001/- (2) ` 3,500/- (3) ` 4,000/- (4) ` 3,900/-

16. The ratio of cost price and selling for an article is 8: 9. The profit percent is

(1) 20 (2) 15 (3) 12.5 (4)10

17. A man buys pencils at the rate of 6 for ` 5 and sells them at 5 for ` 6 His profit percent is.

(1) 30 (2) 35 (3) 40 (4) 44

18. By selling 144 hens Mahesh suffered a loss equal to the selling price of 6 hens. His loss percent is

(1) 4 (2) 3 (3) 9 (4) 4½ %

19. The cost of 10 pens is equal to selling price of 12 pens. What is the profit or loss % incurred ?

(1) 25% (2) 20% (3) 16.67% (4) 15%

20. The cost price of 20 articles is same as selling price

51


of 16 articles. Find the % profit or loss. (1) 25% (2) 20% (3) 16.67% (4) 15%

21. Selling price of 44 m Cloth = cost price of 55 m Cloth. Gain percent is.

(1) 20% (2) 25% (3) 33 31

% (4) 10 %

22. By selling 36 oranges a vendor loses the selling price of 4 oranges. His loss percent is:

(1) 12 ½% (2) 11 91

% (3) 10% (4) None

23. By selling 100 pencils a shopkeeper gains the selling price of 20 pencils. His gain percent is:

(1) 25% (2) 20% (3) 15% (4) 12%

24. By selling 33m of cloth Ramesh gained the cost price of 11m. The gain percent is:

(1) 10% (2) 20% (3) 25% (4) 33 31

%

25. Ravi buys some toffees at 2 for a rupee and sells them at 5 for a rupee. His loss percent is:

(1) 120% (2) 90% (3) 30% (4) 60%

26. A fruit seller buys lemons at 2 for a rupee and sells them at 5 for 3 rupees. His gain percent is:

(1) 10% (2) 15% (3) 20% (4) 25%

27. Oranges are bought at 5 for Rs. 10 and sold at 6 for Rs. 15. His gain percent is:

(1) 50% (2) 40% (3) 35% (4) 25%

28. If a man purchases 11 oranges for Rs 10 and sells 10 oranges for Rs 11. How much profit or loss does he make?

(1) Profit 21% (2) Profit 22% (3) Loss 21% (4) None of these

29. A man purchases 8 pens for Rs. 9 and sells 9 pens for Rs. 8. How much profit or loss does he make ?

(1) % (2) % (3) % (4) %

30. A man purchases a certain number of toffees at 25 a rupee and the same number at 20 a rupee. He mixes them together and sells them at 45 for 2 rupees. What does he gain or lose percent in the transaction?

(1) 1% Loss (2) 1% Profit

(3) no profit no loss (4) 81191

31. A vendor bought toffees at 6 for a rupee. How many for a rupee must he sell to gain 20%?

(1) 3 (2) 4 (3) 5 (4) None

32. A vender sells toffees at 24 for a rupee losing 20%. How many for a rupee he must sell to gain 20% ?

(1) 20 (2) 16 (3) 15 (4) 18

33. A person buys 25 pens in a certain amount. How many should he sell in the same price to gain 25%.

(1) 30 (2) 25 (3) 20 (4) 18

34. The profit earned after selling an article for Rs. 625 is the same as loss incurred after selling the article for Rs. 435. The cost price of the article is:

(1) Rs. 520 (2) Rs. 530 (3) Rs. 540 (4) Rs. 550

35. On selling an article at 1060, the gain is 20% more than the loss incurred on selling it at 950. In order to gain 20%, the selling price will be:

(1) Rs. 1200 (2) Rs. 1080 (3) Rs. 1800 (4) None

36. The loss percent incurred when an object is sold at ` 436 is equal to the profit percent which is gained if the object is sold at ‘ 464 find the cost price of that object?

(1) 460 (2) 389 (3) 450 (4) 400

37. A shopkeeper sells an article for ` 78 and earns double the profit that he would have earned had he sold it for ` 69. What is its cost price?

(1) 60 (2) 55 (3) 61 (4) 61.5 (5) None of these

38. By selling an object for ` 900 a man earns double the profit of what he would have lost had he sold it for ` 450. If he sells it at a profit of 20% find his selling price.

(1) 620 (2) 618 (3) 550 (4) 720

39. Sumit purchased an item for Rs 6,500/- and sold it at the gain of 24%. From that amount he purchased another item and sold it at the loss of 20%. What is his overall gain/loss ?

(1) Loss of Rs. 42/- (2) Gain of Rs. 42/- (3) Loss of Rs. 52/- (4) Neither gain nor loss

40. Milka purchased an item for Rs.7,200/- and sold it at the gain of 25%. From that amount he purchased another item and sold it at the loss of

52


25%: What is his overall gain/loss? (1) Loss of Rs. 540/- (2) Gain of Rs. 420/-

(3) Loss of Rs. 450/- (4) Neither gain nor loss41. A sold a watch to B at 20% gain and B sold it to

C at a loss of 10%. If C bought the watch for Rs. 216, at what price did A purchase it?

(1) Rs. 200 (2) Rs. 216 (3) Rs. 250 (4) Rs. 176

42. A sells a bicycle to B at a profit of 30% and B sells it to C at a loss of 20%. If C pays Rs 520 for it, at what price did A buy ?

(1) 550 (2) 600 (3) 500 (4)

43. If the manufacturer gains 10%, the wholesale dealer 15% and the retailer 25%, then the cost of production of an article, whose retail price is Rs. 1265, is:

(1) 632.50 (2) 800 (3) 814 (4) 8344. A sells a good to ‘B’ at a profit of 20% and B sells

it to C at a profit of 25%. If c pays Rs. 225 for it, what was the cost price for A.

(1) Rs. 150 (2) Rs. 250 (3) Rs. 175 (4) Rs. 18545. A person bought two watches for Rs 480. He sold

one at a loss of 15% and the other at a gain of 19% and he found that each watch was sold at the same price. Find the cost prices of the two watches.

(1) 320,160 (2) 280,200 (3) 300,180 (4) 200, 28046. A house and a shop were sold for ` 1 lakh each

In this transaction the house sale resulted into 20% loss whereas the shop sale resulted into 20% profit. The entire transaction resulted in.

(1) No loss no gain (2) Gain of ` 1/24 lakh (3) Loss of ` 1/12 lakh (4) Loss of ` 1/18 lakh (5) None of these

47. The total cost price of two watches is Rs. 840. One is sold at a profit of 16% and the other at a loss of 12%. There is no loss or gain in the whole transaction. The cost price of the watch on which the shopkeeper gains is:

(1) Rs. 360 (2) Rs. 370 (3) Rs. 380 (4) Rs. 390

48. A dishonest milkman sells milk at cost price but

he mixes water and earns 16 % profit. Find the ratio of mixture and milk in the mixture?

(1) 7:6 (2) 7: 7 (3) 8:5 (4) 7:5

49. A dishonest sweet seller sells sweets at 10% profit but sells 800 gms instead of1kg. Find his profit percent?

(1) 55½% (2) 37½% (3) 49% (4) 50% (5) None of these50. A dishonest fruit seller sells fruits at 5% loss. If he

uses 850 gm weight in place of 1 kg weight then what is his profit percent?

(1) % (2) % (3) 11.5% (4) 12% (5) None of these

51. A dishonest shopkeeper sells his goods at cost price. If he uses a faulty scale He earns 25% profit. Find out what weight does he use in place of 1 kg weight.

(1) 800 (2) 889 (3) 881 (4) 772 (5) None of these

52. A dishonest dealer professes to sell his goods at cost price. But he uses a weight of 950 gm for one kg weight. Find his gain percent.

(1) 6 % (2) 5 % (3) 7 (4) 8

53. A dealer professing to sell his goods at cost price uses 900 gm weight for 1kg. His gain percent is:

(1) 9% (2) 10% (3) 11% (4) 11 91

%54. A seller uses 840 gm in place of one kg to sell his

goods. Find his actual % profit or loss when he sells his article on 4% loss on cost price.

(1) 12.5% (2) 16.67% (3) 14.28% (4) 16.5%

55. A dishonest shopkeeper pretends to sell his goods at cost price but uses false weight and gains 25%. For a weight of 1 kg he uses:

(1) A weight of 875 gm (2) A weight of 900gm (3) A weight of 950 gm (4) A weight

of 800 gm

56. A shopkeeper sells a pair of sunglasses at a profit of 25%. If he had bought it at 25% less and sold it for Rs. 10 less then he would have gained 40%. The cost price of the pair of sunglasses is:

(1) Rs. 25 (2) Rs. 50 (3) Rs. 60 (4) Rs. 75

57. A bookseller sells a book at a gain of 10%. If he had bought it at 4% less and sold it at Rs. 6 more, he would have gained 18 ¾%. The cost price of book is:

53


(1) Rs. 130 (2) Rs. 140 (3) Rs. 150 (4) Rs. 16058. A merchant has 1000 kg of sugar, part of which he

sells at 8% profit and rest at 18% profit. He gains 14% on whole. The quantity sold at 18% profit is:

(1) 560 kg (2) 600 kg (3) 400 kg (4) 640 kg59. The total cost price of two watches is Rs. 840.

One is sold at a profit of 16% and the other at a loss of 12%. There is no loss or gain in the whole transaction. The cost price of the watch on which the shopkeeper gains is:

(1) Rs. 360 (2) Rs. 370 (3) Rs. 380 (4) Rs. 39060. Due to 20% fall in the rate of milk one can buy 5

liters milk more than before by investing Rs 500. What was the new rate per liter?

(1) 25 (2) 20 (3) 30 (4) 1561. Due to 25% fall in the rate of eggs one can buy 2

dozen eggs more than before by investing Rs. 162. What was the original rate per dozen?

(1) Rs. 22 (2) Rs. 24 (3) Rs. 27 (4) Rs. 30

62. If goods be purchased for Rs 840, and one-fourth be sold at a loss of 20%, at what gain per cent should the remainder be sold so as to gain 20% on the whole transaction?

(1) 20% (2) 25% (3) 33 31

% (4) 50%63. 1/3 of a commodity is sold at 15% profit, 1/4 is

sold at 20% profit and the rest at 24% profit. If a total profit of Rs 62 is earned, then find the value of the commodity.

(1) 1240 (2) 620 (3) 600 (4) 31064. What profit per cent is made by selling an article

at a certain price, if by selling at 2/3 of that price there would be a loss of 20%?

(1) 20% (2) 10% (3) 15% (4) 25%65. A man purchases 5 horses and 10 cows for Rs.

10,000. He sells the horses at 15% profit and cows at 10% loss. Thus he gets Rs. 375 as profit, Find the cost of I horse and 1 cow separately.

(1) Horse = Rs.1100 Cow = Rs. 450 ( 2 ) Horse = Rs.1200 Cow = Rs. 550

(3) Horse = Rs.1100 Cow = Rs. 650 (4) Horse = Rs.1300 Cow = Rs. 750

66. Successive discounts of 10% and 20% are equivalent to a single discount of:

(1) 15% (2) 28% (3) 30% (4) None 67. A single discount equivalent to successive

discounts of 30%, 20% and 10% is: (1) 50% (2) 51% (3) 49.4% (4) 49.6%68. A company offers three types of successive

discounts. 1st: 25% and 15%; 2nd: 30% and 10%; 3rd: 35% and 5%. Which offer is better for a customer?

(1) 1s (2) 2nd

(3) 3rd (4) All are equal69. A dealer offers a discount of 10% on the marked

price of an article and still makes a profit of 20%. If its Marked price is Rs. 800, and then the cost price is?

(1) Rs. 600 (2)Rs. 700 (3) Rs. 800 (4)Rs. 90070. A sofa set carrying a sale price ticket of 5000 is

sold at a discount of 4% thereby gaining 20%. The retailer’s cost price of sofa set is:

(1) Rs. 3600 (2) Rs. 3800 (3) Rs. 4000 (4) Rs. 420071. A dealer offers a discount of 10% on the marked

price of an article and still makes a profit of 8%. What percent more is the marked price from cost price?

(1) 20% (2) 30% (3) 18% (4) 25%72. A pen is listed for Rs. 12 A discount of 15% is given

on it. A second discount is given brining the price down to Rs. 8.16. The rate of second discount is

(1) 15% (2) 18% (3) 20% (4) 25%

answer key1. (1) 2. (1) 3. (2) 4. (3) 5. (2) 6. (3) 7. (1) 8. (1) 9. (4) 10. (5) 11. (4) 12. (2) 13. (1) 14. (5) 15. (5)16. (5) 17. (4) 18. (5) 19. (3) 20. (1) 21. (2) 22. (2) 23. (2) 24. (4) 25. (4) 26. (3) 27. (4) 28. (1) 29. (3) 30. (4)31. (3) 32. (2) 33. (3) 34. (4) 35. (2) 36. (3) 37. (1) 38. (4) 39. (1) 40. (1) 41. (2) 42. (2) 43. (4) 44. (3) 45. (2)46. (3) 47. (1) 48. (1) 49. (2) 50. (1)51. (1) 52. (2) 53. (4) 54. (3) 55. (4)56. (2) 57. (3) 58. (2) 59. (1) 60. (2) 61. (3) 62. (3) 63. (4) 64. (1) 65. (1)66. (2) 67. (3) 68. (1) 69. (1) 70. (3)71. (1) 72. (3)

54


Profit And Loss LeVeL -2

1. The selling price of an article is 4/3 times its cost price. The gain percent is:

(1) 20%

31

(2) 20 ½% (3) 25 ¼% (4) 33%

31

2. If an article is sold at a gain of 5% instead of being sold at a loss of 5%, one gets Rs. 5 more. What is the cost price of the article?

(1) Rs. 100 (2) Rs. 105 (3) Rs. 110 4 .Rs. 50

3. By selling a tape-recorder for Rs. 950, I lose 5%. What percent shall I gain by selling it for Rs. 1040?

(1) 4% (2) 4.5% (3) 5% (4) 9%

4. A dishonest shopkeeper pretends to sell his goods at cost price but uses false weight and gains 11

%91

. For a weight of 1kg he uses: (1) a weight of 875 gm (2) A weight of 900gm (3) A weight of 950 gm (4) None of these

5. A dishonest dealer sells goods at 6¼% loss on cost price but uses 14 gms instead of 16 gms. What is his percentage profit or loss?

(1) %

717

(2) 4.5% (3) 5% (4) 9%6. A machine was sold at a gain of 10% had it been

sold at Rs. 80 less, the seller would have lost 10%. What is the cost price of the machine?

(1) Rs. 350 (2) Rs. 400 (3) Rs. 450 (4) Rs. 520

7. Nita blends two varieties of tea – one costing Rs. 180 per kg and another costing Rs. 200 pe kg in the ration 5:3, if she sells the blended variety at Rs. 210 per kg, then her gain is:

(1) 10% (2) 11% (3) 12% (4) 13%

8. By using a false weight a dealer defrauds his customers by 5% in purchasing and by 5% in selling. His gain percent is:

(1) 10% (2) 2.5% (3) 10.25% (4) 11 1910

%

9. Mr. Ajay bought a car at 15% discount on original cost. He then sold it with 20% profit on its purchase price. What percentage profit did he make on the original price?

(1) 2% (2) 5% (3) 12% (4) 17%

10. Two-thirds of a consignment was sold at a profit of 6% and the rest at a loss of 3%. If there was an overall profit of Rs. 540, the value of the consignment was:

(1) 15000 (2) 16000 (3) 18000 ( 4 ) None

11. The ratio of cost price and selling price of an article is 20:21. What is profit percent on it?

(1) 5% (2) 5.5% (3) 6% (4) 6.25%

12. If a watch is sold at Rs. 60, there is a loss of 15%. For a profit of 2% the watch is to be sold at:

(1) Rs. 70 (2)Rs. 72 (3)Rs. 75 (4) Rs. 85

13. A man sells tea at 10% profit and uses a weight which is 20% less than the actual measure. His gain percent is:

(1) 30% (2) 35% (3) 37 ½% (4) None

14. A dealer buys an article marked at Rs. 25000 with 20% and 5% off. He spends Rs. 1000 on its repairs and sells it for Rs. 25000. What is his gain or loss percent?

(1) Loss of 25% (2) Gain of 25% (3) Gain of 10% (4) Loss of 10%

15. Ajay purchased a T.V. set at 20% discount. If he gets a discount of 25%, he saves Rs. 1800. for how much does he purchase the T.V set?

(1) 33000 (2) 31200 (3) 28800 (4) 27000

16. A shopkeeper offers his customers 10% discount and still makes a profit of 26%. What is actual cost of an article for him marked 280?

(1) Rs. 175 (2) Rs. 200 (3) Rs. 215 (4) Rs. 225

17. A seller allows a discount of 5% on a watch. If he allows a discount of 7%, he earns Rs. 15 less in the profit. What is the marked price?

(1) Rs. 697.5 (2) Rs. 712.5 (3) Rs. 750 (4) Rs. 817.5

18. The marked price of an electric irom is Rs. 690. The shopkeeper allows a discount of 10% and gains

55


8%. If no discount is allowed his gain percent would be:

(1) 20% (2) 24% (3) 25% (4) 28%

19. A trader marks his goods at such a price that he can deduct 15% for cash and yet make 20% profit. The marked price of an item which cost him Rs. 85,

(1) 95 (2) 105 (3) 120 (4) 135

20. A shopkeeper earns a profit of 12% on selling a book at 10% discount on the printed price. The ratio of the cost price and the printed price is:

(1) 45: 56 (2) 50:61 (3) 99:125 (4) None

21. A shopkeeper gives two successive discounts on an article marked Rs. 450. The first discount given is 10%. If the customer pays Rs. 344.25 for the article, the second discount given is:

(1) 10% (2) 12% (3) 14% (4) 15%

22. A fan is listed at Rs. 1500 and a discount of 20% is offered on the cost price. What additional discount must be offered to the customer to bring the net price to Rs. 1104?

(1) 8% (2) 10% (3) 12% (4) 15%

23. A dealer offers a discount of 20% on the marked price of an article and still makes a profit of 10%. If its cost price is Rs. 800, and then the mark price.

(1) 1000 (2) 1200 (3) 1100 (4) 1500

24. On a Rs. 10000 payment order a person has choice between three successive discounts of 10%, 10% and 30% and three successive discounts of 40% , 5% and 5%. By choosing the better one he can save:

(1) Rs. 200 (2) Rs. 255 (3) Rs. 400 (4) Rs. 433

25. The marked price of an article is 10% more than cost price and a discount of 10% is given on market price. In this kind of sale seller:

(1) bears no loss and no gain (2) Gains 1% (3) Loses 1% (4) None

26. A fan is listed at 1500, with a discount of 20%. What additional discount must be offered to the customer to bring the net price to 1080 ?

(1) 8% (2) 10% (3) 11 % (4) 15%

27. On allowing a discount of 10% on an article, the

shopkeeper gains 20%. If a discount of 20% is allowed on it. What will be the gain percent?

(1) 6%

32

(2) 7 ¼% (3) 12 ½%

(4) 13%

31

28. An item is marked for Rs. 240 for sale. If two successive discounts of 10% and 5% are allowed on the sale price then the selling price of the article is:

(1) 34.80 (2) 36 (3) 204 (4) 205.20

29. The difference between a discount of 35% and two successive discounts of 20% and 20% on a certain bill was Rs. 22. The amount of bill is:

(1) Rs. 200 (2) Rs. 1100 (3) Rs. 2200 (4) none

30. A trader wishes to gain 20% after allowing 10% discount on the marked price to his customers. At what percent higher than the cost price must he mark his goods?

(1) 30% (2) 33%

31

(3) 34%

32

(4) 35%

31. A dry-fruit seller mixes three varieties of walnuts costing Rs. 50, Rs. 20 and Rs. 30 per kg in the ratio 2:4:3 in Terms of weight and sells the mixture at Rs. 33 per kg. What percentage of profit does he make?

(1) 8% (2) 9% (3) 10% (4) None

32. Pure ghee costs Rs. 100 per kg. After aulterating it with vegetable oil costing Rs. 50 per kg, a shopkeeper sells the mixture at Rs. 96 per kg, thereby making a profit of 20%. In what ratio does he mix the two?

(1) 1:2 (2) 3:2 (3) 3:1 (4) None

33. A reduction of 20% in the price of sugar enables a purchaser to obtain 3kg more for Rs. 120. The original price of sugar per kg is

(1) Rs. 15 (2) Rs. 12 (3) Rs. 10 (4) Rs. 8

34. A reduction of 20% in the price of rice enables a person to buy 3.5 kg more rice for Rs. 385. The original price of rice is:

(1) 20 (2) 22.50 (3) 25 (4) 27.50

56


35. A person sells an article at a profit of 10%. If he had bought it at 10% less and sold it for 3 more, he would have gained 25%. Find the cost price.

(1) 150 (2) 120 (3) 180 (4) 90

36. A person bought an article and sold it at a loss of 10%. It he had bought it for 20% less and sold it for Rs. 55 more he would have had a profit of 40%. Find the cost price of the article.

(1) Rs. 260 (2) Rs. 250 (3) Rs. 270 (4) Rs. 240

37. A man buys an article and sells it at a profit of 20%. If he bought it at 20% less and sold it for Rs 75 less, he would have gained 25%. What is the cost price ?

(1) Rs. 424 (2) Rs 380 (3) Rs. 360 (4) Rs. 374

38. Two-thirds of a consignment was sold at a profit of 6% and the rest at a loss of 3%. If there was an overall profit of Rs 540, find the value of the consignment.

(1) Rs. 18000 (2) Rs. 24000 (3) Rs 12000 (4) Rs 20000

39. What will be % profit after selling an article at a certain price if there is a loss of 45% when the article is sold at 1/3 of previous selling price?

(1) 55% (2) 135% (3) 65% (4) 10%

40. There would be 10% loss if rice is sold at Rs 5.40 per kg. At what price per kg should it be sold to earn a profit of 20% ?

(1) Rs 8 (2) Rs. 7.20 (3) Rs 6.30 (4) Rs 7.50

41. A man bought a certain quantity of rice at the rate of Rs 150 per quintal. 10% of the rice was spoiled. At what price should he sell the remaining to gain 20% of his outlay?

(1) Rs 177 (2) Rs 175 (3) Rs. 200 (4) Rs. 180

42. Rakesh calculates his profit percentage on the selling price whereas Ramesh calculates his on the cost price. They find that the difference of their profit is Rs 100. If the selling price of both of them are the same and both of them get 25% profit, find their selling price.

(1) Rs. 2000 (2) Rs 1600

(3) Rs 1200 (4) Rs. 2500

43. A dishonest dealer claims to sell his goods at the cost price but uses a false weight of 900 gm for 1kg. What is his gain percent?

(1) 13% (2) 11%

91

(3) 11.25% (4) 91

12%

answer key1. (4) 2. (4) 3. (1) 4. (2) 5. (1)6. (2) 7. (3) 8. (4) 9. (1) 10. (3)11. (1) 12. (2) 13. (3) 14. (2) 15. (4)16. (2) 17. (3) 18. (1) 19. (3) 20. (1) 21. (4) 22. (1) 23. (3) 24. (2) 25. (3)26. (1) 27. (1) 28. (4) 29. (3) 30. (2)

57


Profit And Loss LeVeL -3

1. By what percent the consumption of tea be decreased so that the expenditure does not increase if the price of tea increases by 20%?

(1) 16% (2) 17% (3) 16.66% (4) 17%

2. A shopkeeper earns 20% profit on selling price, What is his profit percent on cost price?

(1) 21% (2) 25% (3) 23% (4) 30% (5) None of these

3. The price of tea increased by 20% and hence the expenditure of a family increase by 10%. Find out by what percent that expenditure has been decreased?

(1) 8 % (2) 6 % (3) 8.5% (4) 9% (5) None of these

4. A Appil merchant finds that the cost price of 2750 Appil is the same as the selling price of 2500 Appil. The loss or gain percent is

(1) 5% loss (2) 15% loss (3) 20% gain (4) 10% loss

5. The loss percent incurred when an object is sold at ` 750 is equal to the profit percent which is gained if the object is sold at ` 450 find the cost price of that object?

(1) 460 (2) 389 (3) 450 (4) 600

6. A shopkeeper sells an article for ` 78 and earns double the profit that he would have earned had he sold it for ` 69. What is its cost price?

(1) 60 (2) 55 (3) 61 (4) 61.5

7. By selling an object for ` 900 a man earns double the profit of what he would have lost had he sold it for ` 450. If he sells it at a profit of 20% find his selling price.

(1) 620 (2) 618 (3) 550 (4) 720

8. A Computer was purchased for Rs 4,860. At what price should it be sold so that 25% profit is earned?

(1) ` 6,225 (2) ` 6,275 (3) ` 6, 075 (4) ` 6,025

9. A man buys pencils at the rate of 6 for ` 5 and sells them at 5 for ` 6 His profit percent is.

(1) 30 (2) 35 (3) 40 (4) 44

10. By selling 144 cow, Parkash suffered a loss equal to the selling price of 6 cows. His loss percent is

(1) 4% (2) 3% (3) 9% (4) 5%

11. Some toffees were bought at rate of 11 for ̀ 10 and same number at the rate of 9 for ` 10 if the whole lot was sold at one rupee per toffee then gain or loss in the whole transaction was

(1) Loss of 1% (2) gain of 1% (3) neither gain nor loss (4) gain of 1.5%

12. A man buys lemons at the rate of 11 of ` 10 and sells them at. 10 for ` 11 w hat is his profit or loss percent?

(1) 21% (2)22% (3)24% (4)18%

13. A shopkeeper buys some lemons at the rate of 2 for ̀ 1 and some more lemons at 1 for ̀ 2, he sells them at 3 for ` 3, What is his gain or loss percent in this?

(1) 22% (2) 20% (3) 14% (d)19%

14. A man buys 12 articles for Rs. 12 and sells them at the rate of Rs. 1.25 per article. His gain percentage is

(1) 20 (2) 25 (3) 5 (4) 18

15. The selling price of 12 objects is equal to the cost price of 9 objects. Find the loss or profit percentage?

(1) 28% (2) 25% (3) 23% (4) 31%

16. If a man estimates his loss as 20% of the selling price, then his lose percent is

(1) 20% (2) 25% (3) 30% (4) %

17. A merchant finds his profit as 20% of the selling price. His actual profit is

(1) 20% (2) 22% (3) 25% (4) 3 0%

18. By selling an article for ` 240 a man incurs a loss of 10% at what price should he sell it so that he makes a profit of 20%?

(1) ` 264 (2) ` 288 (3) ` 300 (4) ` 320

58


19. By selling a horse for ` 570, a tradesman would lose 5% At what price must he sell it to gain 5%?

(1) ` 530 (2) ` 580 (3) ` 620 (4) ` 630

20. A dishonest fruit seller sells fruits at 5% loss. If he uses 850 gm weight in place of 1 kg weight then what is his profit percent?

(1) 11 % (2) 12 %

(3) 12 % (4) 12%

21. A dishonest shopkeeper sells his goods at cost price. If he uses a faulty scale. He earns 25% profit. Find out what weight does he use in place of 1 kg weight.

(1) 800 (2) 889 (3) 881 (4) 772

22. A dishonest dealer professes to sell his goods at cost price. But he uses a weight of 950 gm for one kg weight. Find his gain percent.

(1) 5 % (2) 6 % (3) 5.30 % (4) 5.28%

23. A tradesman marks his goods at such a price that after allowing a discount of % for cash payment, he makes a profit of 20% What is the marked price of the article which cost him ` 210?

(1) 285 (2) 288 (3) 385 (4) 388

24. The price of sugar falls down by 20 % and a House wife id able to by 5 kg more for) ` 100 find the original cost price of sugar?

(1) 8 (2) 9 (3) 6 (4) 5

25. The price of tea increases by 32% and so a housewife’s expenditure on tea increases by 10%. If she bought 10 kgs earlier, what is the quantity bought now?

(1) 8 (2) 9 (3) 10 (4) 11

26. A shopkeeper sells a TV. Set on discount of 8% of printed price and gains 35% If marked price was ` 20,000 then, what was the cost price?

(1) ` 13800 (2) ` 14720 (3) `14800 (4) ` 13700

27. Partha earns 15% on an investment but losses 10% on another investment. If the ratio of two investments is 3: 5, then the combined loss percent

is

(1) (2) (3) (4)

28. The marked price of a radio is ` 480. The shopkeeper allows a discount of 10% and still gains 8% If no discount is allowed, find his gain percent.

(1) 10% (2) 15% (3) 20% (4) 35%

29. 5% more is gained by selling a cow for ̀ 1010 than by selling it for ` 1000. Find the cost price of the cow.

(1) ` 200 (2) ` 150 (3) ` 125 (4) Can’t determined (5) None of these

30. A retails seller buys 30 pens at the marked price of 27 pens. What is his profit percent.

(1) 11 % (2) 11 % (3) 11.5% (4) 20%

31. At the marked price of 40 pens a retails seller buys 36 pens. If he gives 1% discount, find his profit percent?

(1) 10.2% (2) 10.5% (3) 11.5% (4) 10%

32. A piece of land came to a person through three middle man each gaining 20% If the person purchased the land for ̀ 3, 45,600 the original cost of the land was

(1) ` 1, 00,00 (2) ` 1,50,000 (3) ` 1,75,800 (4) ` 2,00,000

33. Nikita bought 30 kg of wheat at the rate of ` 9.50 per kg and 40 kg of wheat at the rate of ` 8.50 per kg and mixed them. She sold the mixture at the rate of ` 8.90 per kg. Her total profit or loss in the transaction was

(1) ` 2 loss (2) ` 2 profit (3) ` 7 loss (4) ` 7 profit

34. 9 kg of rice cost as much as 4kg of sugar; 14 kg of sugar cost at much as 1.5 kg of tea; 2 kg of a tea cost as much as 5 kg of coffee; find the cost of 11 kg of coffee, if 2.5 kg of rice cost ` 12.50.

(1) ` 465 (2) ` 462 (3) ` 365 (4) ` 362

35. If the cost price is 96% of the selling price, then what is the profit percent?

(1) 4.17% (2) 4.18% (3) 4.19% (4) 5.00%

36. Monika purchased pressure cooker at th of its

59


selling price and sold is at 8% more than its S.P. Find her gain percent.

(1) 20% (2) 15% (3) 25% (4) 18%

37. An article is sold at certain price, By selling it at of that price one loses 10%. Find the gain percent at original price.

(1) 35% (2) 25% (3) 30% (4)

38. A tradesman sold an article at a loss of 20%. If the selling price had been increased by Rs. 100, there would have been a gain of 5%. What was the cost price of the article?

(1) Rs. 400 (2) Rs. 450 (3) Rs. 500 (4) Rs. 550

39. The price of a jewel, passing through three hands rises on the whole by 65% if the first and the second sellers earned 20% and 25% profit respectively find the percentage profit earned by the third seller.

(1) 11% (2) 10% (3) 12% (4) 13%

40. A man bought a horse and a carriage for Rs. 3000. He sold the horse at a gain for 20% and the carriage at a loss of 10%, thereby gaining 2% on the whole. Find the cost of the horse.

(1) Rs. 1250 (2) Rs. 1150 (3) Rs. 1200 (4) Rs. 1300

41. After getting two successive discounts, a shirt with a lost price of Rs. 150 is available at Rs. 106. If the second discount is 12.5%, find the first discount.

(1) 20% (2) 19% (3) 25% (4) 22%

42. A retailer buys 40 pens at the marked price of 36 pens form a wholesaler. It he sells these pens giving a discount of 1%. What is the profit percent?

(1) 10% (2) 11% (3) 9% (4) 13%

43. An article was sold for Rs. 144. If the percentage of profit was numerically equal to the cost price, the cost of the article was:

(1) Rs. 72 (2) Rs. 80 (3) Rs. 90 (4) Rs. 100

44. The cash difference between the selling prices of an article at a profit of 4% and 6% is Rs. 3. The ratio of the two selling prices is:

(1) 51 : 52 (2) 52 : 53 (3) 51 :53 (4) 52 : 55

45. A man purchased sugar worth Rs. 400. He sold th at a loss of 10% and the remainder at a gain of 10%. On the whole, he gets:

(1) A loss of 5% (2) A gain of % (3) A loss of % (4) A loss of %

46. Albert buys 4 horses and 9 cows for Rs. 13,400. If he sells the horses at 10% profit and the cows at 20% profit, then he earns a total profit of Rs. 1880. The cost of a horse is:

(1) Rs. 1000 (2) Rs. 2000 (3) Rs. 2500 (4) Rs. 3000

47. On selling a chair at 7% loss and a table at 17% gain, a man gains Rs. 296. If he sells the chair at 7% gain and the table at 12% gain, then he gains Rs. 400. The actual price of the table is:

(1) Rs.1600 (2) Rs. 1800 (3) Rs.2200 (4) Rs. 2400

48. The marked price of a watch was Rs. 720. A man bought the same for Rs. 550.80 after getting two successive discounts the first being 10% What was the second discount rate?

(1) 12% (2) 14% (3) 15% (4) 18%

49. By selling an article at of the marked price there is a loss of 25% the ratio of the marked price and the cost price of the article is:

(1) 2 : 5 (2) 5:2 (3) 8:15 (4) 15:8

answer key1. (3) 2. (2) 3. (1) 4. (4) 5. (4)6. (1) 7. (4) 8. (3) 9. (4) 10. (1)11. (1) 12. (1) 13. (2) 14. (2) 15. (2)16. (4) 17. (3) 18. (4) 19. (4) 20. (1)21. (1) 22. (1) 23. (2) 24. (4) 25. (1)26. (2) 27. (3) 28. (3) 29. (1) 30. (1)31. (4) 32. (4) 33. (2) 34. (2) 35. (1)36. (1) 37. (1) 38. (1) 39. (2) 40. (1)41. (2) 42. () 43. () 44. () 45. ()46. () 47. () 48. () 49. ()

60


8 Simple interest

1. Find the simple interest on Rs. 68,000 at % per annum for 9 months.

(1) Rs. 8500. (2) Rs. 7500. (3) Rs. 6500. (4) Rs. 9500.

2. Simple interest on a certain sum at a certain annual rate of interest is 1/9 of the sum. If the numbers representing rate percent and time in years be equal, then the rate of interest is:

(1) 3 31

% (2) 5% (3) 6 32

% 4) 10%

3. What will be the S.I. earned on an amount of Rs. 10000 in 73 days at the rate of 8 % p.a.?

(1) 200 (2) 160 (3) 260 (4) 250

4. The simple interest on Rs. 3200 from April 4, 2003 to Jun 16, 2003 at 5% rate will be:

(1) Rs. 30 (2) Rs. 25 (3) Rs. 32 (4) Rs. 29

5. The simple interest on Rs. 18000 from March 9, 2003 to May 21, 2003 at 10% rate will be:

(1) 350 (2) 360 (3) 370 (4) 291

6. How much time will it take for a sum of Rs. 450 to yield Rs. 81 as interest at 4.5% per annum of simple interest?

(1) 3.5yrs (2) 4 yrs (3) 4.5 yrs (4) 5 yrs

7. Mr. Sharma takes loan of Rs.25,000 and repays an amount of Rs.31,000 at the end of 2 years. What is the rate of simple interest at which he repays the loan ?

(1) 8 p.c.p.a. (2) 6 p.c.p.a. (3) 12 p.c.p.a. (4) 9 p.c.p.a.

8. Reena took a loan of Rs. 1200 with simple interest of Rs.252. in 2 years and 4 months. The rate of interest per annum is:

(1) 3.6 (2) 6 (3) 18 (4) Cannot be

determined

9. Rs. 800 becomes Rs. 956 in 3 years at a certain rate of simple interest. If the rate of interest is

LeVeL - 1

increased by 4%, what amount will Rs.800 become in 3 years?

(1) Rs. 1020.80 (2) Rs.1025 (3) Rs. 1052 (4) Data inadequate

10. What will be the ratio of simple interest earned by certain amount at the same rate if interest for 6years and that for 9 years?

(1) 1: 3 (2) 1 : 4 (3) 2: 3 (4) data inadequate (5) None of these 11. A sum of money doubles itself in 10 years at

simple interest. What is the rate of interest? (1) 8% (2) 10% (3) 6% (4) 16%12. A sum of money doubles itself in 7 yrs. In how

many years will it become fourfold? (1) 14 yrs (2) 21yrs (3) 28 yrs (4) 10 yrs13. At what rate percent of simple interest will a sum

of money double itself in 12 years?

(1) 8¼% (2) 8 31

% (3) 8½% (4) 9%

14. The rate of which a sum becomes four times of itself in 15 year at S.I. will be :

(1) 15% (2) 17½% (3) 20% (4) 25%

15. In how many years will a sum of money double itself at 20% per annum?

(1) 6 yrs (2) 5 yrs (3) 4 yrs (4) 8 yrs

16. In how many years will a sum of money 5 time itself at 20% per annum?

(1) 26 yrs (2) 25 yrs (3) 20 yrs (4) 18 yrs

17. If a sum of money at simple interest doubles in 6 years, it will become 4 times in:

(1) 12 yrs (2)14 yrs (3)16 yrs (4) 18 yrs

18. Simple interest on a certain sum is 16/25 of the sum. Find rate % and time, if both are equal.

(1) 11 yrs, 10% (2) 4 yrs, 4% (3) 6 yrs, 6% (4) 8 yrs, 8% 19. A lent Rs 600 to B for 2 years, and Rs 150 to C for

61


4 years and received altogether from both Rs 90 as interest. Find the rate of interest, simple interest being calculated.

(1) 8% (2) 5% (3) 6% (4) 4%

20. The rate of interest for the first 2 yrs is 3% per annum, for the next 3 years is 8% per annum and for the period beyond 5 years 10% per annum. If a man gets Rs. 1520 as a simple interest for 6 years, how much money did he deposit?

(1) 1200 (2) 3800 (3) 3600 (4) 3040

21. A sum was put at SI at a certain rate for 2 yrs. Had it been put at 3% higher rate, it would have fetched Rs 300 more. Find the sum.

(1) 3500 (2) 2500 (3) 2400 (4) 5000

22. At a certain rate of simple interest Rs 800 amounted to Rs 920 in 3 years. If the rate of interest be increased by 3%, what will be the amount after 3 years?

(1) Rs 1080 (2) Rs 992 (3) Rs 972 (4) Rs 1024

23. A man lose Rs 200 yearly when the annual rate of interest falls form 2%. His capital in Rs is:

(1) 12000 (2) 16000 (3) 14000 (4) 10000

24. A man loss Rs 300, 3 years when the annual rate of interest falls form 5%. His capital in Rs is:

(1) 2000 (2) 3000 (3) 5000 (4) 4000

25. A sum of money at S. I. amounts to Rs.1200 in 2 years and Rs.1400 in 4 years. The sum is:

(1) 1100 (2) 1000 (3) 900 (4) 800

26. A sum of money lent out at simple interest amounts to 720 after 2 years and to 1020 after a further period of 5 years. The sum is:

(1) 500 (2) 600 (3) 700 (4) 710

27. A sum of money amounts to Rs. 9800 after 5 years and Rs. 12005 after 8 years at the same rate of simple interest. The rate of interest per annum is:

(1) 5% (2) 8% (3) 12% (4) 15%

28. A certain sum of money at simple interest amounts to 1012 in 2½ years and to 1067.20 in 4 years. The rate of interest per annum is:

(1) 2.5% (2) 3% (3) 4% (4) 5%

29. A person lent a certain sum of money at 4% simple

interest; and in 8 years the interest amounted to Rs 340 less than the sum lent. Find the sum lent.

(1) Rs 800 (2) Rs. 500 (3) Rs 600 (4) Rs 1000

30. The difference between the interest received from two different banks on Rs 500 for 2 yrs is Rs 2.5. Find the difference between their rates.

(1) 0.50% (2) 0.25% (3) 0.20% (4) 2.5%31. The simple interest on a certain sum of money

at 4% per annum for 4 yrs is Rs 80 more than the interest on the same sum for 3 yrs at 5% pr annum. Find the sum in Rs.

(1) 1000 (2) 8000 (3) 1200 (4) 160032. A man had 50000, part of which he lent at 10%

p.a. and rest at 15% p.a. S.I. If the total annual interest be Rs 6000 the money lent 10% is :

(1) 20000 (2) 25000 (3) 30000 (4) 24000

33. A man had 25000, part of which he lent at 12% p.a. and rest at 14% p.a. S.I. If the total annual interest be Rs 3260 the money lent 14% is :

(1) 14000 (2) 15000 ( 3 ) 13000 (4) 12000

34. A man invests money in three different schemes for 6 years, 10 years and 12 years at 10%,12% and 15% simple interest. At the completion of each scheme, he gets the same interest. The ratio of his investments is:

(1) 2:3:4 (2) 3:4:2 (3) 3:4:6 (4) 6:3:2

35. A man invests Rs 42000 in three different schemes for 4 years, 5 years and 6 years at 15%,10% and 5% simple interest. At the completion of each scheme, he gets the same interest. Find the invests first schemes is:

(1) 10000 (2) 12000 (3) 20000 (4) 15000

38. Ramesh borrows Rs 7000 from a banks at SI. After 3 yrs he paid Rs 3000 to the bank and at the end of 5 yrs from the date of borrowing he paid Rs 5450 to the bank to settle the account. Find the rate of interest.

(1) 4.14% (2) 5% (3) 10% (4) 8%

answer key

62


Simple interest LeVeL -2

1. A person borrows Rs. 5000 for 2 years at 4% p.a. simple interest. He immediately lends it to another person at 6 ¼% p.a. for 2 years. Find his gain in the transaction per year.

(1) 225 (2) 125 (3) 150 (4) 167.50

2. A sum of Rs. 1600 gives a simple interest of Rs. 252 in 2 years and 4 months. The rate of interest per annum is:

(1) 6% (2) 6¼% (3) 6½% (4) 6 ¾%

3. A sum of money trebles itself in 15 years 6 months. In how many years would it double.

(1) 6 years 3 month (2) 7 years 9 months (3) 8 years 3 months (4) 9 years 6 months

4. The difference between the simple interest received from two different sources on Rs. 1500 for 3 years is Rs. 13.50. The difference between their rates of interest is:

(1) 0.1% (2) 0.2% (3) 0.3% (4) 0.4%

5. At what rate percent per annum will the simple interest on a sum of money be 2/5 of the amount in 10 years?

(1) 4% (2) 5% (3) 6% (4) 6%

6. In how much time would the simple interest on a certain sum be 0.125 times the principle at 10% per annum?

(1) 1¼ yrs (2) 1¾ yrs (3) 2¼ yrs (4) 2¾ yrs

7. How long will it take a sum of money invested at 5% p.a. S.I. to increase its value by 40%?

(1) 5 yrs (2) 6 yrs (3) 7 yrs (4) 8 yrs

8. Simple interest on a certain sum at a certain annual rate of interest is 1/9 of the sum. If the numbers representing rate percent and time in years be equal, then the rate of interest is:

(1) 3 31

% (2) 5% (3) 6 32

% (4) 10%

9. A lends Rs. 2500 to B and a certain sum to C at the same time at 7% p.a. simple interest. If after 4 years, A altogether receives rs. 1120 as interest from B and C, then the sum lent to C is:

(1) 700 (2) 1500 (3) 4000 (4) 6500

10. Two equal sums of money were lent at simple interest at 11% p.a. for 3 ½ years and 4 ½ years respectively. If he difference in interests for two periods was Rs. 412.50, then each sum is:

(1) 3250 (2) 3500 (3) 3750 (4) 4250

11. If the simple interest on a certain sum for 15 months at 7 ½% per annum exceeds the simple interest on the same sum for 8 months at 12 ½% per annum by Rs. 32.50, then the sum is:

(1) 3000 (2) 3060 (3) 3120 (4) 3250

12. A man invests a certain sum of money at 6% p.a. simple interest and another sum at 7% p.a. simple interest. His income from interest after 2 years, was Rs. 354. One fourth of the first sum is equal to one fifth of the second sum. The total sum invested was:

(1) 2600 (2) 2700 (3) 2880 (4) 2900

13. A person borrowed Rs. 500, 3% per annum S.,I. and Rs. 600, 4 ½% per annum on the agreement that the whole sum will be returned only when the total interest becomes Rs. 126. The numbers of years, after which the borrowed sum is to be returned, is:

(1) 2 (2) 3 (3) 4 (4) 5

14. A lent Rs. 5000 to B for 2 years and Rs. 3000 to C for 4 years on simple interest at the same rate of interest and received Rs. 2200 in all from both of them as interest. The rate of interest per annum is:

(1) 5% (2) 7% (3) 7% (4) 10%

15. Rs 4000 is divided into two parts such that if one part be invested at 3% and the other at 5%, the annual interest from both the investments is Rs 144. Find each part.

(1) 1000, 3000 (2) 2800, 1200 (3) 2400,1600 (4) 2500, 1500

16. The simple interest accrued in 3 years on a principal of Rs 25,000/- is three-twentieth the principal. What is the rate of simple interest p.c.p.a. ?

(1) 5 ((2) 4 (3) 6 ((4) 3 (5) None of these

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17. Find the simple interest on Rs. 68,000 at % per annum for 9 months.

(1) Rs. 8500. (2) Rs. 8000. (3) Rs. 9500. (4) Rs. 6500.

18. Adam borrowed some money at the rate of 6% p.a. for the first two years. At the rate of 9% p.a. for the next three years, and at the rate of 14% p.a. for the period beyond five years, If he pays a total interest of Rs. 11, 400 at the end of nine years, how much money did he borrow?

(1) 12000 (2) 13000 (3) 14000 (4) 15000

19. Reena took a loan of Rs. 1200 with simple interest of Rs.252. in 2 years and 4 months. The rate of interest per annum is:

(1) 3.6 (2) 6 (3) 18 (4) Cannot be determined (5) None of these

20. Rs. 800 becomes Rs. 956 in 3 years at a certain rate of simple interest. If the rate of interest is increased by 4%, what amount will Rs.800 become in 3 years?

(1) Rs. 1020.80 (2) Rs.1025 (3) Rs. 1052 (4) Data inadequate (5) None of these

21. A certain amount earns simple interest of Rs. 1750 after 7 years, Had the interest been 25 more, how much more interest would it have earned?

(1) Rs.35 (2) Rs.245 (3) Rs.350 (4) Cannot be determined (5) None of these

22. What will be the ratio of simple interest earned by certain amount at the same rate if interest for 6years and that for 9 years?

(1) 1: 3 (2) 1 : 4 (3) 2: 3 (4) data inadequate (5) None of these

23. A sum invested at 5% simple interest per annum grows to Rs. 504 in 4 years. The same amount at 10% simple interest per annum in 2½ years will grow to:

(1) RS. 420 (2) Rs. 450 (3) Rs. 525 (4) Rs. 550

24. An automobile financier claims to be lending money at simple interest, but he includes the interest every six months for calculating the principal. If he is charging an interest of10% the

effective rate of interest becomes: (1) 10% (2) 10.25% (3) 10.5% (4) None of these

25. A lent Rs. 5000 to B for 2 years and Rs. 3000 to C for 4 years on simple interest at the same rate of interest and received Rs. 2200 in all from both of them as interest. The rate of interest per annum is:

(1) 5% (2) 75 (3) % (4) 10%

26. A sum of s 725 is lent in the beginning of a year at a certain rate of interest After 8 months, a sum of Rs. 362.50 more is lent but at the rate twice the former. At the end of the year, R. 33.50 is earned as interest from both the loans. What was the original rate of interest?

(1) 3.6% (2) 4.5% (3) 5% (4) 6% (5) None of these

27. The difference between the simple interest received from two different sources on Rs. 150 for 3 years is Rs. 13.50. The difference between their rates of interest is:

(1) 0.1% (2) 0.2% (3) 0.3% (4) 0.4% (5) none of these

28. Peter invested an amount of Rs. 12,000 at the rate of 10 p.c.p.a. simple interest and another amount at the rate of 20 p.c.p.a. simple interest. The total interest earned at the end of one year on the total amount invested became 14 p.c.p.a. Find the total amount invested.

(1) Rs. 20,000 (2) RS.22, 000 (3) Rs.24,000 (4) Rs. 25,000 (5) None of these

29. The rates of simple interest in two banks A and B are in the ratio 5: 4. A person wants the deposit his total savings in two banks in such a way that he received equal half. Yearly interest from both. He should deposit the savings in banks A and B in the ratio:

(1) 2: 5 (2) 4: 5 (3) 5 : 2 (4) 5: 4

30. An amount of Rs. 1,00,000 is invested in two types of shares. The first yields an interest of 95 p.a. and the second, 11% p.a. if the total interest at the end

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of one year is %, then the amount invested in each share was :

(1) Rs. 52,500; Rs. 47,500 (2) Rs. 62,500, Rs. 37,500 (3) Rs. 72,50; Rs. 27500 (4) Rs. 82,500; Rs.17,500

31. Divide Rs. 2379 into 3 parts so that their amounts after 2, 3, and 4 years respectively may be equal, the rate of interest being 55 per annum at simple interest. The first part is:

(1) Rs. 759 (2) Rs. 792 (3) Rs. 8181 (4) Rs. 828

answer key1. (1) 2. (4) 3. (2) 4. (3) 5. (1)6. (1) 7. (4) 8. (1) 9. (2) 10. (3)11. (3) 12. (2) 13. (2) 14. (4) 15. (2)16. (1)

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Simple interest LeVeL -3

1. At what rate of simple interest per annum a sum

becomes of itself in 4 years? (1) 18% (2) 18¼% (3) 18¾% (4) 18½%

2. A sum of money at a certain rate per annum of simple interest. Doubles in 5 years and at a different rate triples in 12 years. The lower rate of interest per annum is

(1) 15% (2) 20% (3) 15¾% (4) 8 %3. In what time will ` 72 becomes ` 81 at 6 ¼% per

annum simple interest? (1)2 years (2) 3 years (3) 2 years 6 months (4)

Can’t be determined (5) None of these

4. What sum of money must be given at simple interest for six month at 4% per annum in order to earn ` 150 interest?

(1) ` 5000 (2) ` 7500 (3) `10,000 (4) ` 15,000 (5) None of these

5. The difference between the simple interest received from two different sources on `1500 for 3 years in ` 13.50.The difference between their rates of interest is

(1) 0.1% (2) 0.2% (3) 0.3% (4) 0.4% (5) None of these

6. A sum of ̀ 10,000 is lent partly at 8% and remaining at 10% per annum. It the average yearly rate of interest is 9.2% the two parts are

(1) ` 4000, ` 6000 (2) ` 4500, ` 5500 (3) ` 5000, ` 5000 (4) ` 05500, ` 4500

7. A person lends 40% of his sum of money at 15% per annum, 50% of rest at 10% per annum and the rest at would be the annual rate of interest, if the interest is calculated on the whole sum?

(1) 13.4% (2) 14.33% (3)14.4% (4) 13.33% (5) None of these

8. Ramesh deposited ̀ 15,600 is a fixed deposit at the rate of 10% per annum at simple interest. After every second year, he adds his interest earnings to the principal. The total interest at the end of fourth year is

(1) ` 6468 (2) ` 6684 (3) `6240 (4) ` 6872 (5) ` 6864

9. A part of `1500 was lent at 10% per annum and the rest at 7% per annum simple interest. The total interest earned in three years was ̀ 396. The sum lent at 10% was

(1) ` 900 (2) ` 800 (3) ` 700 (4) ` 600

10. Manoj deposited ` 29400 for 6 years at a simple interest he got ̀ 4200 as interest after 6 years. The annual rate of interest was

(1) % (2) % (3) % (4) %

11. A sum of money, at simple interst, triples itself in 15 years. It will become 5 times of itself in.

(1) 40 years (2) 36 years (3) 30 years (4) 25 years

12. Simple interest accrued on an amount in 8 years @ 12% p.a. is ̀ 5,520. What is the principal amount?

(1)` 5,750 (2) ` 8,500 (3) ` 5,650 (4) ` 8,250 (5) None of these

13. An amount of ̀ 45,000 becomes ̀ 77,400 on simple interest in eight years. What is the rate of interest % p.a?

(1) 9 (2) 11 (3) 8 (4) 10.5

14. Mr. Sharma takes loan of ` 25,000 and repays an amount of ` 31,000 at the end of 2 years. What is the rate of simple interest at which he repays the loan?

(1) 8% p.a. (2) 12.5 (3) 15 (4) 9% p.a. (5) None of these

15. The interest earned on ` 15,000 in three years at simple interest is ` 5, 400. Find the rate percent per annum?

(1) 11.5 (2) 12.5 (3) 15 (4) 12

16. What would be the simple interest obtained on amount of ` 8,930 at the rate of 8% p.a after 5 years?

(1) ` 5,413 (2) ` 2,678 (3) ` 3,572 (4) ` 4,752 (5) None of these

17. Ms. Vishakha deposits an amount of ` 35,800 to

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obtain a simple interest at the rate of 15% p.a for 4 years. What total amount will Ms. Vishakha get at the end of 4 years?

(1) `45,680 (2) ` 39,880 (3) ` 21, 480

(4) ` 57,280 (5) None of these18. Shilpa invests a certain amount at the rate of 6%

p.a. for 5 years. If she obtains a simple interest of ` 8,490 at the end of 5 years How much amount did Shilpa invest?

(1) ` 25,000 (2) ` 28,500 (3) ` 30,000 (4) ` 36,790 (5) None of these19. What would be the simple interest obtained on

an amount of ` 8,435 at the rate of 12% p.a. after 4 years?

(1) ` 3414 (2) `3921 (3) ` 3807 (4) ` 3149 (5) None of these20. The simple interest accured on an amount of `

10,530 at the end of 5 years is ` 6,318. What is the rate of interest % p.a.?

(1) 8 (2) 14 (3) 10 (4) 12 (5) None of these21. What would be the simple interest obtained on an

amount of ` 6,535 at the rate of 10% p.a. (percent per annum) after 6 years?

(1) ` 3414 (2) ` 3921 (3) ` 3807 (4) ` 3149 (5) None of these22. What would be the simple interest obtained on

an amount of ` 7055 at the rate of 15% p.a. for 6 years?

(1) ` 6689.50 (2) ` 6,529 (3) ` 6,469 (4) ` 3149 (5) None of these23. A Sum fetches simple interest of ` 708.75 at the

rate of 12.5 % p.a. in 10 years. What is the sum? (1) ` 885.95 (2) ` 567 (3) ` 5,670 (4) Can’t be determined (5) None of these 24. Kirti took a loan at simple interest rate of 6% in

the first year with an increase of 0.5% in each subsequent year. She paid interest of ̀ 3,375 after four years. How much loan did she take?

(1) ` 12,500 (2) ` 33,250 (3) ` 15,800 (4) Cannot be determined (5) None of these

25. An amount doubles itself in 5 years with simple interest. What is the rat of interest % p.a.?

(1) 20% (2) 35% (3) 25% (4) Can’t be determined (5) None of these

26. Suhit borrowed a sum of ` 6,300 from Vikas at the rate of 14% for 3 years. He then added some more money to the borrowed sum and lent it to Mohit at the rate of 16% of simple interst for the same time. If Suhit gained ` 618 in the whole transaction. Then what sum did he lend to Mohit?

(1) ` 7,000 (2) ` 6,800 (3) ` 7,200 (4) cannot be determined (5) None of these27. Vishwas borrowed a total amount of ` 30,000 a

part of it on simple interest rate of 12% pa.a. and remaining on simple interest rate of 10% p.a. f at the end of 2 years he paid in all ` 26,480 to settle the loan amount, what was the amount borrowed at 12% p.a.?

(1) ` 16,000 (2) ` 18,000 (3) ` 17,500 (4) ` 12,000 (5) None of these28. A sum of money doubles itself in 10 years at

simple interest. What is the rate of interest? (1) 10% (2) 20% (3) 25% (4) 30% (5) None of these29. In what times does a sum of money become four

times if rate of interest is 5% per annum? (1) 40 yrs (2) 50 yrs (3) 60 yrs (4) 70 yrs (5) None of these30. A certain sum of money amounts to ̀ 756 in 2 yrs

and to ` 873 in 2.5 yrs. Find the sum and the rate of interest.

(1) ` 600, 13% p.a. (2) ` 800, 15% p.a. (3) ` 700, 14% p.a. (4) ` 600, 13% p.a.31. A sum of money doubles itself in7 yrs, in how

many years will it become four old? (1) 19yrs (2) 21yrs (3) 23yrs (4) 25yrs (5) None of these32. A certain sum of money amounted to ̀ 575 At 5%

in a time in which ` 750 amounted to ` 840 at 4%. If the rate of interest is simple, find the sum.

(1) ` 500 (2) ` 600 (3) ` 700 (4) ` 800 (5) None of these33. A person lent a certain sum of money at 4% simple

interest; and in 8 years the interest amounted to ̀ 340 less than the sum lent. Find the sum lent.

(1) ` 300 (2) ` 500 (3) ` 700 (4) Can’t be determined (5) None of these

34. The simple interest on ̀ 1650 will be less than the interest on ` 1800 at 4% simple interest by ` 30. Find the time.

67


(1) 3 yrs (2) 4 yrs (3) 5 yrs (4) 6 yrs (5) None of these35. Two equal amount of money are deposited in

two banks each at 15% per annum of 3.5 yrs and 5 yrs respectively. If the difference between their interests is ` 144, find each sum.

(1) ` 640 (2) ` 480 (3) ` 720 (4) ` 740 (5) None of these36. The simple interest on a certain sum if money

at 4% per annum for 4 yrs is ` 80 more than the interest on the same sum for 3 yrs. At 5% per annum, Find the sum.

(1) ` 6000 (2) ` 8000 (3) ` 10000 (4) ` 12000 (5) None of these37. The interest rate of a private bank is 12% per

annum. A customer deposits ̀ 12,000 in that bank. After how many years will his deposit become ` 18,000?

(1) 4 years (2) 4½ years (3) 6 months (4) Can’t be determined (5) None of these38. A person invests money in three different schemes

for 6 years, 10 years and 12 years at 10%, 12% and 15% simple interest respectively. At the completion of each scheme. He gets the same interest. The ratio of his investments is-

(1) 6 : 3 :2 (2) 2 : 3 : 4 (3) 3 : 4 :6 (4) 3 : 4 : 2 (5) None of these39. If ` 64 amounts to ` 83.20 In 2 years, what will `

86 amount to in 4 years at the same rate percent per annum?

(1) ` 132.50 (2) ` 135.60 (3) ` 137.60 (4) Can’t be determined (5) None of these40. A money- lender finds that due to a fall in the rate

of interest from 13% to 12¼%, his yearly income diminishes by ` 104, What is his capital?

(1) ` 20800 (2) ` 32800 3) ` 34600 (4) ` 36400 (5) None of these41. ` 800 amount to ̀ 920 in 3 years at simple interest.

If the interest rate is increased by 3%, then what will be the total amount?

(1) ` 982 (2) ` 992 (3) ` 960 (4) ` 964 (5) None of these

42. A lent ` 600 to B for 2 years and ` 150 to C for 4 years and received altogether from both ` 90 as simple interest. The rate of interest is

(1) 3% (2) 4% (3) 5% (4) 6%

43. The difference between the interest received from two different banks on ` 500 for 2 years is ` 2.50 The difference between their rates is.

(1) 0.21% (2) 0.22% (3) 0.25% (4) 0.27%44. The rate of interest on a sum of money is 4% per

annum for the first 2 years. 6% per annum of the next 4 years and 8% per annum for the period beyond 6 years If the simple interest accrued by the sum for a total period of 9 years is ̀ 1120, What is the sum?

(1) ` 2000 (2) ` 2200 (3) ` 2400 (4) ` 2500 (5) None of these45. A certain sum of money amounts to ` 2613 in 6

yrs at 5% per annum. In how many years will it amount to ` 3015 at the same rate?

(1) 5 yrs (2) 10 yrs (3) 15 yrs (4) 20 yrs (5) None of these46. Some amount out of ` 7000 was lent at 6% per

annum and the remaining at 4% per annum. If the total simple interest from both the fractions in 5 yrs was ̀ 1600.find the sum lent at 6% per annum

(1) ` 1200 (2) ` 1500 (3) ` 1800 (4) ` 2000 (5) None of these47. A certain sum at certain rate % per annum simple

interest becomes ` 2100 in 2 years and ` 2250 in 5 years. The principal and rate of interest are-

(1) ` 1800; 3% (2) ` 1800; 5% (3) ` 2000; 3% (4) ` 2000; 2.5%

answer key1. (3) 2. (5) 3. (1) 4. (2) 5. (3) 6. (1) 7. (3) 8. (5) 9. (1) 10. (1)11. (3) 12. (1) 13. (1) 14. (3) 15. (4)16. (3) 17. (4) 18. (5) 19. (2) 20. (4)21. (2) 22. (4) 23. (2) 24. (1) 25. (1)26. (2) 27. (4) 28. (2) 29. (3) 30. (1)31. (2) 32. (1) 33. (2) 34. (3) 35. (1)36. (2) 37. (5) 38. (4) 39. (3) 40. (1)41. (2) 43. (2) 43. (3) 44. (1) 45. (1)46. (2) 47. (4)

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9 compound interest

1. Find the compound interest on Rs 12000 at 10% p.a. for 2 years.

(1) Rs.2620 (2) Rs. 2500 (3) Rs. 2520 (4) Rs. 2000

2. Find compound interest on Rs 6250 at 8% p. a. for 2 years.

(1) 1000 (2) 1050 (3) 1040 (4) 1100

3. Find the compound interest on Rs. 8000 at 5% p.a. for 3 years.

(1) Rs. 1250 (2) Rs. 1261 (3) Rs. 1241 (4) Rs. 1271

4. Find compound interest on Rs 4000 at 10% per annum for 2 years and 3 months, compounded annually.

(1) 921 (2) 491 (3) 961 (4) 941

5. The compound interest on Rs 2800 for 1year 6 months at 10% p. a. is.

(1) 441.35 (2) 436.75 (3) 434 (4) 420

6. Find compound interest on Rs 5000 at 12% p. a. for 1 year , compounded half- yearly.

(1) 600 (2) 618 (3) 712 (4) 750

7. Find compound interest on Rs 50000 at 12% per annum for 6 months compounded quarterly.

(1) 3000 (2) 3040 (3) 3045 (4) 4000

8. Find the difference between simple interest and compound interest on 20000 Rs. for 3 years at 10% p.a. is:

(1) 610 (2) 600 (3) 620 (4) 310

9. Find the compound interest on Rs 18,750 in 2 yrs, the rate of interest being 4% for the first year and 8% for the second year.

(1) Rs. 2310 (2) Rs. 2300 (3) Rs. 2400 (4) Rs. 2500


(1) 467 (2) 567 (3) 268 (4) 368

LeVeL - 1

11. The CI on a certain sum is Rs 104 for 2 yrs and SI is Rs 100. What is the rate per cent ?

(1) 7% (2) 8.5% (3) 8% (4) 9%

12. The CI on a certain sum is Rs 836 for 2 yrs and SI is Rs 800. What is the rate per cent ?

(1) 7% (2) 9% (3) 10% (4) 12%

13. The simple interest on a sum of money for two years at 10% p.a. is Rs. 600. What will be the compound interest on the same sum of money for the same period at the same rate of interest?

(1) 620 (2) 625 (3) 725 (4) 630

14. The simple interest on a sum of money for 5 years is Rs. 2000 at 15% p.a. Find the compound interest on the same sum of money at same rate for 3 years.

(1) 1286 (2) 1386 (3) 1550 (4) 1440

15. The compound interest on a sum of money for two years at 8% p.a. is Rs. 624. What will be the simple interest on the same sum of money for the same period at the same rate of interest?

(1) 700 (2) 750 (3) 600 (4) 800

16. The compound interest on a sum of money for two years at 12% p.a. Rs. 1696. What will be the simple interest on the same sum of money for the same period at the same rate of interest?

(1) 1650 (2) 1600 (3) 1700 (4) 1750

17. The difference between compound interest and simple interest on a certain sum at 8% per annum for 2 years is Rs 240. Find the sum.

(1) 37500 (2) 35000 (3) 32000 (4) 30000

18. If difference between compound interest and simple interest on a sum of money for two years at 10% per annum is Rs. 24, then the sum is :

(1) 1800 (2) 2000 (3) 2400 (4) 2500

19. The difference between simple interest and compound interest on a certain sum of money for 3 years at 10% p.a. is Rs. 15.50. The sum is

(1) 5000 (2) 3000 (3) 550 (4) 500

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20. At what rate per cent compounded yearly will Rs 80,000 amount to Rs 88,200 in 2 yrs?

(1) 6% (2) 7% (3) 3% (4) 5%

21. The rate of interest at which amount of Rs. 1800 on compound amount becomes Rs. 1984.50 in 2 years is

(1) 3% (2) 4% (3) 5% (4) 6%

22. In how many years will a sum of Rs. 10000 at 10 % p.a. compounded annually become Rs 13310?

(1) 3 (2) 4 (3) 5 (4) 6

23. In how many years will a sum of Rs. 800 at 10% p.a. compounded semiannually become 926.1 ?

(1) 3 (2) 2 (3) 1 21

(4) 1

24. Find the sum which will amount to Rs. 9261 after 3 years compounded at the rate of 5%

(1) 8000 (2) 8500 (3) 9000 (4) 9200

25. An amount of money grows upto ` 31,944 in 3 years and upto ̀ 35,138.40 in 4 years on compound interest. What is the rate percent?

(1) 8% (2) 9% (3) 10% (4) 11%

26. A sum of money amounts to Rs. 1210 in two years and Rs. 1331 in three years at compound interest (interest being compounded annually). The interest rate per annum is

(1) 8 (2) 10 (3) 10.5 (4) 11

27. A sum of money amounts to Rs. 2809 in two years and Rs. 2977.54 in three years at compound interest annually. Find the sum:

(1) 2800 (2) 2000 (3) 1950 (4) 2500

28. A sum of money amounts to Rs. 12100 in two years and Rs. 14641 in 4 years at compound interest annually. The sum is :

(1) 8000 (2) 10000 (3) 11000 (4) 12000

29. A sum of money amounts to Rs. 6690 in 3 years and Rs. 10035 in 6 years at compound interest (interest being compounded annually). The sum is

(1) 4400 (2) 4445 (3) 4460 (4) 4520

30. A sum of money placed at compound interest doubles itself in 4 yrs. In how many years will it amount to eight times itself?


31. A sum of money at compound interest amounts to thrice itself in three years. In how many years will it be 9 times itself?


32. If the amount is 2¼ times of the sum after 2 years at compound interest, the rate of interest per annum is

(1) 30% (2) 40% (3) 25% (4) 50%

33. If the amount is 833

times of sum after 3 years at compound interest, Rate of interest per annum is

(1) 30% (2) 40% (3) 25% (4) 50%

34. A sum of money deposited at compound interest doubles itself in 4 years. It will amount to sixteen times at the same rate in


35. A sum of 4000 deposited at compound interest doubles itself in 5 years. What will amount to after 25 year at same rate?

(1) 64000 (2) 128000 (3) 246000 (4) 256000

36. At what rate per cent compound interest does a sum of money become nine-fold in 2 years?

(1) 200% (2) 300% (3) 250% (4) 150%

37. A sum is invested at compound interested payable annually. The interest after first year after was 80 Rs. And second year after was 170 Rs. The rate is

(1) 10% (2) 14% (3) 12.5% (4) 15%

38. A sum is invested at compound invested payable annually. The interest in two successive years was Rs. 500 and Rs. 540. The sum is :

(1) 5000 (2) 3750 (3) 5600 (4) 6250

39. A sum of Rs 5300 was taken as a loan. This is to be repaid in two equal installments. If the rate of interest be 12% compounded annually, the value of each installments is :

(1) 3150 (2) 3248 (3) 3136 (4) 3345

40. A loan was repaid in two installments of Rs 1210 each. If the rate of interest be 10% per annum compounded annually, the sum borrowed was:

70


(1) 2100 (2) 2000 (3) 2178 (4) 2800

41. A man borrows Rs 3000 at 10% compound rate of interest. At the end of each year he pays back Rs 1000. How much amount should he pay at the end of the third year to clear all his dues?

(1) 1294 (2) 1393 (3) 1495 (4) 1193

42. Rs 4800 becomes Rs 6000 in 4 years at a certain rate of compound interest. What will be the sum after 12 years?

(1) 9435 (2) 9275 (3) 8375 (4) 9375

answer key1. (3) 2. (3) 3. (2) 4. (3) 5. (3)6. (2) 7. (3) 8. (3) 9. (1) 10. (2)11. (3) 12. (2) 13. (4) 14. (1) 15. (3)16. (2) 17. (1) 18. (3) 19. (4) 20. (4)21. (3) 22. (1) 23. (3) 24. (1) 25. (3)26. (2) 27. (4) 28. (2) 29. (3) 30. (1)31. (4) 32. (4) 33. (4) 34. (2) 35. (2)36. (1) 37. (3) 38. (4) 39. (3) 40. (1)41. (2) 42. (4)

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compound interest LeVeL -2

1. Whet would be the compound interest obtained on an amount of Rs. 2,000/- at the rate of 15 p.c.p.a. after 3 years ?

(1) Rs. 1141.75 (2) Rs. 1209.70 (3) Rs. 1041.95 (4) Rs. 1248.95 (5) None of these

2. What will be the compound interest accrued on a principle amount of Rs 50,670/- at the rate of 6 p.c.p.a. after a period of 2 years ?

(1) Rs. 6,252.812/- (2) Rs. 6,282.812/- (3) Rs. 6,262.8121/- (4) Rs. 6,226.812/- (5) None of these

3. Mr. Sharma invested an amount of Rs. 25,000/- in fixed deposit @ compound interest 8 p.c.p.a. for two years. What amount Mr. Sharma will get on maturity ?

(1) Rs. 28,540/- (2) Rs. 29,160/- (3) Rs. 29,240/- (4) Rs. 28,240/- (5) None of these

4. How much will be the compound interest to be paid on a principle amount of Rs. 53,000/- after 2 years at the rate of 4 p.c.p.a.


5. What would be the compound interest obtained on an amount of Rs 8800/- at the rate of 16 p. c. p. a. after 2 years?


6. If S.I. for a certain sum of money at 10% per annum for 2 years is Rs. 200, then the C.I. for the same sum of money in the same period will be:

(1) 300 (2) 210 ( 3 ) 2 4 0 (4) 220

7. If C.I. for a certain sum of money at 10% per annum for 2 years is Rs. 4410, then the S.I. for same sum of money in the same period will be:

(1) 4300 (2) 4200 (3) 4400 (4) 4000

8. The compound interest on a certain sum of money for 2 years is Rs. 52 and the S.I. for two years at

the same rate is Rs. 50. The rate % is (1) 6% (2) 8 (3) 12.5% (4) none

9. If the simple interest on a sum of money at 5% per annum for 3 years is Rs. 1200, then the compound interest on the same sum for the same period at the same rate (in rupees) is

(1) 1260 (2) 1261 (3) 1264 (4) 1265

10. If the C. I. on a sum of money at 10% per annum for 3 years is Rs. 3310, then the S. I. on the same sum for the same period at the same rate is.

(1) 3100 (2) 3000 (3) 3240 (4) 3200

11. A sum of money is lent out at compound interest rate of 20% per annum for 2 years. It would fetch Rs 482 more if interest is compounded half-yearly. Find the sum.

(1) (2) (3) (4) 20,000

12. The compound interest on a certain sum of money for 2 years at 10% per annum is Rs 420. Find the simple interest at the same rate and for the same time.

(1) 500 (2) 400 (3) 700 (4) 600

13. If the CI on a certain sum for 2 yrs at 3% be Rs 101.50, what would be the SI?

(1) 250 (2) 400 (3) 500 (4) 100

14. If the simple interest on a certain sum of money for 3 yrs at 5% is Rs 150, find the corresponding CI.

(1) 160.225 (2) 178.542 (3) 157.625 (4) 154.265

15. Find the compound interest on Rs 10000 for 3 years if the rate of interest is 4% for the first year, 5% for the second year and 6% for the third year.

(1) 1575.20 (2) 1675.25 (3) 1475.53 (4) 1385.54

16. The difference between the simple and the compound interests on a certain sum of money for 2yrs at 4% per annum is Re 1. Find the sum.

(1) 725 (2) 625 (3) 825 (4) 925

17. If the difference between CI and SI on a certain

72


sum of money for 3yrs at 5% p.a. is Rs 122, find the sum.

(1) 16,000 (2) 17,000 (3) 15,000 (4) 17,500

answer key1. (5) 2. (3) 3. (2) 4. (1) 5. (4)6. (2) 7. (2) 8. (2) 9. (2) 10. (2)11. (4) 12. (2) 13. (4) 14. (3) 15. (1)16. (2) 17. (1)

73


compound interest LeVeL -3

1. ` 8000 in borrowed at compound interest at the rate of 4% per annum. What will be the amount to be paid after two years?

(1) ` 8652.8 (2) ` 8562.8 (3) ` 8265.8 (4) ` 8650.8

2. Ravi invested an amount ` 10,000 at compound rate of 10 percent per annum for a period of three years. How much amount will Ravi get after three 3 years?

(1) ` 13210 (2) ` 13310 (3) ` 12410 (4) ` 18510

3. Murlee invested an amount of ̀ 2,000 at compound interest rate of 5 percent per annum for a period of four years. Approximately how much amount will Murlee get after 4 yrs?

(1) `14700 (2) ` 14,600 (3) ` 14,500 (4) ` 14586

4. ` 9000 is borrowed at C.I at the rate of 6% per annum. What will be the amount to be paid after 1 year if interest is compound half yearly?

(1) ` 9448 (2) ` 9548.10 (3) ` 9648.10 (4) ` 9748.10

5. ` 11,000 is borrowed at C.I at the rate of 24% per annum. What will be the approximate amount to be paid after 1 year? It is given that interest is compound quarterly.

(1) ` 15150 (2) ` 14150 (3) ` 13150 (4) ` 12150

6. ` 13,000 is borrowed at C.I. at the rate of 2% for the first year, 4% for the second year and 5% for the third year. What would be the amount to be paid after three years?

(1) ` 13479.92 (2) ` 13749.92 (3) ` 15000 (4) ̀ 14479.92

7. At what rate percent per annum will ` 1000 amount to ` 1331 in 3 years when interest is compound yearly?

(1) 8% (2) 10% (3) 12% (4) 14%

8. What would be the amount of ` 10,000 at compound interest in 2½ years at 10 percent?

(1) ` 12810 (2) ` 12510 (3) ` 12710 (4) ` 12910

9 A sum of money placed at compound interest doubles itself in 4 years. In how many years will it amount to eight times itself?

(1) 8 yrs. (2) 9 yrs. (3) 12 yrs. (4) 16 yrs

10 At what rate percent compound interest does a sum of money becomes nine fold in two years?

(1) 100% (2) 200% (3) 300% (4) 400%

11 If the compound interest on a sum for 2 years at 3% be ̀ 730.80.What would be the simple interest?

(1) ` 700 (2) ` 705 (3) ` 710 (4) ` 720

12 The simple interest on a certain sum of money for 2 years at 12% per annum is ` 3120. What would be the compound interest at the same rate and for the same time?

(1) ` 3507.80 (2) ` 3407.20 (3) ` 3207.20 (4) ` 3307.20

13 The compound interest on certain sum for 2 years is ̀ 376.20 and simple interest is ̀ 360. What is the sum?

(1) ` 2000 (2) ` 2100 (3) ` 2200 (4) ` 2300

14 the simple interest on a certain sum for two years at the rate of 5% per annum is ̀ 160. What would be the difference of compound interest and simple interest for the same period and at the same rate of interest?

(1) ` 3 (2) ` 4 (3) ` 5 (4) ` 4.5

15 The difference between the compound interest and the simple interest on a certain sum of money at 6% per annum for 2 years is ` 6.48. What is the sum?

(1) ` 1600 (2) ` 1648 (3) ` 1800 (4) ` 1900

16 What would be the difference between the compound interest and the simple interest for the sum ` 1900 at 11% per annum of 2 years?

(1) ` 23 (2) ` 24 (3) ` 22 (4) ` 22.99

17 The difference between compound interest and simple interest on a certain sum of money for 3 years at 10 % per annum is ` 806. What is that sum?

(1) ` 25000 (2) ` 26000 (3) ` 27000 (4) ` 26500

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18. What would be the difference between compound interest and simple interest for 3 years at 8% per annum for a sum of ` 9000?

(1) ` 177.408 (2) ` 178.40 (3) ` 179.40 (4) ` 180

19. An amount of money grows upto ` 31,944 in 3 years and upto ̀ 35,138.40 in 4 years on compound interest. What is the rate percent?

(1) 8% (2) 9% (3) 10% (4) 11%

20. An amount of money grows upto ‘86,400 in 2 years and upto ̀ 103,680 in 3 years on compound interest. What is the sum?

(1) ` 50.000 (2) ` 58,000 (3) ` 60,000 (4) ` 61,000

21. ` 4000 becomes ` 5000 in 4 years at a certain rate of compound interest. What will be the sum at the end of 12 years?

(1) ` 7812.50 (2) ` 7712.50 (3) ` 7612.50 (4) ` 7512.50

22 What would be the compound interest on ̀ 10,000 for three years if the rate of interest is 5% for the first year, 6% for the second year and 7% for the third year?

(1) ` 1809.10 (2) ` 1909.10 (3) ` 1919.10 (4) ` 1900.10

23 what sum of money at compound interest will be the total compound interest amount to ` 2249.36 in 3 years it the rate of interest is 6% for the first year. 7% for the second year and 8% for the third year?

(1) ` 9,000 (2) ` 10,000 (3) ` 11,000 (4) ` 12,000

24 A man borrows ` 6000 at 10% compound rate of interest. At the end of each he pays back ` 2000. How much amount should he pay at the end of the third year to clear all his dues?

(1) ` 3360 (2) ` 3366 (3) ` 1366 (4) ` 4366

25 Divide ̀ 20,816 between A and B, so that A’s share at the end of 7 years may equal B’s share at the end of 9 years compound interest being 4%.

(1) ` 10,716 ` 10,000 (2) ` 10,616 ` 10,200 (3) ` 10,816 ` 10,000 (4) ` 10,800 ` 10,016

26 A man borrowed ` 1100 at 6 percent per annum compound interest. He pays equal annual

repayment of ̀ x and clear off his debts in 3 years. What is the value of x approximately?

(1) ` 409.52 (2) ` 410.52 (3) ` 408.52 (4) ` 411.52

27. What is compound interest accrued on amount of ` 45,000 in two years at 9 p.c.p.a.?

(1) ` 8,600 (2) ` 8.565.40 (3) ` 8.464.50 (4) ` 8,540 (5) None of these

28 What will be the difference between the compound interest and the simple interest at the rate of 5 p.c.p.a. on an amount of ` 4,000 at the end of two years?

(1) ` 10 (2) ` 20 (3) ` 25 (4) date inadequate (5) None of these

29 Mr. Sharma invested an amount of ` 25,000 in fixed deposit at compound interest 8 p.c.p.a. for two years. What amount Mr. Sharma will get on maturity?

(1) ` 28,540 (2) ` 29,160 (3) ` 29,240 (4) ` 28,240 (5) None of these

30. A sum of money fetches ` 408 as compound interest at the rate of 4 p.c.p.a. at the end of two years. What is the sum?

(1) ` 6,000 (2) ` 5,0000 (3) ` 4,000 (4) Can’t be determined (5) none of these

31. What will be the compound interest earned on an amount of ` 12000 at 10 p.c.p.a. in two years?

(1) ` 2,400 (2) ` 2,420 (3) ` 2,500 (4) ` 2,540 (5) None of these

32. What will be compound interest on a sum of ` 1000 at the rate of 10 p.c.p.a. after 5 years?

(1) ` 610.51 (2) ` 559.45 (3) ` 665.50 (4) ` 665.51 (5) None of these

33. Difference between the compound interest and simple interest accrued in two years at 8 p.c.p.a. is ` 128. What is the principal amount?


34. A certain sum, invested at 4% per annum at compound interest compound half-yearly, amounts to ` 7,803 at the end of one year. The sum is

(1) ` 7,000 (2) ` 7,200 (3) ` 7,500 (4) ` 7,700

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(5) None of these

35. The difference between compound and simple interest on a certain sum for 3 years at 5% per annum is ` 122, The sum is

(1) ` 16,000 (2) ` 15,000 (3) ` 12,000 (4) ` 10,000 (5) None of these

36 A certain sum amount to ` 5,832 in 2 years at 8% per annum at compound interest, the sum is

(1) ` 5,000 (2) ` 5,200 (3) ` 5,280 (4) ` 5,400 (5) None of these

37. The compound interest on a certain sum of money at 5% per annum for 2 years is Rs.246. The simple interest on the same sum of 3 years at 6% per annum is:

(1) ` 435 (2) ` 450 (3) ` 430 (4) ` 432 (5) None of these

38. A sum of money become ` 4500 after two years and ` 6750 after 4 years compounded annually. The sum is:-

(1) ` 4000 (2) ` 2500 (3) ` 3000 (4) ` 3050 (5) None of these

39 At what rate percent per annum will ̀ 2304 amount to `2500 in 2 years compounded annually?

(1) 4½% (2) 4 % (3) 4 % (4) 4 % (5) None of these

40. The difference between simple and compound interest on a certain sum of money for 2 years at 4 percent annum, is ` 1. The sum of money is

(1) ` 600 (2) ` 625 (3) ` 560 (4) ` 650 (5) None of these

41. A sum of money invested at compound interest doubles itself in 6 years. At the same rate of interest it. will amount to eight times of itself in-

(1) 15 years (2) 12 years (3) 18 years (4) 10 years (5) None of these

42. If the amount is 2.25 times of the sum after 2 years at compound interest (compounded annually), the rate of interest per annum is

(1) 35% (2) 30% (3) 45% (4) 50% (5) None of these

43. At what rate per annum will ` 32,000 Yield a compound interest of ` 5044 in 9 months interest

being compounded quarterly? (1) 20% (2) 32% (3) 50% (4) 80% (5) None of these

44. The difference between simple and money at 4% per annum for 2 years is ` 8. The sum is

(1) ` 400 (2) ` 800 (3) ` 4,000 (4) ` 5,000 (5) None of these

45. A sum of money becomes eight times of itself in 3 years at compound interest. The rate of interest per annum is

(1) 100% (2) 80% (3) 20% (4) 10% (5) None of these

46. If the compound interest on a sum of 2 years at 12 ½% per annum is ` 510, the simple interest on the same sum at the same rate for the same period of time is

(1) ` 400 (2) ` 480 (3) ` 450 (4) ` 460 (5) None of these

47. Find the amount of ` 6400 in 1 year 6 months at 5 p.c.p.a. compound interest, interest being calculated half-yearly.

(1) ` 6792.50 (2) ` 6892.10 (3) ` 6882.50 (4) ` 6895.10 (5) None of these

48 Find the compound interest on ` 10,000 in 9 months at 4 p.c.p.p.a. interest payable quarterly

(1) ` 303.01 (2) ` 304.02 (3) ` 304.05 (4) ` 305.04 (5) None of these

49 I give a certain Person ` 8000 at simple interest for 3 years at % how much more should I have gained had I given it at compound interest?

(1) ` 128.48 (2) ` 136.45 (3) ` 138.38 (4) ` 138.48 (5) ` 137.37

50 A merchant commences with a certain capital and gains annually at the rate of 25 p.c. If at the end of 3 years he has ` 10,000. What was his original capital?

(1) ` 5120 (2) ` 5230 (3) ` 5340 (4) ` 5550 (5) None of these

51. At what rate percent compound interest does a

sum of money become times itself in 2 years? (1) 20% (2) 30% (3) 40% (4) 50% (5) None of these

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52. The simple interest on a certain sum of money for 4 years at 4 percent per annum exceeds the compound interest on the same sum of 3 years at 5 percent per annum by ` 57. Find the sum

(1) ` 24,000 (2) ` 26,000 (3) ` 28,000 (4) ` 30.000 (5) None of these

53. A sum of money at compound interest amounts in two years to ` 2809, and in three years to ` 2977.54. Find the rate of interest and the original sum.

(1) Rate 4%, Original sum ` 1500 (2) Rate 5%, Original sum ` 2000 (3) Rate 6%, Original sum ` 2500 (4) Rate 8%, Original sum ` 3000 (5) None of these

54. A sum of ̀ 13,360 was borrowed at 8¾ per annum compound interest and paid back in two years in two equal annual installments. What was the amount of each installment?

(1) ` 5,729 (2) ` 7,569 (3) ` 7,009 (4) ` 7,500 (5) None of these

55. Compound interest of a sum of money for 2 years at 4% per annum is ` 2,448. Simple interest of the same sum of money at the same rate of interest for 2 years will be

(1) ` 2,500 (2) ` 2,400 (3) ` 2,360

(4) ` 2,250 (5) None of these

56. The difference between compound interest and simple interest of a sum for 2 years at 8% is ‘ 768. The sum is

(1) ` 1,00,000 (2) ` 1,10,000 (3) ` 1,20,000 (4) ` 1,70,000 (5) None of these

57. Find the present value of ̀ 4913 due 3 years hence at 6¼% per annum at compound interest. ( 1 ) ` 4096 (2) ` 4296 (3) ` 4568

(4) ` 4896 (5) None of these

58. What will be the difference between simple and compound interest at 10% per annum on the sum of ` 1000 after four years?

(1) ` 40.40 (2) ` 64.10 (3) ` 31 (4) ` 32.10 (5) None of these

59. What would be the compound interest accrued

on an amount of ` 8,400 at the rate of 12.5 p.c.p.a. at the end of 3 years? (Rounded off to two digits after decimal)

(1) ` 4205.62 (2) ` 2584.16 (3) ` 3560.1 (4) ` 2820. 14 (5) None of these

60. In what time will ` 1200 amount to ` 1323 at 5 p.c.p.a compound interest?

(1) 2 years (2) 3 years (3) 4 years (4) 1.5 year (5) none of these

61. In what time will ` 390625 amount to ` 456976 at 4% compound interest?

(1) 2 years (2) 4 years (3) 3 years

(4) 5 years (5) None of these

62. At what rate percent compound interest does a sum of money becomes nine-fold in 2 years?

(1) 200% (2) 210% (3) 2205 (4) 230% (5) None of these

63. The compound interest on a certain sum is ` 104 for 2 years and Simple interest is ` 100. What is the rate percent?

(1) 4% (2) 6% (3) 8% (4) 10% (6) None of these

64. What sum of money at compound interest will amount ̀ 2249.52. in 3 years, if the rate of interest is 3% for the first years, 4% for the second year, and 5% for the third year?

(1) ` 1500 (2) ` 1600 (3) ` 1800 (4) ` 2000 (5) None of these

65. A sum of money is lent out at compound interest rate of 20% per annum for 2 years. It would fetch ` 482 more if interest is compounded half-yearly. Find the sum.

(1) ` 20,000 (2) ` 22,000 (3) ` 24,000 (2) Can’t be determined (5) None of these

66. The ratio of difference between compound interest and simple interest for 3 years. to the difference between compound interest and simple interest for 2 years 10: 6. What is the rate percent per annum?

(1) 10% (2) 16 % (3) 12% (4) 15% (5) None of these

67. A man with a sum of ` 2602/- wants to deposit

77


this sum into the bank in the account of his two sons so that both will get equal money after 5 years. and 7 years. Respectively at the rate of 4% compounded annually. Find the part of amount deposited into the account of first son.

(1) ` 1352 (2) ` 1200 (3) ` 1500 (4) ` 1301 (5) None of these

68 A man deposited ` 3,90.300 into the account of his two sons such that they will get equal money at their 18th birthday. Their ages today are 15 years. and 13 years. Rate of interest is 4% per annum. Find the money deposited in their account.

(1) ` 130100, ` 260200 (2) ` 202000, ` 188300 (3) ` 152000, ` 238300 (4) ` 202800, ` 187500

69 A certain sum is lent for 3 years at p.a. compound interest If the C.I. for the 3rd year is ̀ 24,50/- then what will be the simple interest of 5 years?

(1) ` 90 (2) ` 60 (3) ` 45 (4) ` 120 (5) None of these

70 At what rate per annum ‘32000 will give an interest of 5044/- in a time period of 9 months when the interest is compounded quarterly?

(1) 20% (2) 25% (3) 30% (4) 10% (5) None of these

71. A person earns a profit of 25% on a certain sum. If the has an amount of ̀ 10,000 after 3 years then what was his initial sum?

(1) ` 5120 (2) ` 6150 (3) ` 5500 (4) ` 5220 (5) None of these

72. The simple interest on a sum at 4% p.a. for 4 years. Is ` 57/- more when the same sum is lent at 5% p.a. at C.I. for 3 years. Find the sum.

(1) ` 22000 (2) ̀ 24000 (3) ̀ 25000 (4) ` 20000 (5) None of these

73. What will be the difference between compound interest on sum of ` 5000 for years when the interest are compounded annually and half yearly respectively?

(1) 2.04 (2) 2.05 (3) 3.00 (4) 2.50 (5) None of these

answer key

1. (1) 2. (2) 3. (4) 4. (2) 5. (1)6. (4) 7. (2) 8. (3) 9. (3) 10. (2)11. (4) 12. (4) 13. (1) 14. (2) 15. (3)16. (4) 17. (2) 18. (1) 19. (3) 20. (3)21. (1) 22. (2) 23. (2) 24. (2) 25. (3)26. (4) 27. (3) 28. (1) 29. (2) 30. (2)31. (5) 32. (1) 33. (3) 34. (3) 35. (1)36. (1) 37. (4) 38. (3) 39. (3) 40. (2)41. (3) 42. (4) 43. (1) 44. (4) 45. (1)46. (2) 47. (2) 48. (1) 49. (3) 50. (1)51. (4) 52. (1) 53. (3) 54. (2) 55. (2)56. (3) 57. (1) 58. (2) 59. (3) 60. (1)61. (2) 62. (1) 63. (3) 64. (4) 65. (1)66. (2) 67. (1) 68. (4) 69. (1) 70. (1)71. (1) 72. (2) 73. (5)

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10 average

1. The average of 9 consecutive natural numbers is 18. The highest of these numbers will be

(1) 24 (2) 18 (3) 20 (4) 22

2. The average of 7 consecutive even numbers is 30. The highest of these numbers will be

(1) 24 (2) 34 (3) 36 (4) 22

3. The average of 8 consecutive even numbers is 19. The highest of these numbers will be

(1) 24 (2) 18 (3) 26 (4) 22

4. The average of 9 consecutive odd numbers is 25. The highest of these numbers will be

(1) 25 (2) 35 (3) 21 (4) 33

5. The average of 6 consecutive odd numbers is 30. The highest of these numbers will be

(1) 25 (2) 35 (3) 37 (4) 27

6. The average of first 100 natural numbers is: (1) 50 (2) 51 (3) 50.5 (4) 51.5

7. 1+2+3+4+…………..+50 = (1) 1200 (2) 1275 (3) 1500 (4) 1575

8. 2+4+6+8+…………..+50= (1) 600 (2) 650 (3) 1275 (4) 700

9. 1+3+5+7+…………..+49= (1) 600 (2) 650 (3) 625 (4) 700

10. The average of first 50 even numbers is: (1) 50 (2) 51 (3) 52 (4) 25.5

11. The average of all odd numbers up to 100 is: (1) 51 (2) 50 (3) 49.5 (4) 49

12. The average of first 9 multiples of 3 is: (1) 12 (2) 12.5 (3) 15 (4) 18.5

13. The sum of first 11 multiples of 9 is: (1) 605 (2) 594 (3) 600 (4) 185

14. The average of numbers 15,5,0,12,8 is (1) 8 (2) 8.5 (3) 10 (4) 15

15. If the average of 40,10,25,20,35,x is 25 then the value of x is: (1) 20 (2) 25 (3) 30 (4) 35

LeVeL - 1

16. The average of five numbers is 339. The average of the first and the second number is 149.5. The average of the fourth and the fifth number is 533. What is the third number?

(1) 360 (2) 330 (3) 361 (4) 331 (5) None

17. The sum of five consecutive odd numbers is equal to 245. What is the difference between twice the largest odd number and the smallest odd number ?

(1) 63 (2) 71 (3) 51 (4) 65 (5) None of these

18. Sum of five consecutive even numbers is 380. What is the second number in ascending order?

(1) 76 (2) 78 (3) 74 (4) 72 (5) None of these

19. The sum of five consecutive even numbers is equal to 230. What is the sum of the largest number amongst them and the square of the smallest number amongst them ?

(1) 1684 (2) 1464 ((3) 1784 (4) 1844 (5) None of these

20. The average age of 24 boys and their teacher is 15 years. When the teacher’s age is excluded the average age decreased by 1 year. The age of the teacher is


21. The average weight of 19 students is 15kg. By the admission of a new student the average weight is reduced to 14.8kg. The weight of new student is:

(1) 10.6kg (2) 10.8 kg (3) 11 kg (4)14.9kg

22. The average of 30 numbers is 20. If two numbers, namely 38 and 30 are discarded then the average of the remaining numbers is .

(1) 20 (2) 19 (3) 21 (4) 22

23. The average of 20 numbers is 25. If two numbers, namely 44 and 42 are discarded then the average of the remaining numbers is .

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(1) 20 (2) 23 (3) 21 (4) 22

24. The average weight of 8 men is increased by 1.5 kg when one of the men who weight 65 kg is replaced by a new man. The weight of the new man is:

(1) 70kg (2) 74kg (3) 76kg (4) 77kg

25. The average weight of 8 persons is increased by 2.5 kg when one of them whose weight is 56 kg is replaced by a new man. The weight of new man is:

(1) 66 kg (2) 75 kg (3) 76 kg (4) 86 kg

26. The average age of 8 persons in a committee is increased by 2 years when two men aged 35 years and 45 years are substituted by two women. The average age of these two women is


27. The mean of 100 items was found to be 30. If at the time of calculation two items were wrongly taken as 32 and 12 instead of 23 and 11, correct mean is:

(1) 29.4 (2) 29.5 (3) 29.8 (4) 29.9

28. The mean of 30 items was found to be 20. If at the time of calculation two items were wrongly taken as 26 and 43 instead of 66 and 33, correct mean is:

(1) 18 (2) 21 (3) 20 (4) 19

29. Average of 15 numbers is 20. Out of them the average of first 8 numbers is 21 and the average of last 8 numbers is 18. The middle number is:

(1) 21 (2) 22 (3) 23 (4) 12


(1) 21 (2) 22 (3) 36 (4) 24


(1) 15 (2) 12 (3) 13 (4) 14


(1) 12 (2) 15 (3) 13 (4) 26

33. A batsman makes a score of 98 runs in the 19th inning and thus increases his average by 4. What

is his average after 19th inning? (1) 22 (2) 24 (3) 26 (4) 28

34. A batsman has a certain average runs for 11 innings. In the 12th inning, he made a score of 90 runs and thereby decreased his average by 5.his average after 12th inning is:

(1) 127 (2) 145 (3) 150 (4) 217

35. Six persons went to a hotel for taking their meals. Five of them spent 32 each on their meals while 6th person spent 80 more than average expenditure of all the six. Total money spent by all the persons is:

(1) Rs. 192 (2) Rs. 240 (3) Rs. 288 (4) Rs. 336

36. 8 persons went to a hotel for taking their meals. Seven of them spent 50 each on their meals while 8th person spent 70 more than average expenditure of all the Eight. Total money spent by all the persons is:

(1) Rs. 500 (2) Rs. 480 (3) Rs. 470 (4) Rs. 400

37. The average amount of A, B, C was 30 and that of B, C, D was 35. If A was 32, what was the D on ?

(1) 40 (2) 49 (3) 48 (4) 47

38. 3 years ago average age of A,B & C was 32 years. 4 years from now the average age of A & C will be 32 Years. What is the present age of B?

(1) 40 (2) 49 (3) 48 (4) 47

39. The average temperature of Monday, Tuesday, Wednesday and Thursday was 380 C and that of Tuesday, Wednesday, Thursday and Friday was 40 0 C. If the temperature on Monday was 300 C, what was the temperature on Friday?

(1) 400 C (2) 390 C (3) 380 C (4) 300 C

40. The average of 5 consecutive natural numbers is n. If the next two numbers are also included, the average of seven numbers will:

(1) Increases by 2 (2) Increase by 1 (3) Remain the same (4) Increase by 1.4

41. The average of five consecutive natural numbers is m. If the next three natural numbers are also included, how much more than m will the average of these 8 numbers be?

(1) 1 (2) 1.5 (3) 1.4 (4) 2

42. The average of marks scored by 250 students of a class is 54. The average of marks of the girls in

80


the class is 80 and that of boys is 30. What is the no of boys in the class?

(1) 140 (2) 120 (3) 130 (4) 125

43. The average of marks scored by the students of a class is 68. The average of marks of the girls on the class is 80 and that of boys is 60. What is the percentage of boys in the class?

(1) 40% (2) 60% (3) 65% (4) 70%

44. There were 35 students in a hostel. If the number of students be increased by 7, the expenditure on food increases by Rs. 42 per day while the average expenditure of students is reduced by Rs.1. What was the initial expenditure on food per day?

(1) Rs. 432 (2) Rs. 442 (3) Rs. 420 (4) Rs. 400

45. There were 50 students in a hostel. If the number of students be increased by 10, the expenditure on food increases by Rs. 100 per day while the average expenditure of students is reduced by Re.1. What was the initial expenditure on food per day?

(1) 1100 (2) 800 (3) 850 (4) 550

46. A man whose bowling average is 24 takes 4 wickets for 40 runs and thereby decreases his average by 1. The number of wickets taken by him before his last match is?

(1) 56 (2) 58 (3) 52 (4) 50

47. A man whose bowling average is 12.4 takes 5 wickets for 26 runs and thereby decreases his average by 0.4. The number of wickets taken by him till his last match is.

(1) 85 (2) 78 (3) 72 (4) 90

answer key1. (4) 2. (3) 3. (3) 4. (4) 5. (2)6. (3) 7. (2) 8. (2) 9. (3) 10. (2)11. (2) 12. (3) 13. (2) 14. (1) 15. (1)16. (2) 17. (5) 18. (3) 19. (5) 20. (2)21. (3) 22. (2) 23. (2) 24. (4) 25. (3)26. (1) 27. (4) 28. (2) 29. (4) 30. (3)31. (4) 32. (4) 33. (3) 34. (2) 35. (2)36. (3) 37. (4) 38. (2) 39. (3) 40. (2)41. (2) 42. (3) 43. (2) 44. (3) 45. (2)46. (3) 47. (4)

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average LeVeL-2

1. The body weight of seven students of a class is recorded as 54 Kgs., 78 Kgs., 43 Kgs., 82 Kgs., 67 Kgs., 42 Kgs. and 75 Kgs. What is the average body weight of all the seven students ?

(1) 69 Kgs. (2) 63 Kgs. (3) 71 Kgs. (4) 73 Kgs: (5) None of these

2. The average of five numbers is 57.8. The average of the first and the second numbers is 77.5 and the average of the fourth and fifth numbers is 46. What is the third number ?

(1) 45 (2) 43 (3) 42 (4) (5)

3. The average of four consecutive even numbers P, Q, R and S respectively is 55. What is the product of Q & S?

(1) 3123 (2) 3135 (3) 3132 (4) 3125 (5) None of these

4. The average speed of a bus is 2½ times the average speed of a tractor. The tractor covers 336 kms. in 21 hours. How much distance will the bus cover in 12 hours ?

(1) 380 kms. (2) 440 kms. (3) 360 kms. (4) 460 kms. (5) None of these

5. The sum of five consecutive odd numbers is equal to 125. What is the sum of the product of the largest and the smallest numbers and the second largest number ?

(1) 512 (2) 535 (3) 634 (4) 636 (5) None of these

6. 51+52+53+54+……….+100= (1) 3700 (2) 3775 (3) 3800 (4) 3500

7. 52+54+56+………..100= (1) 1800 (2) 1900 (3) 1875 (4) 2000

8. 51+53+55+…………..99= (1) 1725 (2) 1875 (3) 1900 (4) 2000

9. 4+8+12+…………………80= (1) 800 (2) 840 (3) 900 (4) 850

10. The mean of five numbers is 18. If one number is excluded their mean is 16. The excluded number is:

(1) 25 (2) 26 (3) 27 (4) 30

11. The average of 6 numbers is 30. If the average of first four is 25 and that of last three is 35, the fourth number is:

(1) 25 (2) 30 (3) 35 (4) 40

12. The average of 100 numbers is 44. The average of these 100 numbers and four other new numbers is 50. The average of the four new numbers will be

(1) 800 (2) 200 (3) 176 (4) 24

13. Out of three numbers the first is twice the second and is half of the third. If the average of three numbers is 56, the difference of first and third numbers is:

(1) 12 (2) 20 (3) 24 (4) 48

14. The average age of 40 students of a class is 15 years. When 10 new students are admitted, the average age is increased by 0.2 years. The average age of the new students is:

(1) 15.2 yrs (2) 16 yrs (3) 16.2 yrs (4) 16.4 yrs

15. A train moves with a speed of 30km/hr for 12 minutes and for next 8 minutes at a speed of 45km/hr. The average speed of the train is:

(1) 37.5 km/hr (2) 36 km/hr (3) 48 km/hr (4) 30 km/hr

16. Out of the four numbers, the average of first three is 15 and that of the last three is 16. If the last number is 19, the first one is:

(1) 15 (2) 16 (3) 18 (4) 19

17. The average age of three boys is 16 years. If their ages are in the ratio 4:5:7, then the age of youngest boy is:

(1) 8 yrs (2) 9 yrs (3) 12 yrs

82


(4) 16 yrs

18. Average age of 6 sons of a family is 8 years. Average age of the sons together with their parents is 22 years. If the father is older than the mother by 8 years, then the age of the mother is

(1) 44 yrs (2) 52 yrs (3) 60 yrs (4) 68 yrs

19. Average of two numbers is 6.5 and square root of their product is 6. What are the numbers?

(1) 3 and 5 (2) 9 and 4 (3) 10 and 3 (4) 11 and 2

20. The average of 8 numbers is 20, that of the first two is 15.5 and that of the next three is 64/3 the 6th is less than the 7th by 4 and 7 less than the eighth. The last number is:

(1) 25 (2) 28 (3) 32 (4) 35

21. A person divides his total route of journey into three equal parts and decides to travel the three parts with speeds of 40, 30 and 15 km/ hr respectively. Find his average speed during the whole journey.

(1) 24 (2) 26 (3) 32 (4) 25

22. In an examination, a batch of 60 students made an average score of 55 and another batch of 40 made it only 45. What is the overall average score?

(1) 52 (2) 40n (3) 51 (4) 56

23. 5 years ago the average age of A, B, C and D was 45. With E joining them now, the average age of all the five is 49 years. How old is E?

(1) 65 yrs (2) 25 yrs (3) 40 yrs (4) 45 yrs

24. Aman had seven children. When their average age was 12 years a child aged 6 years died. The average age of the remaining 6 children is


25. The average of x, y and z is 45. x is as much more than the average as y is less than average. Find the value of z.

(1) 45 (2) 25 (3) 35 (4) 15

26. The average salary per head of all the workers in a company is Rs. 95. The average salary of 15 officers is Rs. 525 and the average salary per head of rest of Rs. 85. Find the total number of workers

in the workshop. (1) 660 (2) 580 (3) 650 (4) 460

27. In a bag, there are 50 coins of Re 1, 50 p and 25 p denominations. If the total value of coins is Rs. 28, then find how many rupees can be constituted by 50 p coins.

(1) 16 (2) 20 (3) 28 (4) Cannot be determined

28. The average weight of a class of 20 students is 45 kgs. A new student whose weight is 40 kgs replaces and old student and now the average of whole class decrease by 1 kg. The weight of the replaced student is :

(1) 55 kgs (2) 50 kgs (3) 60 kgs (4) none of these

29. The average length of first 3 fingers is 3 inches and the average length of the other 2 fingers i.e., thumb and the index fingers is 3 inches then the length of the thumb is:

(1) 2 inches (2) 2.6 inches (3) 3 inches (4) none of these

30. Three type of rice whose rates are Rs. 38 Rs. 43 and Rs. 49 per kg are blended together to make a 15 kg of new blend of rice in which there are 8 kgs 4 kgs 3 kgs of the respective types of rice. The average price of the new blend of rice is:

(1) Rs. 41.53 (2) Rs. 43 (3) Rs. 40 (4) Rs. 43.3

31. The cost of the Red, Green and blue colours per kg is Rs. 20, Rs. 15 and Rs. 18 respectively. Rang mahal is a renowned building in which these three colours are being used in the ratio of 3:2:4. The average cost of all the three colours used per kg is :

(1) 18 (2) 20 (3) 17.66 (4) can’t be determined

32. Mahesh earns 3/2 times in January, April, July and October than his average earning of Rs. 600 per month in the rest of the months. So his savings in the January, April July and October goes to 5/4 times that of the rest months saving of Rs. 400 per month in the year. The average expenditure of per months is :

(1) Rs. 266.66 (2) Rs. 250

83


(3) Rs. 233.33 (4) Rs. 433.33

33. The average of 3 prime number lying between 47 and 74 is 191/3. The greatest possible difference between any two out of the 3 prime numbers is:

(1) 12 (2) 14 (3) 18 (4) can’t be determined

34. The average of 9 numbers is 11. If each of these 9 numbers is multiplied by 5 and then 5 is added to each of these resultant numbers then the new average is:

(1) 20 (2) 30 (3) 60 (4) 50

35. In a village the average age of n peoples 42 years. But after the verification it was found that the age of a person had been considered 20 years less that the actual age, so the new average, after the correction increased by 1. The value of n is:

(1) 21 (2) 20 (3) 22 (4) none of these

answer key1. (2) 2. (3) 3. (1) 4. (3) 5. (5)6. (4) 7. (2) 8. (2) 9. (2) 10. (2)11. (1) 12. (2) 13. (4) 14. (2) 15. (2)16. (2) 17. (3) 18. (3) 19. (2) 20. (1)21. (1) 22. (3) 23. (4) 24. (2) 25. (1)26. (1) 27. (4) 28. (3) 29. (4) 30. (1)31. (1) 32. (1) 33. (3) 34. (3) 35. (2)

84


average LeVeL-3

1. If the mean of a, b, c is M and ab + be + ca=0, then the mean of a2, b2,c2 is:

(1) M2 (2) 3M2

(3) 6M2 (4) 9M2

2. The average of the two-digit numbers, which remain the same when the digits inter. change their positions, is:

(1) 33 (2) 44 (3) 55 (4) 66

3. The mean of 12, 22, 32, 42, 52, 62, 72 is: (1) 10 (2) 20 (3) 30 (4) 40

4. If a, b, c, d, e are five consecutive odd numbers, their average is:

(1) 5(a + 4) (2) (3) 5 (a +b +c +d +e) (4) None of these

5. The average of a non-zero number and its square is 5 times the number . The number is:

(1) 9 (2) 17 (3) 29 (4) 295

6. The average annual income (in Rs.) of certain agricultural workers is S and that of other workers is T. the number of agricultural workers is 11 times that of other workers, then the average monthly income (in Rs.) of all the workers is:

(1) (2)

(3) +T (4)

7. A family consists of grandparents, parents and three grandchildren. The average age of the grandparents is 67 years, that of the parents is 35 years and that of the grandchildren is 6 years. What is the average age of the family?

(1) years (2) years

(3) years (4) None of these

8. A car owner buys petrol at Rs. 7.50, Rs. 8 and Rs. 8.50 per liter for three successive years. What

approximately is the average cost per liter of petrol if be spends Rs. 4000 each year?

(1) Rs. 7.98 (2) Rs. 8 (3) Rs. 8.50 (4) Rs. 9

9. The average of six numbers is, x and the average of three of these is y. if the average of the remaining three is z, then:

(1) X=y = z (2) 2x = y +z (3) x = 2y + 2z (4) None of these

10. The batting average of 40 innings of a cricket player is 50 runs, his highest score exceeds his lowest score by 172 runs. If these two innings are excluded the average of the remaining 38 innings is 48 runs, the highest score of the player is:

(1) 165 runs (2) 170 runs (3) 172 runs (4) 174 runs

11. Of the four numbers, the first is twice the second, the second is one-third of the third and the third is 5 times the fourth. The average of the numbers is 24.75. The largest if these numbers is:

(1) Rs. 2000 (2) Rs. 2400 (3) Rs. 3600 (4) Rs. 4800

12. The captain of a cricket team of 11 members id 26 years old and the wicket keeper is 3 years older. If the ages of these two are excluded, the average age of the remaining players is one year less than the average age of the whole team, What is the average age to the team?

(1) 23 years (2) 24 years (3) 25 years (4) None of these

13. The average weight of 3 men A, B and C is 84 kg. another man D joins the group and the average now becomes 80 kg If another man E whose weight is 3 kg more than that of D, replaces A, then the average weight of B, C, D and E becomes 79 kg. the weight of A is:

(1) 70 kg (2) 72 kg (3) 75 kg (4) 80 kg

14. 3 years ago, the average ago of a family of 5 members was 17 years. A baby having been born, the average age of the family is the same today.

85


The present age of the baby is (1) 1 Year (2) 1½ years (3) 2 years (4) 3 years

15. The arithmetic mean of the scores of a group of students in a test was 52. The brightest 20% of them secured a mean score of 80 and the dullest 25% a mean score of 31. The mean score of remaining 55% is:

(1) 45 (2) 50 (3) 51.4 approx. (4) 54.6 approx.

16. The average salary if all the workers in a workshop is Rs. 8000. The average salary of 7 technicians is Rs. 12000 and the average salary of the rest is Rs. 6000. The total number of workers in the workshop is :

(1) 20 (2) 21 (3) 22 (4) 23

17. The average age of students of a class is 15.8 years. The average age of boys in the class is 16.4 years and that of the girls is 15.4 years. The ration of the number if boys to the number of girls in the class is:

(1) 1 : 2 (2) 2 : 3 (3) 3 :4 (4) 3 : 5

answer key1. (2) 2. (3) 3. (3) 4. (4) 5. (1)6. (4) 7. (2) 8. (1) 9. (2) 10. (4)11. (4) 12. (1) 13. (3) 14. (3) 15. (3)16. (2) 17. (2)

86


11 ratio and Proportion

1. A : B : C: in the ratio of 3 : 2 : 5.Then how much money will C get out of `500.

(1) ` 200 (2) ` 250 (3) ` 300 (4) `350.2. If a : b is 3 : 4, B : c is 2 : 5, find a : b : c. (1) 3 : 4 : 10 (2) 3 : 5 : 2 (3) 3 : 4 : 4 (4) 3 : 2 :23. A : B is 1 : 2, B : C is 3 : 2, C: D is 1 : 3, Find A

: B : C : D. (1) 3: 6 :9 :12 (2) 3: 4 : 8 :10 (3) 2 :6 :8: 10 (4) 3 : 6 :4 :12

4. If A: B=1:2 and B: C = 2:3, then A: B: C =? (1) 1:2:3 (2) 1:3:2 (3) 3:2:1

(4) 2:3:1

5. If A: B=1:2, B:C = 2:3, C:D = 3:4, then A:B:C:D=? (1) 1:2:3:4 (2) 1:3:2:4 (3) 3:2:1:4 (4) 2:3:1:4

6. If A :B=5:7 and B:C=6:11, then A:B:C=? (1) 55:77:66 (2) 30:42:77 (3) 35:49:4 (4) None

7. If A: B=1:3, B:C=5:7,C:D=9:7 , then A:B:C:D=? (1) 15:45:63:49 (2) 5:49:45:63 (3) 45:15:63:49 (4) 49:15:45:63

8. If A: B = 83:

21

, B: C = 95:

31

and C:D = 43:

65

, then A:B:C:D=?

(1) 3:2:4:5 (2) 6:8:9:10 (3) 8:6:10:9 (4) 2:3:4:5

9. If A:B: C=2:3:4, then :

ac:

cb:

ba

= ? (1) 8:9:16 (2) 8:9:12 (3) 8:9:24 (4) 4:9:24

10. If X: Y=3:4, then (7x+3y):(7x-3y)=? (1) 4:3 (2) 5:2 (3) 11:3 (4) 37:19

11. If 2A=3B=4C, then A: B: C=? (1) 2:3:4 (2) 6:4:3 (3) 3:2:6 (4) 3:4:6

12. If 2A=3B and 4B=5C, then A: C=? (1) 3:5 (2) 8:15 (3) 15:8 (4) 4:3

13. If 5C

4B

3a ==

, then A:B:C=? (1) 3:4:5 (2) 4:3:5 (3) 5:4:3 (4) None

LeVeL - 1

14. If A = 31

B and B = 21

C, then A: B: C=? (1) 1:3:6 (2) 2:3:4 (3) 3:2:6 (4) 3:1:2

15. If 15% of A=20% of B, then A:B=? (1) 3:4 (2) 4:3 (3) 17:16 (4) 16:17

16. A man had some hens and cows. If the number of heads be 48 and the number of feet equals 140, then the number of hens is:

(1) 22 (2) 23 (3) 24 (4) 26

17. A man had some hens and cows. If the number of heads is 60 and the number of feet equals 160, then the number of cows is:

(1) 40 (2) 23 (3) 20 (4) 28

18. A man had some 10 Rs, 20 Rs notes. If their total no of notes is 50 and total value is 800, then the number of 10 Rs notes is:

(1) 20 (2) 25 (3) 30 (4) 26

19. A bag contains Rs. 216 in the form of one rupee, 50 paise and 25 paise coins in the ratio of 2:3:4. The number of 50- paise coins is

(1) 96 (2) 114 (3) 141 (4) 144

20. A bag contains Rs. 20, Rs. 10 and Rs. 5 notes in the ratio 1:2:4. If their total value is Rs. 3000, then number of Rs. 5 notes is:

(1) 50 (2) 100 (3) 150 (4) 200

21. A bag contains ` 410 in the form of ` 5, ` 2 and 1coins The number of coins are in ratio 4 :6 : 9. So,

find the number of 2 ` coins. (1) 40 (2) 50 (3) 60 (4) 70

22. A bag contains 55 in the denominations of 1.50 paise a 25 paise coins. The coins are in the ratio 1 : 2 : 3, Some amount of copper is extracted from the alloy and the ratio becomes 10 : 9. How much copper is extracted?

(1) 41 (2) 42 (3) 40 (4) 38

32. A boy has a few coins of denominations 50 paise, and 10 paise in the ratio 1 : 2 :3. If the total amount of the coins is `6.50, the number of 10 paise coins

87


is (1) 5 (2) 10 (3) 15 (4) 20 (5) None of these

23. Rs. 53 are divided among A,B and C in such a way that A gets Rs. 7 more than what B gets and B gets Rs. 8 more than what C gets. The ratio of their shares is:

(1) 16:9:18 (2) 25:18:10 (3) 10:18:25 (4) None

24. 6.24 find third proportion? (1) 30 (2) 48 (3) 96 (4) 36

25. 8. 24. 36 find fourth proportion? (1) 108 (2) 72 (3) 144 4.64

26. If 7: x : 17.5 : 22.5, then x=? (1) 5.5 (2) 7.5 (3) 6 (4) 9

27. If 0.4: 1. 4:: 1.4: x, then x=? (1) 49 (2) 4.9 (3) 0.49 (4) 0.4

28. What should be added to each of the four numbers 6, 14, 18, 38, to make them proportional?

(1) 1 (2) 2 (3) 3 (4) 429. What should be subtracted from each of the

numbers 54, 71, 75, 99 so that the remainders may be proportional?

(1) 1 (2) 2 (3) 3 (4) 430. The ratio between two numbers is 3:4. If each

number is increased by 6, the ratio becomes 4:5. The difference between the numbers is:

(1) 1 (2) 3 (3) 6 (4) 831. The monthly incomes of A and B are in the ratio

2:3 and their monthly expenses are in the ratio 5:9. If each of them saves Rs. 600 per month then their monthly incomes are:

(1) Rs.1500, Rs.2250 (2) Rs.1200 Rs. 1800 (3) Rs. 1600, Rs. 2400 (4) Rs. 1400, Rs. 2100

32. The ratio of boys and girls in a school is 3:2. When 6 more girls join this ratio becomes 6:7. How many boys are there in the school?

(1) 24 (2) 30 (3) 42 (4) 1233. In a school the ratio of boys and girls is 4:5. When

100 girls leave the school, the ratio becomes 6:7. How many boys are there in the school?

(1) 1300 (2) 1500 (3) 1600 (4) 1200

34. A mixture contains milk and water in the ratio 5:1. On adding 5 litres of water the ratio of milk to water becomes 5:2. The quantity of milk in the

original mixture is: (1) 16 liters (2) 22.75 liters (3) 25 liters (4) 32.5 liters

35. If the income of A is 10% more than that of B and the income of B is 20% less than that of C, then the incomes of A,B,C are in the ratio:

(1) 11:10:8 (2) 22:20:25 (3) 10:9:7 (4) 22:18:25

36. In a mixture of 60 liters the ratio of milk and water is 2:1. If this ratio is to be 1:2 the quantity of water to be further added is:

(1) 20 liters (2) 30 liters (3) 40 liters (4) 60 liters



38. Supriya’s monthly income is twice Deepa’s monthly income. The ratio of the monthly income of Deepa and Sandhya is 7:3 respectively and their average monthly income is Rs. 25,000/-. What is Supriya’s monthly income ?

(1) ` 35,000/- (2) ` 50;000/- (3) ` 75,000/- (4) Cannot be determined (5) None of these

39. Mr. Pandit divided an amount of Rs. 1,08,000/- amongst his two daughters and three sons. Each daughter received thrice the amount as each of the sons. How much amount did each daughter receive?

(1) ` 12, 000/- (2) ` 72,000/- (3) ` 24, 000/- (4) ` 32, 000/- (5) None of these40. 32 Teachers and 120 students were present at the

beginning of the annual function and 16 teachers and 24 students came later for the function. What is the respective ratio of the number of teachers to the number of students who attended the function?

(1) 1: 4 (2) 1: 3 (3) 1: 2 (4) 2: 3 (5) None of these

41. A and B are two alloys of gold and copper prepared by mixing metals in the proportion 7:2 and 7:11 respectively. If equal quantities of the alloy are melted to form a third alloy C, the

88


proportion of gold and copper in C will be: (1) 5:9 (2) 5:7 (3) 7:5 (4) 9:5

42. The ratio of the expenditure of A, B and their savings are 20% , 25% and 40% of their income. If the sum of their income is ` 1530, find B’s salary.

(1) ` 480 (2) ` 490 (3) ` 500 (4) ` 510

43. The ratio of income of A, B and C is expenditure is 4 : 3 : 5 respectively. If A saves ` 300 out of 2400, Find the savings of C.

(1) ` 480 (2) ` 490 (3) ` 500 (4) `510

44. The ratio of income of A, B and C is expenditure is 4 : 3 : 5 respectively. If A saves ` 300 out of ` 2400, find the saving of C.

(1) ` 565 (2) ` 570 (3) ` 575 (4) ` 580

45. The price of gold is directly proportional to square of its weight. A person broke down the gold in the ratio of 3: 2: 1 and faces a loss of ` 4620. Find the initial price of gold.

(1) ` 7520 (2) ` 7530 (3) ` 7540 (4) ` 7560

46. 7800 are distributed among A, B and C. The share

of A is of the share of C. Then find the difference between share of B and C.

(1) 1000 (2) 1100 (3) 900 (4) 1200

47. The salaries of A, B and C are in the ratio 1 : 3 : 4. If the salaries are increased by 5%, 10% and 15% respectively, then the increased salaries will be in the ratio

(1) 20 : 66 : 95 (2) 21 : 66 : 95 (3) 21 : 66 :92 (4) 19 : 66 ; 92 (e) None of these

48. 68,000 is divided among A, and C in the ratio of

. The difference of the greatest and the smallest parts is

(1) 6000 (2) 14440 (3) 9200 (4) 16000 (5) None of these

49. Three numbers are in the ratio . The difference between the greatest and the smallest number is 36. The number is

(1) 72, 84,108 (2) 60, 72, 96 (3) 72, 84, 96 (4) 72, 96, 108 (5) None of these

50. In an examination, the number of those who passed and the number of those who failed were in the ratio 25: 4. If five more had appeared and the number of failures was 2 less than earlier, the ratio of passers to failures would have been 22:3 the number who appeared at the examination. Is

(1) 145 (2) 150 (3) 155 (4) 180 (5) None of these

51. The contents of two vessels containing water and milk are in the ratio 1 : 2 and 2 : 5 are mixed in the ratio 1 : 4. The resulting mixture will have water and milk in the ratio

(1) 35:75 (2) 31:74 (3) 41: 65 (4) 31: 65 (5) None of these

52. A bucket contains a mixture of two liquids A and B in the proportion 7:5. If 9 liters of liquid B, then the ratio of the two liquids becomes 7:9. How much of the liquid A was there in the bucket?

(1) 21 liters (2) 23 liters (3) 35 liters (4) 27 liters (5) None of these

53. A mixture contains milk and water in the ratio of 4:3 respectively. If 6 liters of water is added to third mixture, the respective ratio of milk and water becomes 8:7 .What is the quantity of milk in their original mixture?

(1) 96 liters (2) 36 liters (3) 84 liters (4) 48 Liters (5) None of these

answer key1. (2) 2. (1) 3. (4) 4. (1) 5. (1)6. (2) 7. (1) 8. (3) 9. (3) 10. (3)11. (2) 12. (3) 13. (1) 14. (1) 15. (2)16. (3) 17. (3) 18. (1) 19. (4) 20. (4) 21. (2) 22. (3) 23. (2) 24. (3) 25. (1)26. (4) 27. (2) 28. (2) 29. (3) 30. (3)31. (1) 32. (4) 33. (4) 34. (3) 35. (4) 36. (4) 37. (1) 38. (5) 39. (5) 40. (2)41. (3) 42. (3) 43. (2) 44. (2) 45. (4)46. (2) 47. (3) 48. (4) 49. (4) 50. (1)51. (1) 52. (1) 53. ()

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ratio and Proportion LeVeL-2

1. Rs. 6400 are divided among three workers in the ratio 3/5 :2: 5/3. The share of the second worker is:

(1) 2560 (2) 3000 (3) 3200 (4) 3840

2. Instead of dividing Rs. Rs. 117 among P,Q,R in the ratio ½: 1/3: 1/4., by mistake it was divided in the ratio 2:3:4. Who gained in the transaction?

(1) Only P (2) Only Q (3) Only R (4) Both Q & R

3. The ratio of the number of students studying in schools A, B and C is 5:6:8. If the number of students in each of the schools in increased by 30%, 25% and 25% respectively, what will new ratio of the students in schools A,B and C?

(1) 14:15:20 (2) 13:15:20 (3) 13:14:15 (4) 15:17:19

4. In a class number of girls is 20% more than that of boys. The strength of the class is 66. If 4 more girls are admitted to class, what will be ratio of the number of boys to that of the girls?

(1) 1:2 (2) 1:4 (3) 3:4 (4) 3:5

5. Two numbers are in the ratio of 3:5.If each number is increased by 10, the ratio becomes 5:7. The numbers are:

(1) 3,5 (2) 7, 9 (3) 13, 22 (4) 15, 25

6. Two numbers are in the ratio 1½ : 322

. When each one of these is increased by 15, their ratio becomes

321

: 2 ½. The larger of numbers is: (1) 27 (2) 80 (3) 48 (4) 64

7. What must be added to each term of the ratio 7:13 so that the ratio becomes 2:3?

(1) 1 (2) 2 (3) 3 (4) 5

8. If a carton obtaining a dozen mirrors is dropped, which of the following cannot be the ratio of broken mirrors to unbroken mirrors?

(1) 2:1 (2) 3:1 (3) 3:2 (4) 7:5

9. Two whole numbers whose sum is 64, cannot be in the ratio

(1) 5:3 (2) 7:1 (3) 3:4 (4) 9:7

10. Two numbers are respectively 20% and 50% more than a third number. These two number are in ratio.

(1) 2:5 (2) 4:5 (3) 3:2 (4) 5:2

11. 94 is divided into two parts in such a way that fifth part of the first and eighth part of the second are in the ratio 3:4. The first part is:

(1) 27 (2) 30 (3) 36 (4) 48

12. Which of the following is the lowest ratio? (1) 7: 13 (2) 17:25 (3) 7:15 (4) 15:23

13. Three numbers are in the ratio 3:4:5. The sum of the largest and the smallest equals the sum of the third and 36 The smallest numbers is:

(1) 20 (2) 27 (3) 39 (4) 52

14. The sum of the squares of three numbers which are in the ratio 2:3:4 is 725. What are these numbers?

(1) 10,15,20 (2) 14,21,28 (3) 20,30,40 (4) none

15. Rs 680 is divided among A,B,C such that A gets 2/3 of what B gets and B gets ¼ of what C gets. Then their shares are respectively:

(1) 75, 325, 28 (2) 80,120,480 (3) 90, 210, 380 (4) 100,200,380

16. The salary of A,B and C together amounts to Rs. 333. If they spend 80%, 85% and 75% of their respective incomes their saving are as 7:6:9. The salary of B is:

(1) 105 (2) 108 (3) 115 (4) 120

17. The incomes of A and B are in the ratio 3:2 and their expenditures are in the ratio 5:3. If each saves Rs 1000, then A’s income is:

(1) 3000 (2) 4000

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(3) 6000 (4) 9000

18. Rs. 1050 are divided among P,Q and R in such a way that the share of P is 2/5 of the combined share of Q and R. Thus P gets:

(1) 200 (2) 300 (3) 320 (4) 420

19. Some money is divided among A,B and C in such a way that 5 times A’s share, 3 times B’s and 2 times C’s share are all equal. The ratio between the shares of A,B,C is:

(1) 5:3:2 (2) 2:2:5 (3) 15:10:6 (4) 6:10:15

20. A sum of money is divided among A,B and C in such a way that A gets one rupee, B gets 65 paise and C gets 35 paisa. If C’s share is Rs. 28, the sum is:

(1) 120 (2) 140 (3) 160 (4) 180

21. Rs.1300 are divided among A,B,C and D in such

a way that : 32

shares'dshares'C

shares'Cshares'B

shares'Bshares'a ===

, what is A’s share ?

(1) 320 (2) 240 (3) 160 (4) 140

22. Vessels A and B contain mixtures of milk and water in the ratio 4:5 and 5:1 respectively. In what ratio should quantities of mixtures be taken from A & B to form a mixture in which milk to water is in the ratio 5:4?

(1) 2:5 (2) 2:3 (3) 4:3 (4) 5:2

23. Mira’s monthly income is two-fifth Kishan’s monthly income. Kishan’s annual income is Rs. 2.13 lacs. What is Mira’s annual income ? (In some cases monthly income and in some cases annual income is used.)

(1) Rs. 72,000/- (2) Rs. 84,200/- (3) Rs. 71,000/- (4) Rs. 85,200/- (5) None of these

24. Three friends divide an amount of Rs.45,000, such that one of them takes ¼ of the total amount and the other two divide the rest of the amount equally amongst themselves. What is the ratio of amount taken by one of the friends to the total amount

taken by the other two friends together ? (1) 1 :3 (2) 1 :2 (3) 3:2 (4) 2:3 (5) None of these

25. The cost of a precious stone varies as the square of its weight. A stone weighing 10 grams costs Rs. 2500. What is the loss if this stone breaks into 2 pieces with weights in the ratio of 2 : 3?

(1) Rs. 1300 (2) Rs. 750 (3) Rs. 1200 (4) Rs. 900

26. If 36 men working 7 hours per day can do a work in 18 days, Then in how many days, will 21 men working 8 hours a day do the same work?

(1) 24 days (2) 32 days (3) 44 days (4) 27 days

27. A piece of work was supposed to be finished in 9 days by a certain number of men. When 6 of them did not turn up for the work, the rest completed it in 15 days. How many men were there originally?

(1) 18 (2) 15 (3) 21 (4) 9

28. A fort is provisioned for 75 days. After 25 days, reinforcement of 500 men arrives and the food now last for 40 days only. How many men were there in the fort originally?

(1) 2500 (2) 1800 (3) 1500 (4) 2000

29. In a milk diary, a group of labourers promised to finish a product in 10 hours. But 5 of them withdrew, So, the product was finished in 12 hours. What was the original number of men in the group?

(1) 30 men (2) 25 men (3) 40 men (4) 20 men

30. Three glasses of equal volume are filled with the mixtures of spirit and water. The ratio of spirit to water in each glass is 3 : 4, 4 : 5 and 5 : 6 respectively. The contents of these glasses are emptied into a single vessel. What is the ratio of the spirit to water in this vessel?

(1) 920:1159 (2) 1159:920 (3) 11 : 9 (4) None of these

31. By mistake instead of dividing Rs. 117 among three persons A, B, C, in the ratio of 1/2 : 1/3 :

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1/4, it got divided in the ratio 2 : 3 : 4. Who gains the most and how much?

(1) A, Rs. 28 (2) B, Rs. 35 (3) C, Rs. 20 (4) C, Rs. 25

32. The average age of the members of a club increases to 27 when 3 more persons whose average age is 29 join a group of students whose average age is 26. What is the number of students in class now?

(1) 6 (2) 9 (3) 12 (4) 5

33. If an employer decreases the number of his employees in the ratio 10 : 9 and increases their wages in the ratio 11 : 12, then what is the ratio of his two expenditures?

(1) 21: 22 (2) 55 : 54 (3) 27 : 25 (4) None of these

34. Cask A contains wine and water in the ratio 6 : 7 and Cask B in the ratio 9 : 4. In what ratio must the contents of the two casks be mixed to get a mixture of wine and water in the ratio 7 : 6?

(1) 1 : 2 (2) 3 : 2 (3) 2 : 1 (4) 2 : 3

35. A & B enter into a partnership. A puts in Rs. 50 and B puts in Rs. 45. At the end of 4 months, A withdraws half his capital and at the end of 5 months B withdraws 1/5 of his. C then enters with a capital of Rs. 70. At the end of the year, the profit is Rs. 254. In what ratio should it be distributed?

(1) 400 : 477 : 490 (2) 20 : 133 : 35 (3) 65 : 290 : 130 (4) None of these

36. A butler steals wine from a butt of sherry which contained 30% of spirit and replaces that with the one containing only 12% of spirit. Now, the butt is only 18% strong. How much of the butt did he steal?

(1) 1/3 (2) 2/3 (3) 1/4 (4) 1/5

37. 9 litres are drawn from a cask full of water and it is then filled with milk. 9 litres of the mixture are drawn again and the cask is filled with milk again. The ratio of milk to water in the cask is 9 : 16. What is the capacity of the cask?

(1) 36 L (2) 54 L (3) 45 L (4) 30 L

38. A man buys two horses for Rs. 1350. He sells one on a loss of 6% and the other on a gain of 7.5%. On

the whole he neither gains nor loses. How much does each horse cost?

(1) 750, 600 (2) 600, 500 (3) 500, 450 (4) 750, 800

39. An army of 12,000 consists of Europeans and Indians. The average height of a European is 5 feet 10 inches and that of an Indian is 5 feet 9 inches. The average height of the whole army is 5 feet 9.75 inches. What is the number of Indians in the army?

(1) 2000 (2) 3000 (3) 1500 (4) Can’t be determined

40. Rahil and Sahil can plough a field in 8 and 12 hours respectively. If they work in stretches of 1 hours alternately, Rahil starting at a 9 am, then at what time will the work be over?

(1) 6 pm (2) 6:30 am (3) 6:30 pm (4) 5 pm

41. A is thrice as fast as B. and is therefore able to finish a work in 60 days less than B. Find the time in which they can finish it by working together?

(1) 23 days (2) 22 ½ days (3) 30 days (4) 21.5 days

answer key1. (2) 2. (4) 3. (2) 4. (3) 5. (4)6. (3) 7. (4) 8. (3) 9. (3) 10. (2)11. (2) 12. (3) 13. (2) 14. (1) 15. (2)16. (4) 17. (3) 18. (2) 19. (4) 20. (3)21. (3) 22. (4) 23. (4) 24. (1) 25. (3)26. (4) 27. (2) 28. (4) 29. (1) 30. (1)31. (4) 32. (2) 33. (2) 34. (3) 35. (1)36. (2) 37. (3) 38. (1) 39. (2) 40. (3)41. (2)

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ratio and Proportion LeVeL-3

1. A: B : C: in the ratio of 3 : 2 : 5. Then how much money will C get out of ` 500.

(1) ` 200 (2) ` 250 (3) ` 300 (4) ` 350.

2. If a : b is 3 : 4, B : c is 2 : 5, find a : b : c. (1) 3 : 4 : 10 (2) 3 : 5 : 2 (3) 3 : 4 : 4 (4) 3 : 2 :2

3. A : B is 1 : 2, B : C is 3 :2, C: D is 1 : 3, Find A : B : C : D.

(1) 3 : 6 :9 :12 (2) 3 : 4 : 8 :10 (3) 2 :6 :8: 10 (4) 3 : 6 :4 :12

4. ` 5600 is to be divided into A, B, C, D in such a way that the ratio of share of A : B is 1 : 2, B : C is 3 : 1, and C : D is 2: 3, Find the sum of share of A & C and B & C.

(1)` 400, ` 3000 (2) ` 2000, ` 3000 (3) ` 2000, ` 3200 (4) ` 2400, ` 3200

5. A : b 2 : 1 B : C 1 : 3 C : D 2 : 3 D : E 1 : 2 Find a : b : c :d :e. (1)4 : 2 : 6 : 9 : 18 (2)4 : 3 : 6 :9 : 18 (3)2 : 4 :8 10 : 12 (4)5 : 4 :8 : 12 :18

6. If a :b : c is 1 :3 :2 and c : d : e is 1 : 2 : 3. Find a : b : c : d : e?

(1) 1 : 2 : 3 : 4 : 5 (2) 1 : 3 : 2 : 4 : 6 (3) 1 : 4 : 3 : 2 : 6 (4) 1 : 6 : 3 : 2 : 4

7. The ratio of total amount distributed in all the males and females as salary is 6 : 5. The ratio of salary of each male and females is 2 : 3. Find the ratio of the no. of male and female.

(1) 5 ; 9 (2) 5 : 7 (3) 7 : 5 (4) 9 : 5

8. The number of employees are reduced in the ratio 3 : 3 and the salary of each employee is increased in the ratio 4: 5 By doing so, company saves `12, 000. So, find the initial expenditure on salary.

(1) ` 72000 (2) ` 62000 (3) ` 82000 (4) ` 52000

9. The ratio of income of A and B one year ago is 3 :2, The ratio of increased income of original income of A is 2 : 3 and that of B is 3 : 4. The total present

income of A and B together is ̀ 21500. So, find the income of B,

(1) ` 6000 (2) ` 7000 (3) ` 8000 (4) ` 900010. In a class number of girls is 20% more than that of

boys. The strength of the class is 66. If 4 more girls are admitted to class, what will be ratio of the number of boys to that of the girls?

(1) 1:2 (2) 1:4 (3) 3:4 (4) 3:5

11. The ratio of the expenditure of A, B and C are 16: 12: 9 respectively and their savings are 20%, 25% and 40% of their income. If the sum of their income is ` 1530, find B’s salary.

(1) ` 480 (2) ` 490 (3) ` 500 (4) ` 510

12. The ratio of income of A, B and C is expenditure is 4 : 3 : 5 respectively. If A saves ̀ 300 out of ̀ 2400, Find the savings of C.

(1) ` 480 (2) ` 490 (3) ` 500 (4) ` 510



14. The ratio of income in two consecutive years is 2 : 3 respectively. The ratio of their expenditure is 5 : 9, Income of second year is ` 45000 and Expenditure of 1st year is ̀ 25000. Savings in both years together is .

(1) ` 4000 (2) ` 5000 (3) ` 6000 (4) ` 7000

15. A, B, C along completed a piece of work in30, 50 and 40 days. The ratio of the salary of each day is 4 : 3 : 2 respectively. If the total income of A is ` 144, Find total income if B.

(1) ` 180 (2) ` 185 (3) ` 190 (4) ` 195

16. A person cover certain distance by Train, Bus and Car in ratio 4 : 3 :2 respectively. The ratio of fair is 1:2:4 per kilometer the total expenditure is 720 then total expenditure by train is?

(1) ` 140 (2) ` 150 (3) ` 160 (4) ` 170

17. Two numbers are in ratio 4 : 5 respectively. If each number is reduced by 25, then the ratio becomes 3 : 4, Find the 2nd numbers.

93


(1) 120 (2) 125 (3)130 (4) 135

18. The price of gold is directly proportional to square of its weight. A person broke down the gold in the ratio of 3 : 2 : 1 and faces a loss of ̀ 4620. Find the initial price of gold.

(1) ` 7520 (2) ` 7530 (3) ` 7540 (4) ` 7560

19. A is inversely proportional to the cube of B. If

a =3, then B = 2. If A = then find the value of B.

(1) 3 (2) 4 (3) 5 (4) 6

20. ` 7800 are distributed among A, B and C. The

share of A is of the share of B and share of B is

share of C. Then find the difference between share of B and C.

(1) ` 1000 (2) ` 1100 (3) ` 900 (4) ` 1200

21. A bag contains ` 410 in the form of ` 5, ` 2 and ` 1 coins. The number of coins are in ratio 4 :6 : 9. So, find the number of ` 2 coins.

(1) 40 (2) 50 (3) 60 (4) 70

22. A bag contains ` 55 in the denominations of Rs. 1, 50 paise an 25 paise coins. The coins are in the ratio 1 : 2 : 3. The number of 50 paise coins is?

(1) ` 41 (2) ` 42 (3) ` 40 (4) ` 38

23. The ratio of copper and zinc in a 63 kg alloy is 4 : 3. Some amount of copper is extracted from the alloy and the ratio becomes 10 : 9. How much copper is extracted?

(1) 6 kg (2) 8 kg (3)12 kg (4) 10 kg

24. Supriya’s monthly income is twice Deepa’s monthly income. The ratio of the monthly income of Deepa and Sandhya is 7:3 respectively and their average monthly income is Rs. 25,000/-. What is Supriya’s monthly income ?

(1) ` 35,000/- (2) ` 50;000/- (3) ` 75,000/- (4) Cannot be determined (5) None of these

25. If of A = 75% of B = 0.6 of C, then A : B : C is (1) 2 : 3 :3 (2) 3 : 4 : 5 (3) 4 : 5 : 6 (4) 9 : 8 : 10

26. If a : b = 5 : 7 and c : d =2a : 3b then ac : bd is (1) 20 : 38 (2) 50 : 147

(3) 10 : 21 (4) 5 : 3

27. If x : y = 3 : 2, then the ratio 2x2 + 3 y2 : 3x2-2y2 is equal to

(1) 12 : 5 (2) 6 : 5 (3) 30 : 19 (4) 5: 3 (5) None of these

28. Divide ̀ 324. 36 into three parts in. the proportion of 5 : 6 : 7.

(1)` 90.10, ` 108.12, ` 126.14 (2)` 80.20, ` 118.14, ` 124.14 (3)` 95.10, ` 128.12, ` 136.14 (4)` 80.10, ` 118.12, ` 146.14

29. Two sums of money are proportional to 8 : 9. If the first is ` 20, what is the other?

(1) ` 20.5 (2) ` 22.5 (3) ` 23.5 (4) ` 24.5 (5) None of these

30. If A and B are in the ratio 3 : 4 and B and C in the ratio 12 : 13 then A and C will be in the ratio (1) 3 : 13 (2) 9 : 13 (3) 36 : 13 (4) 13 : 9

(5)None of these

31. The salaries of A, B and C are in the ratio 1 : 3 : 4. If the salaries are increased by 5%, 10% and 15% respectively, then the increased salaries will be in the ratio

(1) 20 : 66 : 95 (2) 21 : 66 : 95 (3) 21 : 66 :92 (4) 19 : 66 ; 92 (5) None of these

32. A boy has a few coins of denominations 50 paise, 25 paise and 10 paise in the ratio 1 : 2 : 3. If the total amount of the coins is 6.50, the number of 10 paise coins is

(1) 5 (2) 10 (3) 15 (4) 20 (5) None of these

33. Two numbers are in the ratio 2 : 3, If 2 is subtracted form the first and 2 is added to the second, the ratio becomes 1 : 2. The sum of the number is

(1) 30 (2) 28 (3) 24 (4) 10 (5) None of these

34. ` 68,000 is divided among A, and C in the ratio

of . The difference of the greatest and the smallest parts is

(1) ` 6000 (2) ` 14440 (3) ` 9200 (4) ` 16000 (5) None of these

94


35. Three numbers are in the ratio . The difference between the greatest and the smallest number is 36. The number are

(1) 72, 84,108 (2) 60, 72, 96 (3) 72, 84, 96 (4) 72, 96, 108 (5) None of these

36. The ratio of incomes of two persons is 5 ; 3 and that of their expenditures is 9 : 5 If they save ` 2600 and ` 1800 respectively. Their incomes are

(1) ` 8000, ` 4800 (2) ` 6000. ` 3600 (3) ` 10000. ` 6000 (4) ` 9000 ` 5400 (5) None of these

37. The students in three classes are in the ratio 2 : 3 : 5. If 20 students are increased in each class, the ratio changes to 4 : 5 : 7. Originally the total number of students was

(1) 50 (2) 90 (3) 100 (4) 150 (5) None of these

38. 75% of a number is equal to three-seventh of another number. What is the ratio between the first number and the second number respectively?

(1) 4: 7 (2) 7 : 4 (3) 12 :7 (4) 7 : 12 (5) None of these

39. The ratio between the boys and girls in a class is 6: 5 respectively. If 8 more boys join the class and two girls leave the class then the respective ratio becomes 11:7. What is the number of boys in the class now?

(1) 28 (2) 38 (3) 44 (4) 36

40. Four-seventh of a number is equal to 40% of another number. What is the ratio between the first. Number and the second number respectively?

(1) 5 : 4 (2) 4 : 5 (3) 10 : 7 (4) 7 :10 (5) None of these

41. The ratio between the male and female existing employees in an organization is 7 :3. The ratio between the male and female new recruits of 240 is 5 :7. What will be new ratio between male and female employees after the recruits join the organization?

(1) 6 :5 (2) 5 : 4 (3) 3 : 2 (4) Can’t be determined (5) None of these

42. 40% of a number is equal to of another number What is the ratio between first number and second number respectively?

(1) 3:2 (2) 2:3 (3) 3:4 (4) Can’t be determined (5) None of these

43. Three friends divide an amount of Rs. 45,000, such that one of them takes ¼th of the total amount and the other two divide the rest of the amount equally among themselves. What is the ratio of amount taken by one of the friends to the total amount taken by the other two friends to gather?

(1) 1 : 3 (2) 1 :2 (3) 3 : 2 (4) 2:3

44. In a garden, the ratio of the number of coconut trees is 5 : 6 respectively. If the total number of trees is 121, then how many coconut trees are there in the garden?

(1) 50 (2) 45 (3) 56 (4) 55 (5) None of these

45. The ratio of number of students taking admission in organization X and Y was 5: 8. If 20% of students exceed in organization X and 10% of students exceed in organization Y then new ratio of students is

(1) 15:22 (2) 15 : 16 (3) 5:4 (4) 5:7 (5) None of these

46. In an examination, the number of those who passed and the number of those who failed were in the ratio 25: 4. If five more had appeared and the number of failures was 2 less than earlier, the ratio of passers to failures would have been 22:3. The number who appeared at the examination. Is

(1) 145 (2) 150 (3) 155 (4) 180 (5) None of these

47. The income of A and B are in the ratio 5: 3. The expenses of A, B and C are in the ratio 8: 5 :2. If C spends ` 2000 and B saves ` 700, then A saves

(1)` 1500 (2) ` 1000 (3) ` 500 (4) ` 250 (5) None of these

48. The ratio of A to B is 4: 5 and that of B to C is 2 : 3. If A equals 800, C equals

(1) 80 (2) 90 (3) 100 (4) 120 (5) None of these

49. One man adds 3 liters of waters 12 liters milk

95


and another 4 liters of water to 10 liters of milk. What is the rate of the strengths of milk in the two mixtures?

(1) 28:25 (2) 27:25 (3) 26:25 (4) 25:26 (5) None of these

50. ` 425 is divided among 4 men, 5 women and 6 boys such that the share of a man, a woman and a boy may be in the ratio of 9 :8 :4. What is share of a woman?

(1) ` 24 (2) ` 28 (3) ` 32 (4) ` 34 (5) None of these

51. The same type of work in assigned to three groups of men. The ratio of person in the groups is 3: 4: 5. Find the ratio of days in which they will complete the work.

(1) 20 : 15 :12 (2) 15 :12 : 18 (3) 20 : 12 :15 (4) 15 :25 :20 (5) None of these

52. The contents of two vessels containing water and milk are in the ratio 1 : 2 and 2 : 5 are mixed in the ratio 1 : 4. The resulting mixture will have water and milk in the ratio

(1) 35 :75 (2) 31 :74 (3) 41 : 65 (4) 31 :65 (5) None of these

53. One year ago, the ratio between Laxman’s and Gopal’s salaries was 3 :5. The ratio of their individual salaries of last year and present year are 2 :3 and 4 :5 respectively. If their total salaries for the present year are ` 4300. Find the present salary of Laxman.


54. A & B enter into a partnership. A puts in Rs. 50 and B puts in Rs. 45. At the end of 4 months, A withdraws half his capital and at the end of 5 months B withdraws 1/5 of his. C then enters with a capital of Rs. 70. At the end of the year, the profit is Rs. 254. In what ratio should it be distributed?

(1) 400 : 477 : 490 (2) 20 : 133 : 35 (3) 65 : 290 : 130 (4) None of these

55. A man buys two horses for Rs. 1350. He sells one on a loss of 6% and the other on a gain of 7.5%. On the whole he neither gains nor loses. How much does each horse cost?

(1) 750, 600 (2) 600, 500

(3) 500, 450 (4) 750, 800

56. A amount of money is to be distributed among A, B and C in the ratio of 3: 3 :5. If the total share of A, B and C is ` 2,000, then what will be the total share of A and C?

(2) ` 16,500 (2) ` 15,000 (3) ` 12,500 (4) ` 16,000 (5) None of these

57. Vessels A and B contain mixtures of milk and water in the ratios 4 : 5 and 5 :1 respectively. In what ratio should quantities of mixture be taken form A and B to form a mixture in which milk to water is in the ratio 5 :4?

(1) 2 : 5 (2) 4 :3 (3) 5 :3 (4) 2: 3 (5) None of these

58. A bag contains one rupees, 50 paise and 25 paise coins in the ratio 5 : 6 : 8. If the total amount of money in bag is ` 210, find the number of coins of each kind.

(1) 105,126, 168 (2) 10, 136, 176 (3) 105, 126, 156 (4) 108, 126, 146 (5) None of these

59. One-rupee coins, 50 P coins an25 P coins, are in the ratio of 4 ; 5 ; 6. Find the number of coins of each denomination if the total money amounts to ` 32?

(1) 16, 20, 24 (2) 22, 24, 28 (3) 14 ,24, 22 (4) 18, 20,22 9 (5) None of these

60. A sum of ̀ 3115 id divided among A, B and C such that if ̀ 25, ̀ 28 and ̀ 52 be diminished form their shares respectively, the remainder shall be in the ratio of 8 : 15 :20. Find the share of each.

(1) ` 585, ` 1078, ` 1452 (2) ` 685, ` 1178, ` 1552 (3) ` 485, ` 1088, ` 1352 (4) ` 785, ` 1378, ` 1652 (5) None of these

61. What must be added to two numbers that are in the ratio of 3: 4, So that they become in the ratio 4 : 5?

(1) 0.5 (2) 1 (3) 1.5 (4) 2 (5) None of these

62. Find the number which, when subtracted form the terms of the ratio 19 :23 makes it equal to the

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ratio of 3 :4. (1) 5 (2) 6 (3) 7 (4) 8 (5) None of these

63. An employer reduces the number of his employees in the ratio 9 : 8 and increases their wages in the ratio 14 :15, State whether his bill of total what ratio.

(1) 11 :15 (2) 20 :21 (3) 21 : 20 (4) Can’t be determined

64. Ratio of earning of A and B is 8 :9 respectively, If the earnings of A increase by 50% and the earnings of B decrease by 25%. The new ratio of their earnings becomes 16:9 respectively. What are A’s earnings?

(1) ` 37,000 (2) ` 28,500 (3) ` 22,000 (4) Can’t be determined (5) None of these

65. A mixture contains milk and water in the ratio of 4 :3 respectively. If 6 liters of water is added to this mixture, the respective ratio of milk and water becomes 8 :7. What is the quantity of milk in their original mixture?

(1) 96 liters (2) 36 liters (3) 84 liters (4) 48 Liters (5) None of these

66. 1300 is to be distributed among A, B, C and

D in such a way that

. What is the share of A? (1) ` 150 (2) ` 160 ( 3 ) `

170 (4) Can’t be determined (5) None of these

67. A dog chases a rabbit . The dog takes 6 leaps for every 7 leaps of the rabbit, The rabbit takes 6 leaps for every 5 leaps of the dog. Ratio of their speed is-

(1) 36 :35 (2) 35 : 36 (3) 36 :40 (4) Can’t be determined (5) None of these

68. Which smallest number must be subtracted from both the terms of ratio 6: 7, so that the new ratio id less than 16 : 21

(1) 3 (2) 4 (3) 5 (4) 6 (5) None of these

69. Two positive numbers are in the ratio 11 : 12, Their product is 4752, what is the smallest number?

(1) 60 (2) 66 (3) 55 (4) 65 (5) None of these

answer key1. (2) 2. (1) 3. (4) 4. (3) 5. (1)6. (2) 7. (4) 8. (1) 9. (3) 10. (3)11. (2) 12. (1) 13. (1) 14. (2) 15. (1)16. (3) 17. (2) 18. (4) 19. (1) 20. (4)21. (3) 22. (3) 23. (1) 24. (5) 25. (4)26. (4) 27. (3) 28. (1) 29. (2) 30. (3)31. (3) 32. (3) 33. (1) 34. (4) 35. (4)36. (1) 37. (3) 38. (1) 39. (3) 40. (4)41. (4) 42. (1) 43. (1) 44. (4) 45. (1)46. (1) 47. (1) 48. (3) 49. (3) 50. (1)51. (4) 52. (1) 53. (2) 54. (1) 55. (1)56. (2) 57. (4) 58. (3) 59. (1) 60. (1)61. (2) 62. (3) 63. (3) 64. (4) 65. (4)66. (2) 67. (1) 68. (1) 69. (2)

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12 Partnership

1. Two Partners A and B start a business by investing ` 50,000 and `40,000 respectively. What will the ratio of their profits at the end of the year?

(1) 5 : 4 (2) 3 : 6 (3) 4 : 5 (4) 6 : 3 (5) None of these

2. A start a business with ` 25,000. After 4 months B joins him with ` 20,000. What will be the ration of their profit at the end of the years

(1) 4 : 8 (2) 5 : 10 (3) 15 : 8 (4) 9 : 18 (5) None of these

3. A starts a business with ̀ 21,000/- and later B joins him with ` 36,000/- After how many months did B join it the profit is distributed in equal ration?

(1) 5 (2) 7 (3) 6 (4) 9 (5) None of these

5. In a business A and b invested amounts in ratio 2:3, where as B and C invested amounts in the ration 3:4. If their annual profit be 45000 then B’s share in profit is:

(1) Rs. 15000 (2) Rs. 30000 (3) Rs. 20000 (4) None

6. A,B and C invested Rs. 26000, Rs. 34000 and Rs. 10000 respectively in a business. At the end of the year, they earn a profit of Rs. 3500. B’s share of profit is:

(1) Rs. 1200 (2) Rs. 1500 (3) Rs. 1700 (4) Rs. 1900

7. Four milkmen rented a pasture A grazed 18 cows for 4 months B 25 cows for 2 months C 28 cows for 5 months and D 21 cows for 3 months total rent of the field is 1625, A’s share of rent is:

(1) Rs. 250 (2) Rs. 300 (3) Rs. 360 (4) Rs. 650

8. A,B,C rented a video cassette at a rent of 350. If they use if for 6 hrs, 10 hrs and 12 hrs. Rent to be paid C, is

(1) Rs. 75 (2) Rs. 125 (3) Rs. 135 (4) Rs. 150

9. Amit started a business investing Rs. 25000. After 3 months, Vinay joined him. With a capital of Rs.

LeVeL - 1

30000. At the end of the year they make a profit of Rs. 19000. What will be Amit’s share in the profit?

(1) Rs. 9423 (2) Rs. 10000 (3) Rs. 12500 (4) none

10. A,B and C start a business each investing Rs. 20000. After 5 months A withdrew Rs. 5000, B Rs. 4000 and C invested Rs. 6000 more. At the end of the year a total profit of Rs. 69900 was recorded. What is share of B?

(1) Rs. 20500 (2) Rs. 21200 (3) Rs. 27300 (4) Rs. 28200

11. A,B,C enter into partnership. A initially invests Rs. 25 lakhs and another Rs.10 Lakhs after one year. B initially invests Rs. 35 lakhs and withdraws Rs. 10 lakhs after 2 years and C invests Rs. 30 lakhs. In what ratio should the profits be divided at the end of 3 years?

(1) 10:10:9 (2) 19:19:18 (3) 20:20:19 (4) None

12. A,B,C enter into partnership and their capitals are into the proportion 1/3:1/4:1/5, a withdraws half his capital after 4 months. Out of a total annual profit of Rs. 8470, A’s share is:

(1) Rs. 2520 (2) Rs. 2800 (3) Rs. 3150 (4) Rs. 4120

13. In a partnership A invests 1/6 of the capital of 1/6 of the time B invests 1/3 of the capital for 1/3 of the time and C, the rest of the capital for the whole time. Out of a profit of Rs. 23000, B’s share is

(1) Rs. 4000 (2) Rs. 5000 (3) Rs. 3250 (4) Rs. 4800

14. A and B started a business with initial investments in the ratio 12:11 and their annual profits were in the ratio 4:1. If A invested the money for 11 months B invested the money for:

(1) 3 months (2) 4 months (3) 5 months (4) 7 months

15. A began a business with Rs. 4500 and was joined

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afterwards by B with Rs. 5400. If the profits at the end of the year were divided in the ratio 2:1, B joined the business after:

(1) 4 mnth (2) 5 mnth (3) 6 mnth (4) 7 mnth

16. A and B partners in a business. A contributes ¼ of the capital for 15 months and B received 2/3 of the profit. Find how long B’s money was used.

(1) 6 mnth (2) 9 mnth (3) 10 mnth (4) 1 year

17. A and B enter into partnership. A invests Rs. 16000 for 8 months and B remains in the business for 4 months. Out of a total profit, B claims 2/7 of the profit. How much money was contributed by B?

(1) 11900 (2) 10500 (3) 13600 (4)12800

18. A is a working and B, a sleeping partner in a business. A puts in Rs. 12000 and B Rs. 20000. A receives 10% of the profits for managing, the rest being divided in proportion to their capitals. Out of a total profit of Rs.18000 the money received by A is:

(1) Rs. 6480 (2) Rs. 8400 (3) Rs. 7875 (4) Rs. 8325

19. A is a working and B, a sleeping partner in a business. A puts in Rs. 20000 and B Rs. 30000. A receives 20% of the profits for managing, the rest being divided in proportion to their capitals. Out of a total profit of Rs. 50000 the money received by A is:

(1) Rs. 26000 (2) Rs. 24000 (3) Rs. 30000 (4) Rs.20000

20. A,B,C subscribe Rs. 50000 for a business. A subscribes Rs. 4000 more than B and B Rs. 5000 More than C. Out of a total profit of Rs. 35000, A receives:

(1)8400 (2)11900 (3)13600 (4)14700

21. A,B,C subscribe Rs. 80000 for a business. A subscribes Rs. 10000 more than B and B Rs. 20000 More than C. Out of a total profit of Rs. 40000, A receives:

(1) 32000 (2) 31900 (3) 33600 (4) 20000

answer key1. (1) 2. (3) 3. (1) 4. (1) 5. (1)6. (3) 7. (3) 8. (4) 9. (2) 10. (2)11. (2) 12. (2) 13. (1) 14. (1) 15. (4)16. (3) 17. (4) 18. (3) 19. (1) 20. (4)21. (4)

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Partnership LeVeL-2

1. A, B and C enter into partnership. A invests some money at the begging B invests double the amount after 6 months and C invests thrice the amount after 8 months. If the annual profit be Rs. 27000, C’s share is:

(1) 8625 (2) 9000 (3) 10800 (4) 11250

2. A, B and C entered in to a partnership. A invested Rs. 2560 and B invested Rs. 2000. At the end of the year they gained Rs. 1105, out of which a got Rs. 320. C’s capital was:

(1) Rs. 2840 (2) Rs. 4028 (3) Rs. 4280 (4) Rs. 4820

3. A,B and C are three partners in a business. If A’s capital is equal to twice B’s capital and B’s capital is three times C’s capital, ratio of the capitals of A,B,C is

(1) 2:1:3 (2) 1:2:6 (3) 6:3:1 (4) 1:3:6

4. A,B and C start a business. A invests 3 times as much as B invests and B invests two third of C invests. Then the ratio of capitals of A,B ,C is:

(1) 3:9:2 (2) 6:10:15 (3) 5:3:2 (4) 6:2:3

5. A,B,C started a shop by investing Rs.27000, Rs. 81000 and Rs.72000 respectively. At end of the one year, B’s share of total profit was Rs.36000. What total profit?

(1) 108000 (2) 116000 (3) 80000 (4) 92000

6. A and B started a joint firm. A’s investment was thrice the investment of B and the period of his investment was twice the period of investment of B. If B got Rs. 12000 as profit then the total profit was

(1) 72000 (2) 48000 (3) 84000 (4) 60000

7. A and b entered into partnership with capitals in the ratio 4:5. After 3 months A withdraw ¼ of his capital and B withdrew 1/5 of this capital. The gain at the end of 10 months was Rs. 15200. A’s

share in this profit is: (1) Rs. 7200 (2) Rs. 6600 (3) Rs. 7800 (4) Rs. 8200

8. A,B,C became partners in a business by investing money in ratio 5:7:6. Next year they increase their investments by 26%, 20% and 15%. profit earned during 2nd year should be distributed in ratio.

(1) 21:28:23 (2) 26:20:15 (3) 31:27:21 (4) None

9. A and B invest in business in the ratio 3:2. If 5% of the total profit goes to charity and A’s share is Rs. 8550, then total profit is:

(1) 15760 (2) 15735 (3) 15000 (4) 14250

10. P and Q started a business investing Rs. 85,000 and Rs. 115,000 respectively. In what ratio the profit earned after years be divided between P and Q respectively?

(1) 3:4 (2) 3:5 (3) 15:23 (4) 17:23

11. Anand and Deepak started a business investing Rs. 22,500 and Rs. 35,000 respectively. Out of a total profit of Rs. 13,800, Deepak share is

(1) Rs. 5400 (2) Rs. 7200 (3) Rs. 8400 (4) Rs. 9600

12. A and B are partners in a business. A invests 35,000 for 8 months and B invests 42,000 for 10 months. Out of a profit of 31,570. A’s share is:

(1) 9471 (2) 12,628 (3) 18,040 (4)18,942

13. Kamal started a business investing Rs. 9000. After 5 months Sameer joined with a capital of Rs. 8000. If at the end of the year, they earn a profit of Rs. 6970, then what will be the share of Sameer in the profit?

(1) Rs. 1883.78 (2) Rs. 2380 (3) Rs. 3690 (4) Rs. 3864

14. Simran started a software business by investing Rs. 50,000. After six months, Nanda joined her with a capital of Rs. 80,000. After 3 years, they earned a profit of Rs. 24,500. What was Simran’s share in the profit?

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(1) 9423 (2) 10,250 (3) 10,500 (4) 14,000 (5) None

15. A and B started a business in partnership investing Rs. 20,000 and Rs. 15,000 respectively. After six months, C joined them with Rs. 20,000. What will be B’s share in the total profit of Rs. 25,000 earned at the end of 2 years from the starting of the business?

(1) 7500 (2) 9000 (3) 9500 (4) 10,000 (5) None

16. A began a business with Rs. 85,000. He was joined afterwards by B with Rs. 42,500. For how much period does B join, if the profits at the end of the year are divided in the ratio of 3:1?

(1) 4 month (2) 5 month (3) 6 month (4) 8 month

17. A, B and C enter into a partnership. They invest Rs. 40,000, Rs.80,000 and Rs. 1,20,000 respectively. At the end of the first year, B withdraw Rs. 40,000, while at the end of the second year, C withdraws Rs. 80,000. In what ratio will profit be shared at the end of 3 years?

(1) 2:3:5 (2) 3:4:7 (3) 4:5:9 (4) None

18. Two friends P and Q started a business investing in the ratio of 5:6. R joined them after six months investing and amount equal to that of Q’s. At the end of the year what ratio P,Q,R, is.

(1) 5:7:8 (2) 28:49:64 (3) 5:6:3 (4) None

19. A, B, C hired a car for Rs. 520 and used it for 7,8 and 11 hours respectively. Hire charges paid by B were

(1) 140 (2) 160 (3) 180 (4) 220

20. A and B started a partnership business investing some amount in the ratio of 3:5 C joined them after six months with an amount equal to that of B. in what proportion should the profit at the end of one year be distributed among A,B and C.

(1) 3:5:2 (2) 3:5:5 (3) 6:10:5 (4) None

21. A, B and C enter into a partnership and their shares are in the ratio ½,1/3,1/4.After 2 months, A withdraws half of his capital and after 10 months,

a profit of Rs. 371 is divided among them. What is B’s share?

(1) 129 (2) 140 (3) 156 (4) 168

22. A, B and C enter into a partnership in the ratio

56:

34:

27

After 4 months A increases his share by 0% . If the total profit at the end of one year be Rs. 21,600, then B’s share in the profit is

(1) 2100 (2) 2400 (3) 3600 (4) 4000

23. A and B entered into partnership with capitals in the ratio4:5. After 3 months, A withdrew ¼ of his capital and B withdrew 1/5 of his capital. The gain at the end of 10 months was Rs. 760. A’s share in this profit is

(1) 330 (2) 360 (3) 380 (4) 430

24. A, B and C jointly thought of engaging themselves in a business venture. It was agreed that A would invest Rs. 6500 for 6 months, B Rs. 8400 for 5 months and C, Rs. 10,000 for 3 months. A wants to be the working member for which he was to receive 5 % of the profits. The profit earned was Rs. 7400. Calculate the share of B in the profit.

(1) 1900 (2) 2660 (3) 2800 (4) 2840

25. A, B and C enter into a partnership with a capital in which A’s contribution is Rs. 10,000. If out of a total profit of Rs. 1000,, A gets Rs. 500 and B gets Rs. 300, then C’s capital is

(1) 4000 (2) 5000 (3) 6000 (4) 9000

answer key1. (2) 2. (3) 3. (3) 4. (4) 5. (3) 6. (3) 7. (2) 8. (1) 9. (3) 10. (4)11. (3) 12. (2) 13. (2) 14. (3) 15. (1)16. (4) 17. (2) 18. (3) 19. (2) 20. (3)21. (2) 22. (4) 23. (1) 24. (2) 25. (1)

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Partnership LeVeL-3

1. Two Partners A and B start a business by investing ` 50,000 and ` 40,000 respectively. What will the ratio of their profits at the end of the year?

(1)5 : 4 (2) 3 : 6 (3) 4 : 5 (4) 6 : 3 (5)None of these

2. A start a business with ̀ 25,000. After 4 months B joins him with Rs. 20,000. What will be the ration of their profit at the end of the years

(1) 4 : 8 (2) 5 : 10 (3) 15 : 8 (4) 9 : 18 (5) None of these

3. A starts a business with ̀ 21,000/- and later B joins him with ` 36,000/- After how many months did B join it the profit is distributed in equal ration?

(1) 5 (2) 7 (3) 6 (4) 9 (5) None of these

4. Shrikant and Vividh started a business investing amount of ` 1,85,000 and ` 2,25000 respectively. If Vividh’s share in the profit earned by them is ̀ 9,000, then what is the total profit earned by them together?

(1) ` 17,400 (2) ` 16,400 (3) ` 16,800 (4) ` 17,800 (5) None of these

5. Beena and Meena started a boutique investing amounts of ` 35,000 and ` 56,000 respectively. If Beena’s share in the profit earned by them is ` 45,000, then what is the total profit earned?

(1) ` 81,000 (2) ` 1,27,000 (3) ` 72,000 (4) ` 1,17,000 (5) None of these

6. Rasika and Nikita invested amounts of ` 40,000 and ̀ 75,000 respectively. At the end of five years they got a total dividend of ` 46,000. What is Rasika’s share in the dividend?

(1) ` 16,500 (2) ` 15,500 (3) ` 15,000 (4) ` 16,000 (5) None of these

7. Avinash invested an amount of ` 25,000 and started a business. Jitendra joined him after one year with an amount of ` 30,000. After two year form starting the business. They earned the profit of ` 46,000. What will be Jitendra’s share in the profit?

(1) ` 14,000 (2) ` 12,000 (3) ` 7,667

(4) ` 20,000 (5) None of these

8. Mr. Ramesh opened a workshop investing a ` 40,000. He invested additional amount of ̀ 10,000 every year. After two years his brother Suresh joined him with an anoint of ` 85,000. Thereafter Suresh did not invest any additional amount. On completion of four years from the opening of workshop they earned an amount of ` 1,95,000. What will be Ramesh’s Share in the earning?

(1) ` 85,000 (2) ` 1,10,000 (3) ` 1,35,000 (4) ` 95,000 (5) None of these

9. A and B enter into a partnership with their capitals in the ratio 7 : 9. At the end of 9th month, A withdraws his capital. If they receive the profits in the ratio 8 : 9, find how long B’s capital was used.

(1) 4 months (2) 6 months (3) 7 months (4) 8 months (5) None of these

10. A and B enter into a partnership with capitals in the ratio 5:6: and at the end of 8 months. A withdraws. If they receive profits in the ratio of 5 : 9, find how long B’s capital was used.

(1) 8 months (2) 9 months (3) 11months (4) 12 months (5) None of these

11. A began a business with ` 450 and was joined afterwards by B with ` 300. After how many months did B join if the profits at the end of the year were divided the ratio 2 : 1?

(1) 2 months (2) 3 months (3) 4months (4) 5 months (5) None of these

12 A and B rent a pasture for 10 months. A puts in 100 cows for 8 months. How many cows can B put in for the remaining 2 months. If he pays 1½ as much as A?

(1) 450 cows (2) 550 cows (3) 600 cows (4) 650 cows (5) None of these

13 A and B rent a pasture for 10 months; and A puts in 90 oxen for 7 months. How many oxen can B put in for the remaining 3 months, if he pays half as much as A?

(1) 105 (2) 110 (3) 115 (4) 120

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(5) None of these

14 A , B and C get a video cassette for ` 350. If they use if for 6 hours, 10 hours and 12 hours respectively then how much rent did C pay?

(1) ` 275 (2) ` 350 (3) ` 325 (4) ` 248 (5) None of these

15 Four milkmen hires a pasture. A has 18 cows that graze for 4 months, B has 25 cows that graze for 2 months, C has 28 cows that graze for 5 months and D has 29 cows that graze for 5 months and D has 21 cows that graze for 3 months, If A pays ‘360 then what is the rent of the pasture?

(1) ` 1625 (2) ` 1240 (3) ` 1340 (4) ` 2260 (5) None of these

16 Two partners invest ` 125,000 and ‘85000 respectively in a business and agree that 60% of the profit should be divided equally between them and the remaining profit is to be treated as interest on capital. If one partner gets ‘300 more than the other, find the total profit made in the business.

(1) ` 3739.50 (2) ` 3937.50 (3) ` 3749.50 (4) ` 3947.50 (5) None of these

17 Two partners invested ` 50,000 and ` 70,000 respectively in a business and agreed that 70% of the profit should be divided equally between them and the remaining profit in the ratio of investment. If one partner gets ̀ 90 more than the other, find the total profit made in the business.

(1) ` 1200 (2) ` 1400 (3) ` 1600 (4) ` 1800 (5) None of these

18 The investments made by A and B are in the ratio 3 : 2. If 5% of total profit is donated and A gets 8,550 as his share of profit then what is the amount of total profit?

(1) ` 14000 (2) ` 15,000 (3) ` 11,500 (4) ` 12,020 (5) None of these

19 An amount of money is to be distributed among A, B and c in the ratio of 3 : 3 : 5. ` 22,000, then what will be the total share of A and C?

(1) ` 16,500 (2) ` 15,000 (3) ` 12,500 (4) ` 16,000 (5) None of these

20 A, B and C divide an amount of ` 9,915 amongst themselves in the ratio 3 : 5 :7 respectively. What is the C’s share in the amount?

(1) ` 4,527 (2) ` 5,627 (3) ` 6,627 (4) ` 7,627 (5) None of these

21 Sheena, Meena and Reena invest amounts of ` 63,000. ` 56,000 and ` 84,000 respectively to start a business. At the end of the year the profit is distributed in the ratio of their investments. If Reena’s share o profit is ̀ 54,000, what is the total profit earned?

(1) ` 1,30,500 (2) ` 1,45,000 (3) ` 1,35,030 (4) Can’t be determined (5) None of these

22 Three partners A, B and C invest ` 1600, ` 1800 and ̀ 2300 respectively in a business. How should they divide a profit of ‘1938?

(1)` 544, ` 612, ` 782 (2)` 548, ` 632, ` 772 (3)` 558, ` 662, ` 752 (4)` 568, ` 642, ` 752 (5)None of these

23 A, B, C, enter into a partnership. A contributes ` 3,20,000 for 4 months, an C contributes ̀ 5,10,000

for 3 months and C contributes ` 2,70,000 for 5 months. If the total 0profit be ̀ 1.24,800. Then A’s share of profit is

(1) ` 38,400 (2) ` 45,900 (3) ` 40,500 (4) ` 41,500 (5) None of these

24 A, B and C enter into partnership. A advances ` 1200 for 4 months. B ` 1400 for 8 months, and C ` 1000 for 10 months. They gain ` 585 altogether. Find the share of each.

(1) ` 118, ` 242, ` 235 (2) ` 108, ` 252, ` 225 (3) ` 128, ` 242, ` 215 (4) ` 138, ` 262, ` 245 (5) None of these

25 A, B an C invested capitals in the ratio 2 : 3 : 5; the timing of their investment being in the ratio 4 : 5 : 6. In what ratio would their profit be distributed?

(1) 6 : 12 : 32 (2) 8 : 15 : 30 (3) 12 : 32 : 18 (4) 6 : 32 ; 12 (5) None of these

26 A, B and C enter into a partnership with capitals in the ration 5 ; 6 : 8. At the end of the business term, they received the profits in the ratio 5 : 3 : 12. Find the ratio of time for which they contributed their capitals?

(1) 2 : 1 : 3 (2) 1 : 2 : 3 (3) 2 : 3 : 1 (4) 3 : 2 : 1 (5) None of these

27 A and B entered into a partnership. Investing ` 16,000 and ` 12,000 respectively. After 3 months, ‘A’ withdrew ` 5000, while ‘B’ invested ‘5000

103


more. After 3 month more C joins the business with a capital of ` 21,000. After a year, they obtained a profit of ` 26,400. By what amount does the share of B exceed the share of C?

(1) ` 3600 (2) ` 3800 (3) ` 4600 (4) ` 4800 (5) None of these

28 There are three partners A, B and C in a business. A puts in ̀ 2000 for 5 months B ̀ 1200 for 6 months and C ` 2500 for 3 months. If at the end of year the profits is ‘508.82. What will be the share of A?

(1) ` 202 (2) ` 204 (3) ` 206 (4) Can’t be determined (5) none of these

29. A and B enter into a partnership for a year. A contributes ` 3000 and B ` 4000. After 4 months, they admit C, who contributes ` 4500. If B withdraws his contribution after 6 months, How would they share a profit of ` 1000 at the end of the year?

(1) ` 250, ` 200, ` 550 (2) ` 150, ` 200, ` 650 (3) ` 375, ` 250, ` 2375 (4) Data Inadequate (5) None of these

30. A and B enter into a partnership for a year. A contributes ` 1500 and B ‘2000. After 4 months they admit C, who contributes ` 2250. If B withdraws his contributes after 9 months, how would they share a profit of ` 900 at the end of the year?

(1) ` 300 per person (2) ` 350 per person (3) ` 400 per person (4) ` 450 per person (5) None of these

31. A and B enter into a speculation. A puts in ` 50 and B puts in ` 45. At the end of 4 months A withdraws half his capital and at the end of 6 months B withdraws half of his capital. C then enters with a capital of ` 70. At the end of 12 months. In what ratio will the profit be divided?

(1) 60 : 51 : 34 (2) 70 : 61 : 44 (3) 80 : 61 : 54 (4) 80 : 81 : 84 (5) None of these

32 A, B and C start a business by investing ` 20,000 each, after 5 months A withdraws ` 4,000 and c invests ̀ 6,000 more. If at the end of year the profit was ` 69,900 the what will be B’s share?

(1) ` 20,500 (2) ` 21,200 (3) ` 28,200 (4) ` 19,621 (5) None of these

33. A, B and C start a business, twice the capital of A is equal to thrice the capital of B and B’s capital is four times C’s capital. What will be B’s share if the profit earned is ` 2,97,000/-.

(1) ` 1,07,000 (2) ` 1,08,000 (3) ` 1,10.300 (4) ` 1,15,000 (5) None of these

34 A , B and C are partner in a business. If A/s Capital is twice of B’s capital and B’s capital is three times to that of C’s capital then find the ratio of their investments.

(1) 6 : 3 : 1 (2) 3 : 8 : 1 (3)4 : 9 : 3 (4) 3 : 1 :5 (5) None of these

35 A, B and c start a business with a sum of ̀ 50,000. A invests ̀ 4,000 more than B and B invests ̀ 5,000 more than C. What will be A’s share it total profit is ` 35,000?

(1) ` 36,000 (2) ` 35,000 (3) ` 35,490 (4) ` 36,500 (5) None of these

36 A, B and C start a partnership. A invests certain sum, B invests the double amount after 6 months and C invests three times the amount after 8 months. What will be C’s share if the profit is ` 27,000 at the end of the years?

(1) ` 9,000 (2) ` 9,002 (3) ` 9,287 (4) ` 9,820 (5) None of these

37 A and C invest capital in the ratio of 2 : 1 while A and B invest capital in the ratio of 3 : 2. If their annual profit is ` 1,57,300 then what is B’s share?

(1) ` 48,400 (2) ` 58,809 (3) ` 48,810 (4) ` 47,782 (5) None of these

38 A, B and C enter into partnership. A advances one-fourth of the capital for one- fifth of the time. B contributes one –fifth of the capital for half of the time. C contributes the remaining capital for the whole time. How should they divided a profit of `1140?

(1) ` 100, ` 160, ` 880 (2) ` 110, ` 140, ` 860 (3) ` 120, ` 150, ` 840 (4) ` 140, ` 170, ` 830

answer key1. (1) 2. (3) 3. (1) 4. (2) 5. (4)6. (4) 7. (5) 8. (2) 9. (3) 10. (4)11. (2) 12. (3) 13. (1) 14. (5) 15. (1)16. (2) 17. (4) 18. (2) 19. (4) 20. (1)

104


21. (1) 22. (1) 23. (1) 24. (2) 25. (2)26. (1) 27. (1) 28. (3) 29. (3) 30. (1)31. (4) 32. (2) 33. (2) 34. (1) 35. (5)36. (1) 37. (1) 38. (1)

105


131. The sum of the ages of A , B and C is 60 years. If

their ages are in ratio of 1:2:3. The age of C is: (1) 10 (2) 30 (3) 20 (4) 25

2. The sum of the ages of A , B and C is 60 years now. 10 years after, their ages were in the ratio of 2:3:4. The present age of B is :

(1) 40 (2) 45 (3) 30 (4) 20

3. The sum of the ages of A and B is 60 years now. Five years ago, their ages were in the ratio of 2:3. The ratio of ages of A and B after 10 years will be:

(1) 4:3 (2) 4:5 (3) 3:5 (4) 7:9

4. The ratio of laxmi’s age to the age of her mother is 3:11. The difference between their ages is 24 years. The ratio of their ages after 3 years will be:

(1) 1:3 (2) 2:3 (3) 3:5 (4) 2:5

5. The difference between the present ages of Anil and Sudhir is 6 years. The ratio between their ages after 4 years will be 3:4. What can be the present age of Sudhir?

(1) 15 yrs (2) 10 yrs (3) 20 yrs (4) 24 yrs

6. X is 36 years and Y is 16 years. In how many years will X be twice as old as Y?

(1) 1 yrs (2) 2 yrs (3) 3 yrs (4) 4 yrs

7. Hitesh is 40 years old and Ronnie is 60 years old. How many years ago was ratio of their ages 3:5?

(1) 5 yrs (2) 10 yrs (3) 20 yrs (4) 37 yrs

8. Yogesh is as much younger to Anil as he is older to Prashant. If the sum the ages of Anil and Prashant is 48 years. What is the age of Yogesh.

(1) 20 yrs (2) 24 yrs (3) 30 yrs (4) None

9. The ratio of the ages of Ajay and Vijay is 3:4. After 5 years the new ratio of their ages will be 4:5. What is the age of Vijay at present?

(1) 15 yrs (2) 18 yrs (3) 20 yrs (4) 24 yrs

10. The ages of two persons are in the ratio of 5:7.

LeVeL - 1

Sixteen years ago their ages were in the ratio of 3:5. Their present ages are:

(1) 30 years, 44 years (2) 35 years, 52 years (3) 40 years, 56 years (4) 45 years, 60 years

11. A man’s age is now three times that of his son. In 15 after it will be double that of his son. The present age of the son is

(1) 15 yrs (2) 18 yrs (3) 21 yrs (4) 24 ysr

12. The present age of a man is five times the age of his son. Five years ago, the age of the man was ten times the age of his son at that time. How old is the man at present?

(1) 45 yrs (2) 48 yrs (3) 49 yrs (4) None

13. The product of Ramu’s age 5 years ago with his age 7 years later is 28. Ramu’s present age is:

(1) 4 yrs (2) 6 yrs (3) 7 yrs (4) 8 yrs

14. The product of Ram’s age 8 years ago with his age 10 years later is 40. Ram’s present age is:

(1) 14 yrs (2) 10 yrs (3)1 7 yrs (4) 18 yrs

15. Kamla got married 6 years ago. Today her age is 1/4 times more her age at the time of marriage. Her son’s age is 1/10 times her age. Her son’s age.

(1) 2 yrs (2) 3 yrs (3) 4 yrs (4) 5 yrs

16. Rani got married 10 years ago. Today her age is 1/3 times more her age at the time of marriage. Her son’s age is 1/8 times her age. Her son’s age is

(1) 2 yrs (2) 3 yrs (3) 4 yrs (4) 5 yrs

17. The sum of the ages of a father and son is 45years. Five years ago, the product of their ages was four times the father’s age at that time. The present ages of father and son respectively are:

(1) 25years, 10 years (2) 36 years, 9years

(3) 39 years , 6 years (4) none of this

18. The sum of the ages of a father and son is 50 years.

ages

106


Six years ago, the product of their ages was 5 times the father’s age at that time. The present ages of the father is :

(1) 35yrs (2) 36 yrs (3) 39 yrs (4) none

answer key1. (2) 2. (3) 3. (4) 4. (1) 5. (3)6. (4) 7. (2) 8. (2) 9. (3) 10. (3)11. (1) 12. (1) 13. (3) 14. (2) 15. (2)16. (4) 17. (2) 18. (3)

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ages LeVeL-2

1. The average age of a man and his two twins sons born on the same day is 30 years. The ratio of the ages of father and one of his sons is 5 : 2 respectively. What is the Father’s age ?


2. The ratio between the present ages of Tarun and Varun is 3 : 7 respectively. After 4 years Varun’s age will be 39 years. What was Tarun’s age 4 years ago ?


3. Four years ago the ratio between the ages of Veena and Rina was 15 : 11 respectively. The ratio between their present ages is 17 : 13 respectively. What will be Rina’s age 3 years hence?


4. The ratio between the present ages of Indira and Lizzy is 3 : 8 respectively. After eight years Indira’s age will be 20 years: what was Lizzy’s age 5 years ago ?

(1) 37 years (2) 27 years, (3) 28 years (4) 38 years (5) None of these

5. The average age of father and son at present is 27 years. Also the difference between their ages is 30 years. What is the respective ratio between the present age of Father and the present age of son?

(1) 8:3 (2) 7: 2 (3) 2:7 (4) 3:8 (5) None of these

6. The respective ratio of the present ages of Seeta and Geeta is 8 : 9. The sum of their ages is 68. What will be the respective ratio of their ages 10 years hence ?

(1) 23: 24 (2) 15: 16 (3) 7 : 8 (4) 21 : 23 (5) None of these

7. The average age of Nitika and Kruti is 21 years. The ratio of their ages is 4 : 3 respectively. What is Kruti’s age ?

(1) 18 years (2) 24 years (3) 26 years

(4) 16 years (5) None of these

8. The ratio between the present ages of Rakhi and Sita is 5 : 7 respectively. After eight years Rakhi’s age will be 28 years. What was Sita’s age 5 years ago ?


9. The ratio of the present ages of Sunita and Vinita is 4 : 5. Six years hence the ratio of their ages will be 14 :17. What will be the ratio of their ages 12 years hence ?

(1) 15 : 19 (2) 13 :15 (3) 16 : 19 (4) 17 : 19 (5) None of these

19. The ages of Samir and Ram are in the ratio 8:15. After 9 years, the ratio of their ages will be 11:18. What is difference between their age

(1) 20 years ( 2 ) 2 1 years

(3) 24 years (4) 33 years

20. The ratio of the ages of a father and his son 10 years hence will be 5:3, while 10 years ago, it was 3:1. The ratio of the age of the son to that of his father today is

(1) 1:2 (2) 1:3 (3) 2:1 (4) 2:5

21. The ratio of present ages of two brothers is 1:2 and 5 years back the ratio was 1:3. What will be the ratio of their ages after 5 years?

(1) 1:4 (2) 2:3 (3) 3:5 (4) 5:6

22. Fifteen years hence a man will be just four times as old as he was 15 years ago. His present age is

(1) 10 yrs (2) 15 yrs (3) 20 yrs (4) 25 yrs

23. Three years ago the average age of A and B was 18 years. With C joining them now the average becomes 22 years. How old is C now?

(1) 24 yrs (2) 27 yrs (3) 28 yrs (4) 30 yrs

24. One year ago a man was 7 times as old as his son. Now his age is equal to the square of his son’s age. The present age of the man will be

(1) 7 yrs (2) 36 yrs (3) 49 yrs (4) 64 yrs

108


25. The ratio of a man’s age to his son’s 4:1. The product of their ages is 196. The ratio of their ages after 5 years will be:

(1) 3:1 (2) 10:3 (3) 11:4 (4) 14:5

26. A is 2 years older than B who is twice as old as C. If the total of the ages of A,B,C be 27 years, then how old is B?

(1) 7 yrs (2) 8 yrs (3) 9 yrs (4) 10 yrs 5. 11 yrs

27. 10 years ago, Chandravatis mother was four times older then her daughter. After 10 years, the mother will be twice older then daughter. The present age of Chandravati is:

(1) 5 yrs (2) 10 yrs (3) 20 yrs (4) 30 yrs

28. my grandfather was 8 times older to me 16 years ago. He would be 3 times of my age 4 yeas from now. Eight years ago, what was the ratio of my age to that of my grandfather?

(1) 1:2 (2) 2:9 (3) 3:8 (4) 9:2

29. The present ages of A , B, C, are in the proportion 10 : 11 : 12. five years ago the sum of their AGES was 150. Their present ages are:

(1) 20 yrs , 22 yrs , 24 yrs (2) 30 yrs , 33 yrs , 36 yrs (3) 50 yrs , 55 yrs , 60 yrs (4) 55 yrs , 60 yrs , 65 yrs

30. The ratio between the present ages of Ravi and jai is 3:2. If Ravi was 6 years older to Jai four years back. how old is jai now?

(1) 6 years (2) 12 years (3) 18 years (4) None

answer key1. (2) 2. (4) 3. (4) 4. (1) 5. (3)6. (4) 7. (2) 8. (2) 9. (3) 10. (3) 11. (1) 12. (1) 13. (3) 14. (2) 15. (2)16. (4) 17. (2) 18. (3) 19. (2) 20. (1)21. (3) 22. (4) 23. (1) 24. (2) 25. (3)26. (4) 27. (3) 28. (2) 29. (3) 30. (2)

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141. The ratio in which two sugar solutions of the

concentrations 15% and 40 % are to be mixed to get a solution of concentration 30% is:

(1) 2 : 3 (2) 3 :2 (3) 8 :9 (4) 9 : 8 (5) None of these

2. In what ratio must a grocer mix two varieties of pulses costing Rs.15 and Rs20/ kg respectively so as to get a mixture worth Rs. 17 kg?

(1) 2:3 (2) 3:2 (3) 4:1 (4) 1:4

3. Find the ratio in which rice at Rs. 7.20 a kg be mixed with rice at Rs. 5.70 a kg to produce a mixture worth Rs. 6.30 a kg.

(1) 2:3 (2) 3:2 (3) 4:1 (4) 1:4

4. On combining two groups of students having 30 and 40 marks respectively in an exam, the resultant group has an average score of 34. Find the ratio of the number of students in the first group to the number of students in the second group

(1) 2 : 1 (2) 3 : 2 (3) 3 : 1 (4) 4 : 3

5. On mixing two classes of students having average marks 25 and 40 respectively, the overall average obtained is 30 marks. Find the number of students in first class if the second class has 30 students

(1) 45 (2) 60 (3) 70 (4) 80

6. 4 kg of rice at Rs. 5/ kg is mixed with 8 kg of rice at Rs. 6/kg. Find the average price of the mixture

(1) Rs. 5 per kg (2) Rs. 5.55 per kg (3) Rs. 5.66 per kg (4) Rs. 6 per kg

7. 5 kg of rice at Rs. 6 per kg is mixed with 4 kg of rice to get a mixture costing Rs. 7 per kg. Find the price of costlier rice

(1) Rs. 7.00 (2) Rs. 7.50 (3) Rs. 8.00 (4) Rs. 8.25

8. A sum of Rs. 7.50 is made up of 21 coins which are either 25 paise or 50 paise coins. How many coins are there of 50 paise?

(1) 9 (2) 12 (3) 7 (4) 10

LeVeL - 1

9. In what proportion must water be mixed with spirit to gain 12 ½ % by selling it at CP?

(1) 2 : 7 (2) 1 : 8 (3) 1 : 9 (4) 2 : 9

10. In what ratio a grocer mix tea at Rs. 22 per kg and Rs. 32 per kg, so that by selling that mixture at Rs. 28 he may gain 12%?

(1) 3 : 5 (2) 7 : 3 (3) 8 : 3 (4) 3 : 11

11. In a zoo, there are some pigeons and some rabbits. If their heads are counted these are 100 and if their legs are counted these are 320. How many pigeons are there?

(1) 66 (2) 60 (3) 40 (4) 45

12. A mixture of 70 L of milk and water contains 10% water. How many litres of water must be added, so that water may be 30% of £he mixture?

(1) 35 L (2) 33 L (3) 20 L (4) 25 L

13. A mixture of 150 L of wine and water contains 20% water. How many litres of water must be added so that water may be 25% of the mixture?

(1) 12 L (2) 8 L (3) 10 L (4) 6 L

14. Gold is 20 times heavier than water and copper 9 times. In what ratio should these metals be mixed so that the mixture may be 15 times as heavy as water?

(1) 6 : 5 (2) 3 : 2 (3) 5 : 1 (4) 4 : 3

15. A goldsmith has two qualities of gold. One of 14 carats and another of 18 carats purity. In what proportion should he mix both to make an ornament 15 carats purity?

(1) 3 : 1 (2) 2 : 5 (3) 4 : 3 (4) 5 : 4

16. Pure milk costs Rs. 21.50 per litre. A milk man adds water to 60 L of pure milk and the resultant mixture costs Rs. 20 per litre. How many litres of water does he add?

(1) 523

L (2) 312

L (3) 214

L (4) 431

L

17. A merchant lent out Rs. 6440 in two parts, one at 8% and the other at 12% interest. If the yearly

allegation or Mixture

110


average interest comes out to be 9%. Find the amount lent at 12% interest?

(1) Rs. 1610 (2) Rs. 4830 (3) Rs. 2640 (4) Rs. 3610

18. A trader has 320 kg of tea, a part of which he sells at 18% profit and the rest at 26% profit. He gains 21% on the whole. What is the quantity sold at 18% profit?

(1) 215 kg (2) 200 kg (3) 120 kg (4)165 kg

19. A trader has 280 L of oil, a part of which he sells at a profit of 18% and the rest at 10% loss. He gains 14% on the whole. What is the quantity sold at 10% loss?

(1) 40 L (2) 110 L (3) 240 L (4) 160 L

20. A trader has 200 kg of rice, a part of which he sells at 18% profit and the rest at 12% loss. On the whole he loses 6%. What is the quantity sold at 12% loss?

(1) 120 kg (2) 160 kg (3) 40 kg (4) 60 kg

21. A person travels 340 km in 8 h. The first part of the journey, he travels by car at the speed of 50 km/h and in the second part of the journey he travels by train at the speed of 38 km/h. How many km did he travel by train?

(1) 120 km (2) 190 km (3) 150 km (4)210 km

22. A dealer mixes tea costing Rs. 50 per kg with a high quality tea and sells the mixture at Rs. 54 per kg. If the ratio in which the two quality tea were mixed is 2 : 1, what is the cost of higher quality tea?

(1) Rs.62 per kg (2) Rs. 58 per kg (3) Rs. 66 per kg (4) Rs. 72 per kg

23. In what ratio should water and 66% wine solution be mixed to obtain 55% wine solution?

(1) 2 : 5 (2) 1 : 5 (3) 2 : 3 (4) 1 : 4

24. How much of 25% spirit solution be mixed with 21 L of 75% spirit solution to obtain a resultant 40% spirit solution?

(1) 15 L (2) 49 L (3) 12 L (4) 18 L

25. In a mixture of 60 L, the ratio of milk and water is 2 : 1. If the ratio of milk and water is to be 1 : 2, then the amount of water to be further added

must be (1) 40 L (2) 30 L (3) 20 L (4) 60 L

26. One type of liquid contains 25% of milk, the other contains 30% of milk. A container is filled with 6 parts of the first liquid and 4 parts of the second liquid. The percentage of milk in the mixture is

(1) 27% (2) 31% (3) 29% (4) 33%

27. A mixture of 45 L of spirit and water contains 20% of water in it. How much water must be added to it make the water 25% in the new mixture?

(1) 5 L (2) 3 L (3) 4 L (4) 6 L

28. Pure ghee costs Rs. 100 per kg. After adulterating it with vegetable oil costing Rs. 50 per kg, a shopkeeper sells the mixture Rs. 96 per kg, thereby making a profit of 20%. In what ratio does he mix the two?

(1) 1 : 2 (2) 3 : 2 (3) 3 : 2 (4) None of these

29. How many kg of tea worth Rs. 29 per kg must be blended with 25 kg of tea worth Rs. 32 per kg so that by selling the blended variety at Rs. 33 per kg there should be 10% gain?

(1) 45 kg (2) 33 kg (3) 25 kg (4) 50 kg

30. Two groups of students, whose average ages are 20yr and 30yr, combine to form a third group whose average age is 23yr. What is the ratio of the number the first group to the number of students in the second group?

(1) 5: 2 (2) 2: 5 (3) 7 : 3 (4) None of these

31. John stole some whisky from a bottle his father had kept away in the cupboard. This bottle of whisky contained 50% alcohol. John replaced what he had drunk by another brand of whisky which contained only 25% alcohol. The whisky in the bottle now has only 35% alcohol. How much of the bottle did John steal?

(1) 3/5 (2) 2/5 (3) 4/5 (4) 2/3

32. A mixture of 20 kg of spirit and water contains 10% water. How much water (in kg) must be added to this mixture to raise the percentage of water to 25%?

(1) 30 (2) 8 (3) 5 (4) 4

33. One alloy contains lead and tin in the ratio 5 : 1.

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Another alloy contains lead and tin in the ratio 7 : 2. What weights of the 2 alloys should be melted to form a third alloy weighing 100 kgs with 20% tin?

(1) 60kg,40k (2)40kg,60kg (3) 20kg, 30kg (4) None of these

34. In what ratio should water be added to a liquid costing Rs. 15 a liter so as to make a profit of 20% by selling the diluted liquid at Rs. 15 per liter?

(1) 5: 2 (2) 2: 5 (3) 2 : 3 (4) 1:5

answer key1. (1) 2. (2) 3. (1) 4. (2) 5. (2)6. (3) 7. (4) 8. (1) 9. (2) 10. (2)11. (3) 12. (3) 13. (3) 14. (1) 15. (1)16. (3) 17. (1) 18. (2) 19. (1) 20. (2)21. (2) 22. (1) 23. (2) 24. (2) 25. (4)26. (1) 27. (2) 28. (2) 29. (4) 30. (3)31. (1) 32. (4) 33. (2) 34. (2)

112


allegation or Mixture LeVeL-2

1. The total cost price of two watches is Rs. 840. One is sold at a profit of 16% and the other at a loss of 12%. There is no loss or gain in the whole transaction. The cost price of the watch on which the shopkeeper gains is:

(1) Rs. 360 (2) Rs. 370 (3) Rs. 380 (4) Rs. 390

2. How many k.g of sugar costing Rs. 20 per kg must be mixed with 60 kg of sugar costing Rs. 30 per kg the mixture at Rs. 24 per kg?

(1) 50 (2) 40 (3) 90 (4) None

3. How many kilogram of sugar costing Rs. 12 /kg must be mixed with 30 kg of sugar costing Rs. 7 per kg so that there may be a gain of 10% by selling the mixture at Rs. 11 per kg?

(1) 30 (2) 20 (3) 10 (4) None

4. A man whose bowling average is 12.4 takes 5 wickets for 26 runs and thereby decreases his average by 0.4. The number of wickets taken by him his last match is.

(1) 85 (2) 78 (3) 72 (4) 90

5. A man had some hens and cows. If the number of heads be 48 and the number of feet equals 140, then the number of hens is:

(1) 25 (2) 23 (3) 24 (4) 26

6. A man had some hens and cows. If the number of heads be 60 and the number of feet equals 160, then the number of cows is:

(1) 40 (2) 23 (3) 20 (4) 28

7. In an objective examination of200 questions 1 marks are allotted for every correct answer and 0.25 marks are deducted for every wrong answer. After attempting all the 200 questions a student got a total of 120 marks. The number of questions attempted wrong were:

(1) 60 (2) 80 (3) 70 (4) 64

8. A farmer traveled a distance of 61 km in 9 hours. He traveled partly on foot at 4 km/hr and partly on bicycle at 9 km/hr. The distance traveled on foot is :

(1) 14 km (2) 15 km

(3) 16 km (4) 17km


(1) 64 km b) 40 km (3) 96 km d) 56km

10. Two trains running in opposite directions cross a man standing on the platform in 27 seconds and 17 seconds respectively and they cross each other in 23 seconds. The ratio of their speeds is:

(1) 1 : 3 (2) 3 : 2 (3) 3 : 4 (4) 2 : 1

11. Two trains running in opposite directions cross a man standing on the platform in 35 second and 20 second respectively and they cross each other in 30 seconds. The ratio of their speeds is

(1) 1 : 3 (2) 3 : 2 (3) 3 : 4 (4) 2 : 1


(1) 20000 (2) 25000 (3) 30000 ( 4 ) 24000


(1) 14000 (2) 15000 (3) 13000 (4)12000

14. In what ratio must water be mixed with milk to gain 20% on selling the mixture at cost price?

(1) 1: 5 (2) 5:1 (3) 4:1 (4) 1:4

15. A dishonest milkman professes to sell his milk at cost price but he mixes it with water and thereby gains 25%. The percentage of water in the mixture is:

(1) 1: 5 (2) 5:1 (3) 4:1 (4) 1:4

16. A Jar full of whisky contains 40% alcohol. A part of this whisky is replaced by another containing 19% alcohol and now % of alcohol was found to be 26%. The quantity of whisky replaced is:

(1) 1/3 b) 2/3 c) ½ d) 1/4

17. A can contains a mixture of two liquids A and B is

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the ratio 7 : 5. When 9 litres of mixture are drawn off and the can is filled with B, the ratio of A and B becomes 7 : 9. How many litres of liquid A was contained by the can initially?

(1) 15 (2) 21 (3) 12 (4) 18

18. A can contains a mixture of two liquids A and B is the ratio 1 : 2. When 15 litres of mixture are drawn off and the can is filled with A, the ratio of A and B becomes 2 : 1. How many litres of liquid B was contained by the can initially?

(1) 45 (2) 24 (3) 20 (4) 30

19. A container contains 40 litres of milk. From this container 4 litres of milk was taken out and replaced by water. This process was repeated further two times. How much milk is now contained by the container?

(1) 31.23 (2) 29.16 (3) 28.38 (4) 32.84

20. A container contains 100 litres of milk. From this container 10 litres of milk was taken out and replaced by water. This process was repeated further two times. How much milk is now contained by the container?

(1) 72 (2) 72.18 (3) 72.36 (4) 72.90

21. A container contains 50 litres of milk. From this container 5 litres of milk was taken out and replaced by water. This process was repeated further one times. How ratio milk and water ?

(1) 61:39 (2) 83:17 (3) 71:29 (4) 81:19

22. 8 litres are drawn from a cask full of wine and is then filled with water. This operation is performed three more times. The ratio of quantity of wine now left in cask to that of water is 16 : 65. How much wine did cask hold originally?

(1) 20 (2) 30 (3) 24 (4) 32

23. 10 litres are drawn from a cask full of wine and is then filled with water. This operation is performed three more times. The ratio of quantity of wine now left in cask to that of water is 27 : 37. How much wine did cask hold originally?

(1) 40 (2) 30 (3) 45 (4) 50

24. Tea worth Rs. 126 per kg and Rs. 134 per kg are mixed with a third variety in the ratio 1 : 1 : 2. If the mixture is worth Rs. 120 per kg, the price of the third variety per kg will be:

(1) 110 (2) 130 (3) 115 (4) 120

25. The cost of Type 1 rice is Rs. 15 per kg and Type 2 rice is Rs. 20 per kg. If both Type 1 and Type 2 are mixed in the ratio of 2 : 3, then the price per kg of the mixed variety of rice is:

(1) 15 (2) 16 (3) 18 (4) 20

26. Vessels A and B contain mixtures of milk and water in the ratio 4:5 and 5:1 respectively. In what ratio should quantities of mixtures be taken from A to B to form a mixture in which milk to water is in the ratio 5:4?

(1) 2:5 (2) 2:3 (3) 4:3 (4) 5:2 (e) 9,3

27. How many k.g. of sugar costing Rs. 9 per kg must be mixed with 27 kg of sugar costing Rs. 7 per kg so that there may be a gain of 10% by selling the mixture at Rs. 9.24 per kg?

(1) 36 (2) 42 (3) 54 (4) 63

28. In what ratio must a grocer mix two varieties of tea worth 60 per kg and 65 per kg so that by selling mixture at 68.2 per kg he may gain 10%?

(1) 3:2 (2) 2:3 (3) 4:3 (4) 5:2

29. A 40 litre mixture of milk and water contains milk and water in the ratio 3 : 2. 20 litres of the mixture is removed and replaced with pure milk and the operation is repeated once more. At the end of the two removals and replacement. What is the ratio of milk and water in the resultant mixture?

(1) 3:7 (2) 2:3 (3) 7:3 (4) 5:2

30. How many litres of water should be added to a 30 litre mixture of milk and water containing milk and water in the ratio of 7 : 3 such that the resultant mixture has 40% water in it?

(1) 6L (2) 5L (3) 10L (4)12L

31. How many kgs of Assam tea costing Rs. 42/kg should a shopkeeper mix with 25 kgs of Darjeeling tea costing Rs. 24 per kg so that he makes a profit of 25% on selling the mixture at Rs. 40/kg?

(1) 18kg (2) 24kg (3) 16.5kg (4)19.5kg

32. A man invested a certain sum of money at 50% p.a S.I. He withdrew a certain amount and was forced to invest this amount at only 20% p.a. He observed that the effective rate of earning on the original sum is 40% p.a. S.I. Find the amount withdrawn.

(1) 1/3 (2)1/2 (3)1/4 (4)2/3

114


33. 4 equal glasses are filled with mixtures of water and milk. The proportion of water to milk in the glasses is 1:2, 2:3, 3:4 and 4:5 respectively. The contents of the 4 glasses are emptied into a large vessel. What is the ratio of milk to water in this vessel?

(1) 253:377 (2) 2:3 (3) 373:273 (4) 377:253

34. 42 litres of adulterated milk contain milk and water in the ratio 4:3. How much water must be added to it in order that the resulting mixture may contain milk and water in the ratio 4:5?

(1) 6L (2) 10L (3) 8L (4) 12L

35. Three equal glasses are filled with mixtures of milk and water. The proportion of milk and water in each glass is as follows: in the first glass as 3:1; in the second glass as 5:3 and in the third as 9:7. The contents of the three glasses are emptied into single vessel. Find the ratio of milk and water in the vessel.

(1) 31:17 (2) 35:13 (3) 41:7 (4) 1:3

36. Nine litres are drawn from a cask full of wine; it is then filled with water. Nine litres of the mixture are drawn and the cask is again filled with water, The quantity of wine now left in the cask is to that of the water in it as 16:9. How much does the cask hold?

(1) 36L (2) 24L (3) 60L (4) 45L

answer key1. (1) 2. (2) 3. (4) 4. (4) 5. (4)6. (3) 7. (4) 8. (3) 9. (2) 10. (2)11. (4) 12. (3) 13. (3) 14. (1) 15. (4)16. (2) 17. (3) 18. (2) 19. (4) 20. (4)21. (3) 22. (1) 23. (1) 24. (3) 25. (4)26. (4) 27. (1) 28. (1) 29. (1) 30. (2)31. (4) 32. (1) 33. (4) 34. (4) 35. (1)36. (4)

115


allegation or Mixture LeVeL-3

1. In an alloy, zinc and copper are in the ratio 1 : 2. In the second alloy, the same elements are in the ration 2: 3. If these two alloys be mixed to form a new alloy in which two elements are in the ratio 5: 8, the ratio of these two alloys in the new alloys is:

(1) 3: 10 (2) 3 : 7 (3) 10 : 3 (4) 7 : 3 (5) None of these

2. A jar contained a mixture of two liquids A and B in the ratio 4: 1. When 10 litres of the mixture was taken out and 10 litres of liquid B was poured in the jar, this ratio became 2 : 3. The quantity of liquid A contained in the jar initially was:

(1) 4 litres (2) 8 litres (3) 16 litres (4) 32 litres (5) None of these

3. In a mixture of 75 litres, the ratio of milk to water is 2 :1. The amount of water to be further added to the mixture so as to make the ratio of the milk to water 1 : 2 will be:


4. The ratio in which two sugar solutions of the concentrations 15% and 40 % are to be mixed to get a solution of concentration 30% is:

(1) 2 : 3 (2) 3: 2 (3) 8: 9 (4) 9 : 8 (5) None of these

5. Nikita bought 30 kg of wheat at the rate of ` 9.50 per kg and 40 kg of wheat at the rate of ̀ 8.50 per kg and mixed them. She sold the mixture at the rate of 8.90 per kg. Her total profit or loss in the transaction was:

(1) ` 2 loss (2) ` 2 profit (3) ` 7 loss (4) ` 7 profit

6. How many kg of salt oat 42 P per kg must a man mix with 25 kg of salt at 24 P per kg, so that he may, on selling the mixture at 40 P per kg, gain 25% on the outlay?

(1) 20 (2) 30 (3)40 (4)50

7. A mixture of a certain quantity of milk with 16 litres of water is sold at 90 paise per liter. If pure milk be worth ‘ 1.08 per liter. How much milk is

there in the mixture? (1) 40 liters (2) 50 liters (3) 60 liters (4) 80 liters (5) None of these

8. A goldsmith has two qualities of gold one of 12 carats and another of 16 carats purity. In what proportion should he mix both to make an ornament of 15 carats purity?

(2) 1 : 3 (2) 2 : 3 (3) 3 : 2 (4) 3 : 1 (5) None of these

9. 300 gm of sugar solution has 40% sugar in it. How much sugar should be added to make it 50% in the solution?

(1) 40 gm (2) 50 gm (3) 60 gm (4) 80 gm (5) None of these

10. A person has a chemical of ` 25 per liter. In what ratio should water be mixed the mixture at ` 20 litres he may get a profit of 25%?

(1) 14 : 9 (2) 16 : 9 (3) 9 : 14 (4) 9 : 16 (5) None of these

11. A vessel of 80 liter is filled with milk and water 70% of milk and 30% of water are taken are taken out of the vessel. It is found that the vessel is empty by 55%. Find the initial quantity of milk and water.

(1) 20 liters, 30 liters (2) 30 liters , 50 liters (3) 40 liters ,40 liters (4) 50 liters, 30 liters (5) None of these

12. A containers contained 80 l of milk was taken out and replaced by water. This process was further repeated two times. How much milk is now contained in the container?

(1) 54.23l (2) 54.26l (3) 58.32 (4) 56.32l (5) None of these

13. Nine liters are drawn from a cask full of water and it is then filled with milk, Nine liters of mixture are drawn and the cask is again filled drawn and the cask is again filled with milk, The quantity of water now left in the cask to that of the milk in it is 16:9. How much does the cask hold?

(1) 40 liters (2) 45 liters (3) 50 liters

116


(4) 55 liters (5) None of these

14. A mixture of 40 liters of milk and water contains 10% water. How much water must be added to make 20% water in the new mixtures?


15. In three vessels each of 101 capacity mixture of milk and water is filled. The ratios of milk and water are 2 : 1, 3 : 1 and 3 : 2 in the three respective vessels. If all the three vessels are emptied into a single large vessel, find the proportion of milk and water in the mixture.

(1) 121 : 59 (2) 123 : 59 (3) 125 : 59 (4) 127 : 59 (5) None of these

16. If 2 kg of metal, of which 1/3 is zinc and the rest is copper, be mixed with 3 kg of metal, of which ¼ is zinc and the rest is copper, what is the ratio of zinc to copper in the mixture?

(1) 12 : 42 (2) 17 : 43 (3)19 : 43 (4) 15 : 42 (5) None of these

17. A man mixes 5 kilolitres of milk at ` 600 per kiloliter with 6 kilolitres at ` 540 per kilolitre. How many kilolitres of water should be added to make the average value of the mixture ` 480 per kilolitre?

(1) 7 : 2 (2) 9 : 2 (3) 11 : 2 (4) 13 : 2 (5) None of these

18. Vessels A and B contain mixtures of milk and water in the rations 4 : 5 and 5 : 1 respectively. In what ratio should quantities of mixture be taken from A and B to form a mixture in which milk to water is in the ratio 5 : 4 ?

(1) 2 : 5 (2) 4 : 3 (3) 5 : 2 (4) 2 : 3 (5) None of these

19. 50 g of an alloy of gold and silver contains 80% gold (be weight). The quantity of gold, that is to be mixed up with this alloy. So that it may contain 95% gold, is

(1) 200 g (2) 150 g (3) 50 g (4) 10 g (5) None of these

20. A pot contains 81 litres of pure milk. of the milk is replaced by the same amount of water. Again of the mixture is replaced by that amount of water. The ratio of the milk and water in the new mixture is:

(1) 1 : 2 (2) 1 : 1 (3) 2 : 1 (4) 4 : 5 (5) None of these

21. Gold is 19 times as heavy as water and copper is 9 times as heavy as water. In what ratio should these metals be mixed so that the mixture may be 15 times as heavy as water?

(1) 2 : 3 (2) 3 :2 (3) 2 : 4 (4) 4 : 2 (5) None of these

22. How much tea at ` 4 a kg should be added to 15 kg of tea at ` 10 a kg so that the mixture be worth ` 6.50 a kg?

(1) 15 kg (2) 35 kg (3) 25 kg (4) 21 kg (5) None of these

23. A sum of ` 6.40 is made up of 80 coins which are either 10- paise or 5 –paise coins. How many are coins of 5 –paise?

(1) 24 (2) 28 (3) 32 (4) 36 (5) None of these

24. In a zoo, there are rabbits and pigeons. If the heads are counted, there are 200 and if legs are counted, there are 580. How many pigeons are there?

(1) 105 (2) 110 (3) 115 (4) 120 (5) None of these

25. A man has 60 pens he sells some of these at a profit of 12% and the rest at 8% loss. On the whole, he gets a profit of f11%. How many pens were sold at 12% profit

(1) 47 (2) 52 (3) 55 (4) 57 (5) None of these

26. A man has 40 kg of tea, a part of which he sells at 5% loss and the rest at the cost price. In this business he incurs a loss of 3%. Find the quantity which he sells at the cost price.

(1) 12 kg (2) 14 kg (3) 16 kg (4) 18 kg (5) None of these

27. The ratio of milk and water in 66 of adulterated milk is 5 : 1, Water is added to it to make the ratio 5 : 3. The quantity of water added is

(1) 12 kg. (2) 14 kg (3) 16 kg (4) 18 kg (5) None of these

28. A dishonest milkman professes to sell his milk at cost price but he mixes it with water and thereby gains 25% .The percentage of water in the mixture is:

117


(1) 25% (2) 35% (3) 45% (4) 50% (5) None of these

29. A sum of ` 41 was divided among 50 children each boy gets 90 paise and each girl 65 paise. The number of boys is

(1) 32 (2) 34 (3) 36 (4) 38 (5) None of these

30. A can contains a mixture of two liquids A and B in proportion 7: 5. When 9 litres of mixture are drawn off and the can is filled with B, the proportion of A and B becomes 7 : 9. How many litres of liquids A was contained in the can initially?


31. Milk and water are mixed in vessel A in the ratio of 5 : 2 and in vessel B in the ratio of 8 :5. In what ratio should quantities be taken from the two vessel so as to form a mixture in which milk and water will be in the ratio of 9: 4?

(1) 7 : 2 (2) 5 :2 (3) 2 :7 (4) 2 : 5 (5) None of these

32. 200 litres of mixture contains 15% water and the rest is milk. The amount of milk that must be added so that the resulting mixture contains 87.5% milk is


33. 200 litres of a mixture contains milk and water in the ratio 17: 3. After the addition of some more milk to it, the ratio of milk to water in the resulting mixture become 7: 1. The quality of milk added to it was:


34. In a bag, there are three types of coins 1 rupee, 50- paise and 25-paise in the ratio 3: 8: 20. There total value is ` 372. The total number of coins is:

(1) 1200 (2) 961 (3) 744 (4) 612 (5) None of these

35. 7 kg of tea consting ` 280 per kg is mixed with 9 kg of tea costing. ` 240 per kg. The average price per kg of the mixed tea is:

(1) ` 255.80 (2) ` 257.50 (3) ` 267.20 (4) ` 267.50 (5) None of these

answer key1. (1) 2. (2) 3. (3) 4. (1) 5. (1)6. (1) 7. (4) 8. (1) 9. (3) 10. (2)11. (4) 12. (4) 13. (2) 14. (3) 15. (1)16. (2) 17. (3) 18. (3) 19. (2) 20. (4)21. (2) 22. (4) 23. (3) 24. (2) 25. (4)26. (3) 27. (2) 28. (5) 29. (2) 30. (5)31. (1) 32. (3) 33. (2) 34. (2) 35. (2)

118


151. A can do a piece of work in 10 days while B

alone can do it in 15 days. Both A and B working together can finish the work in:


2. 16 persons complete a job in 14 days. How many days will 8 persons take to complete the same job?

(1) 28 (2) 18 (3) 7 (4) 21 (5) None of these

3. 8 women can complete a piece of work in 15 hours. In how many hours will 12 women complete the same piece of work?

(1) 12 (2) 6 (3) 8 (4) 10 (5) None of these

4. Six men can complete a piece of work in 32 hours. In how many hours will 16 men complete the same piece of work?

(1) 18 (2) 16 (3) 12 (4) 24 (5) None of these

5. Shilpa can complete a piece of work in 15 days and Shamita can complete the same piece of work in 24 days. In approximately; how many days can Shilpa and Shamita together complete the same piece of work?

(1) 6 days (2) 4 days (3) 7 days (4) 9 days (5) 12 days

6. A.& B together can paint a house in 8 days. A alone can paint it in 20 days. In how many days can B alone paint the house?

(1) 3113

days (2) 12 days (3) 13 days

(4) 3212

days (5) None of these

7. 16 men can complete a piece of work in 7 days. In how many days will 28 men complete the same work?

(1) 6 days (2) 8 days (3) 3 days (4) 4 days (5) None of these

8. A can do a piece of work in 10 day while B alone can do it in 12 day and C alone can do it in 15

LeVeL - 1

day. All A, B and c working together can finish the work in:

(1) 8 day (2) 4 day (3) 415

day (4) 544

day9. Ram and Shyam together can finish a job in 8 days.

Ram can do the same job on his own in 12 days. How long will Shyam take to do job be himself ?


10. A can do a work in 15 days, B can do it in 20 days and A, B and C can do it in 8 days. C alone can do the work in.

1) 120 days 2) 60 days (3) 40 days (4) 30 day

11. A and B together can complete a piece of work in 12 days, B and C can do it in 20 days and C and A can do it in 15 days. A, B and C together can complete it in

(1) 6 days (2) 9 days (3) 10

days (4) 2110

days12. A and B together can complete a piece of work

in 24 days, B and C can do it in 40 days and C and A can do it in 30 days. A, B and C alone can complete it in

(1) 40,60,120 (2) 90,50,60 (3) 40,120,60 (4) 70,50,80

13. A and B together can complete a piece of work in 8 days while B and C together can do it in 12 days. All the three together can complete the work in 6 days. In how much time will A and C together complete the work?


14. A can do 31

of work in 5 days and B can do 52

of the work in 10 days. In how many days both A and B together can do the work?

(1) 437

(2) 548

(3) 839

time and Work

119


(4) 10

15. A can do 32

of work in 20 days, B can do 51

of the

work in 3 days and C can do 43

of work in 15 days. In how many days both A,B and C together can do the work?

(1) 437

(2) 326

( 3 )

839

(4) 10

16. A can do a piece of work in 20 days which B alone can do in 12 days. B worked at it for 9 days. A can finish the remaining work in


17. A can do a certain job in 25 days which B alone can do in 20 days. A and B started the work and A left the work after 5 days. The work lasted for

(1) 11days (2) 14 days (3) 15 days (4) 16 days

18. A can do a piece of work in 10 days and B can do it in 20 days. They start the work together. But, after 5 days, A leaves off. B will do remaining work in


19. A can do a piece of work in 10 days, B can do it in 15 days and C can do it in 20 days. They start the work together. But, after 2 days, A leaves off and after 3 days, C leaves off. B will do the remaining work. How many day complete the work?

(1) 8 day (2) 4 day (3) 439

day (4) 548

day

20. A can do a piece of work in 12 days, B can do it in 15 days and C can do it in 20 days. They start the work together. But, after 3 days, A leaves off and B left 3 day before the completion of the work. C will do the remaining work. How many day complete the work?

(1) 8 day (2) 4 day (3) 719

day (4) 718

day

21. A and B can complete a piece of work in 7 days and 8 days respectively. A begins to do the work

and they work alternately one at a time for one day each. The whole work will be completed in

(1) 318

days (2) 737

days

(3) 736

days (4) 734

days

22. A and B can complete a piece of work in 12 days and 18 days respectively. A begins to do the work and they work alternately one at a time for one day each. The whole work will be completed in

(1) 3114

days (2) 3215

days

(3) 3116

days (4) 3218

days

23. A, B and C can complete a piece of work in 12 days 15 days, and 20 days respectively. A daily and B, C do the work and alternately one at a time for one day each. The whole work will be completed in

(1)10 days (2) 7 days (3) 6 days (4) 4 days

24. The rates of working of A and B are in the ratio 3:4. The number of days taken by them to finish the work are in the ratio :

(1) 3 : 4 (2) 9 : 16 (3) 4 : 3 (4) None

25. A works twice as fast as B. If both of them can together finish a piece of work in 12 days, then B alone can do it in


26. A works thrice as fast as B. If both of them can together finish a piece of work in 12 days, then A alone can do it in


27. To complete a work, A is 50% more efficient than B. If together they take 18 days to complete the work, how much time shall B take to do it?


28. A is thrice as good a workman as B and therefore A is able to finish a job in 60 days less than B. Working together, they can do it in

120


(1) 20 days (2) 2122

days (3) 25 days (4) 30 days

29. A 20% less efficient than B. If A can complete a piece of work in25 hours, then B can do it in

(1) 18 hours (2) 15hours (3) 20 hours (4) 16 hours

30. Kamal can do a piece of work in 15 days. Bimal is 50% more efficient than Kamal. The number of days, Bimal will take to do same piece of work, is

(1) 10 (2) 1110

(3) 12 (4) 14

31. 3 men or 5 women can do a work in 12 days. How long will 6 men and 5 women take to finish work ?


32. 10 men can do a piece of work in 12 days. 5 women can do it in 36 days and 8 children can do it in 30 days. In how many days can 6 men, 9 women and 6 children together complete the piece of work ?


33. 8 men can do a piece of work in 15 days. 4 women can do it in 48 days and 10 children can do it in 24 days. In how many days can 10 men, 8 women and 30 children together complete the piece of work ?

(1) 5 days ( 2 ) 1 5 days

(3) 4 days (4) 6 days

34. If 1 man or 2 women or 3 boys can do a piece of work in 44 days, then the same piece of work will be done by 1 man, 1 woman and 1 boy in


35. 10 women can complete a work in 8 days and 20 children take 24 days to complete the work. How many days will 5 women and 10 children take to complete the work ?

(1) 10 (2) 15 (3) 12 (4) none

answer key1. (4) 2. (1) 3. (4) 4. (3) 5. (4)6. (1) 7. (4) 8. (2) 9. (3) 10. (1)

11. (3) 12. (1) 13. (1) 14. (3) 15. (2)16. (2) 17. (1) 18. (1) 19. (3) 20. (4)21. (2) 22. (1) 23. (2) 24. (3) 25. (3)26. (3) 27. (4) 28. (2) 29. (3) 30. (1)31. (1) 32. (1) 33. (3) 34. (2) 35. (3)

121


time and Work LeVeL-2

1. Acandoasmuchworkin3daysasCdoesin4daysandBcandoasmuchworkin5daysasCin6days.HowlongwillBtakestocompleteapieceofworkwhichAcanfinishin18week?

a, 3 fnu esa mruk gh dke dj ikrk gS] ftruk C 4 fnu esa dj ysrk gSA B, 5 fnu esa mruk gh dke dj ikrk gS] ftruk C, 6 fnu esa djrk gSA crkb, B dks bl dk;Z dks djus esa fdruk le; yxsxkA ;fn a bls 18 gÝrs esa iwjk dj ysrk gks\(1) 20weeks (2) 25weeks(3) 35weeks (4) 15weeks

2. AandBtogethercanfinishtwiceworkthanCwhileBandCcanfinishthriceworkthanA.Iftheyallcanfinishapieceofworkin12daystheninhowmanydayswillBalonefinishthework?

a rFkk B feydj C ls nqxuk dk;Z djrs gSaA tcfd B vkSj C feydj a ls rhu xquk dk;Z dj ysrs gSaA ;fn rhuksa feydj bl dk;Z dks 12 fnu esa iwjk dj ysrs gksa] rks crkb, B vdsyk bl dk;Z dks fdrus fnuksa esa iwjk dj ysxk \

(1) 30days (2) days

(3) days (4) days

3. 20mencanprint400pagesbookin30daysworking5hrs/day.Eachpagecontains15linesandeachlinecontain20words.Inhowmanydaysaanothergroupof15menwillprint200pagesworking8hrs/days. Ifeachpagecontains10linesand15wordsandefficiencyofthe1st groupis3/2timeofthe2ndgroup?

20 O;fDr ,d 400 iUuksa dh fdrkc 30 fnu esa Nkirs gSaA tcfd izR;sd iUus ij 15 ykbus gks vkSj izR;sd ykbu esa 20 'kCn] 5 ?kaVs izfrfnu dk;Z djrs gksa] rks crkb, nwljs lewg ds 15 O;fDr] 8 ?kaVs izfrfnu dk;Z djrs gq, ,d 200 iUuksa dh fdrkc fdrus fnu esa Nki nsaxsA ;fn izR;sd iUus ij 10 ykbus rFkk izR;sd ykbu esa 15 'kCn gks rFkk ;fn igys lewg ds dk;Z djus dh {kerk nwljs lewg dh {kerk dk 3@2 xquk gksA

(1) (2)

(3) (4)

4. a certain numberofmencanfinishapieceofworkin160days.If18extramenworkemployedtheworkwouldbefinished20daysearlier.Findthenumberofmenwhichwereemployedinitially?

dqN O;fDr fdlh dk;Z dks 160 fnu esa dj ldrk gSA ;fn 18 vfrfjDr O;fDr dk;Z ij yxk;k tk;s rks dk;Z 20 fnu igys lekIr gks tkrk gSA 'kq: esa fdrus O;fDr dk;Z ij yxk;s x;s\(1) 125 (2) 120(3) 130 (4) 126

5. Acertainnumberofmencanfinishapieceofworkin100days.If10mendecreasedtheworkwillfinish10dayslate.Findthenumberofmenwhichwereemployedinitially.

dqN O;fDr fdlh dk;Z dks 100 fnu esa iwjk dj ldrs gSA ;fn 10 O;fDr de gks rks ml dk;Z dks iwjk djus esa 10 fnu vf/d yxsaxsA rks crkb, vkjEHk esa fdrus O;fDr Fks \(1) 100 (2) 80(3) 120 (4) 110

6. Acontractoremployed100mentofinishaconstructionworkin40days.After35daysheemployed100extramen,thereforetheworkfinishedonstipulatedtime.Ifhedidnotdosobyhowmanydaysworkwoulddelay?

,d Bsdsnkj ,d Hkou fuekZ.k djus ds fy, 100 etnwj 40 fnu ds fy, dke ij j[krk gSA 35 fnu ckn og 100 vfrfjDr etnwj dke ij yxk nsrk gSA bl izdkj dk;Z le; ij iwjk gks tkrk gSA ;fn og ,slk ugha djrk gks crkb, dk;Z fdrus fnu nsjh ls iwjk gksrk \(1) 3days (2) 7days(3) 5days (4) 9days

7. Acontractoremployed30labourtofinishpieceofworkin 38 days after 25 days he employed5 extra labourthereforetheworkfinished1daybeforetothestipulatedtime.Ifhedidnotemployedextralabourthanhowmanydaystheworkwoulddelay?

,d Hkou fuekZrk] ,d Hkou fuekZ.k djkus ds fy, 30 etnwj

122


38 fnu ds fy, dke ij j[krk gSA 25 fnu og 5 vfrfjDr etnwj dke ij yxk nsrk gSA bl izdkj dk;Z fuf'pr le; ls 1 fnu igys [kRe gks tkrk gSA ;fn og vfrfjDr etnwj dke ij ugha yxkrk rks dke fdrus nsjh ls iwjk gksxk \(1) 3days (2) 1 day(3) 5days (4) 2days

8. 100labourcanfinishapieceofworkin50days.After30daysitcameintonoticethatonly1/4partoftheworkwasfinished.Howmanyextralabourshouldbeemployedsothattheworkwouldfinishedonthestipulatedtime.

100 etnwj fdlh dk;Z dks 50 fnu esa iwjk dj ldrs gSA 30 fnu ckn irk pyk bu 100 etnwjksa us 30 fnuksa esa dsoy 1@4 dke gh iwjk fd;kA crkb;s fdrus vfrfjDr etnwj dke ij yxk fn;s tk;s ftlls dh dk;Z fuf'pr le; ij iwjk gks tk;s\(1) 450 (2) 350(3) 370 (4) 250

9. a contractor employed100labourtofinishapieceofworkin50days.After30days25%workwascompleted.Howmanyextralabourshouldheemployedsothattheworkwasdoneonly10days late.

fdlh dk;Z dks djus ds fy, 100 etnwj 50 fnu ds fy, dke ij j[ks x;sA 30 fnu ckn Kkr gqvk dh 25» dke iwjk gks ik;k gSA crkb;s og fdrus vfrfjDr etnwj dke ij yxk;s ftlls dh dk;Z 10 fnu nsjh ls iwjk gks\(1) 150 (2) 300(3) 200 (4) 170

10. 15mencanfinishapieceofworkin210days.Buttheendofevery10days15additionalmenareemployed.Inhowmanydaywillitbefinished?

15 O;fDr fdlh dk;Z dks 210 fnu esa iwjk dj ldrs gSA ysfdu izR;sd 10 fnu ckn 15 vfrfjDr O;fDr dke ij yxk fn;s tkrs gSA crkb;s dqy dk;Z fdrus fnu esa lekIr gqvk \ (1) 100 (2) 80(3) 120 (4) 60

11. If5menand3boyscanweave23hectarein4days,3menand2boysweave7hectarein2days.Howmanyboysmuchassist7meninorderthattheymayweave45hectarein6days.

5 vkneh vkSj 3 yM+ds 23 gsDVs;j Hkwfe 4 fnu esa tksr ldrs gS] vkSj 3 vkneh vkSj 2 yM+ds 7 gsDVs;j tehu 2 fnu esa

tksr ldrs gSaA crkb;s 7 vkneh;ksa ds lkFk fdrus cPpksa dks dke ij yxk;k tk;s ftlls dh 45 gsDVs;j tehu 6 fnu esa tksrh tk lds\ (1) 4boys (2) 7boys(3) 2boys (4) 3boys

12. AandBcanfinishapieceofworkin6days.IfAworks2/3ofhisefficiencyandBworks3/2ofhisefficiency,thentheworkfinishin6days.InhowmanydayswillAalonecompletethewholework?

a rFkk B feydj fdlh dk;Z dks 6 fnu esa iwjk dj ldrs gSaA ;fn a viuh xfr ls 2@3 dke djs rFkk B viuh xfr ls 3@2 dke djsA rc budks dk;Z lekIr djus esa 6 fnu dk le; yxrk gSA a vdsys bl dk;Z dks fdrus fnu esa iwjk dj ysxk\(1) 15days (2) 10days(3) 25days (4) 30days

13. AandBcandoapieceofwork in5days. IfAworkwith2timesofhisefficiencyandBworkwith1/3ofhisefficiencythantheworkfinishin3daysor2daysearlierthanthestipulatedtime.HowmuchtimewillAalonetaketofinishthesamework?

a vkSj B feydj fdlh dk;Z dks 5 fnu esa iwjk dj ldrs gSA ;fn a dh {kerk dks nqxuk rFkk B dh {kerk dks 1@3 dj fn;k tk;s rc dk;Z lekIr gksus esa 3 fnu dk le; yxrk gS ;k dk;Z lekIr gksus esa 2 fnu dk de le; yxrk gSA crkb, a bl dk;Z dks fdrus fnu esa iwjk dj ysxk \

(1) 10days (2) days(3) 15days (4) 20days

14. A,BandCtogethercandoapieceofworkin10days.Cworkfirst3daysandcompletethe37/100partofthework. IfA's5dayswork isequal toB's4daysworkthen,findhowmuchtimewillbetakenbythepersonwhofinishtheworkfirst?

a, B rFkk C feydj fdlh dk;Z dks 10 fnu esa iwjk dj ldrs

gSaA C igys rhu fnu dk;Z djrk gS vkSj 3 fnuksa esa dk;Z dk

37@100 Hkkx iwjk gksrk gSA ;fn a ds 5 fnu dk dk;Z B ds

4 fnu esa dk;Z ds cjkcj gks rks crkb;s lcls igys iwjk djus

okyk O;fDr bl dk;Z dks fdrus fnu esa iwjk dj ysxk \

(1) 15days (2) 35days(3) 25days (4) 20days

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15. Adoesasmuchworkin2daysasBdoesin3days.Bdoesasmuchworkin4daysasCdoesin5days.Iftheyfinishtheworktogetherin20daysthan,findhowmanydayswillBalonetaketocompletethesamework?

a 2 fnu esa bruk dk;Z djrk gSA ftruk B 3 fnu esa djrk

gSA B 4 esa mruk dk;Z djrk gS] ftruk C 5 fnu esa djrk

gSA lHkh feydj 20 fnu esa dk;Z dks iwjk dj ysrs gSa] rks B

bl dk;Z dks vdsyk fdrus fnu esa dj ysxk \

(1) 66days (2) 70days(3) 75days (4) 60days

16. Adoes1/2partofaworkin5days,Bdoes3/5partofaworkin9daysandCdoes2/3partofthesameworkin8days.Workingtogetherhowmanydayswilltheytaketocompletethework?

a fdlh dke ds 1/2 Hkkx dks 5 fnu esa] B mlh dke ds

3/5Hkkx dks 9 fnu esa vkSj C mlh dke ds 2/3 Hkkx dks 8

fnu esa iwjk dj ldrk gSA rhuksa feydj ml dke dks fdrus

fnuksa esa iwjk djsaxs\(1) 3 (2) 5

(3) (4) 4

17. AandB together candoapieceofwork in12days.WhileBandCcandothesameworkin16days.Awork5days,Bwork7daysandremainingworkfinishbyCin13days.HowmuchtimewillAtaketocompletethe60%oftheworkwith40%ofhisefficiency.

a vkSj B feydj fdlh dk;Z dks 12 fnu esa tcfd B vkSj C feydj mlh dk;Z dks 16 fnu esa iwjk dj ldrs gSaA a us 5 fnu rFkk B us 7 fnu esa rFkk C us 13 fnu dk;Z djds dk;Z lekIr djrk gSA crkb, a viuh {kerk ds 40» ls dk;Z ds 60» Hkkx dks fdrus le; esa iwjk dj ysxk \(1) 35days (2) 24days(3) 20days (4) 18days

answer key1. (1) 2. (2) 3. (3) 4. (4) 5. (4)6. (3) 7. (2) 8. (2) 9. (3) 10. (4)11. (3) 12. (2) 13. (2) 14. (4) 15. (1)16. (4) 17. (2)

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161. Two pipes can fill a tank in 20 minutes and

30 minutes. If both the pipes are opened simultaneously, then the tank will be filled in

(1) 10 min (2) 12 min (3) 15 min (4) 25 min

2. A tap can fill a cistern in 8 hours and another tap can empty it in 16 hours. If both the taps are open, the time taken to fill the tank will be:

(1) 8 hrs (2) 10 hrs (3) 16 hrs (4) 24 hrs

3. A pump can fill a tank with water in 15 hours. Because of a leak in the tank, it takes 20 hrs to fill the tank. The leak can empty the filled tank in

(1) 120 hrs (2) 39 hrs (3) 45 hrs (4) 60 hrs

4. Pipes A and B can fill a tank in 20 hrs and 30 hrs resp. and pipe C can empty the full tank in 15 hrs. If all the pipes are opened together, how much time will be needed to make the tank full?

(1) 30 hrs (2) 120 hrs (3) 60 hrs (4) 45 hrs

5. A tank can be filled by a tap in 20 minutes and by another tap in 60 minutes. Both the taps are kept open for 10 minutes and then the first tap is shut off. After this, the tank will be completely filled in

(1) 10 min (2) 12 min (3) 15 min (4) 20 min

6. Two pipes A and B can fill a tank in 15 minutes and 20 minutes resp. Both the pipes are opened together but, after 4 minutes, pipe B is turned off. What is the total time required to fill tank?

(1) 10 min 20 sec (2) 11 min 45 sec (3) 12 min (4) 15 min

7. 12 pumps working 6 hours a day can empty a completely filled reservoir in 15 days. How many such pumps working 9 hours a day will empty the same reservoir in 12 days?

(1) 15 (2) 9 (3) 10 (4) 12 (5) None of these

8. Two pipes can fill a cistern in 3 hours and 4 hours

LeVeL - 1

respectively and a waste pipe can empty it in 2 hours. If all three pipes are kept open, then the cistern will be filled in

(1) 5 hours (2) 8 hours (3) 10 hours (4) 12 hours (5) None of these

9. Three pipes A, B and C can fill a cistern in 6 hrs. After working together for 2 hours C is closed and A and B fill the cistern in 8 hrs. Then find the time in which the cistern can be filled by pipe C.

(1) 6 hrs (2) 12 hrs (3) 12 hrs (4) 20 hrs (5) None of these

10. A pipe can fill a cistern in 12 minutes and another pipe can fill it in 15 minutes. But, a third pipe can empty it in 10 minutes. The first two pipes are kept open for 5 minutes in the beginning and then the third pipe is also opened. In what time is the cistern filled completely?

(1) 10 min (2) 20 min (3) 2137

min (4) 15 min

11. A pipe can fill a cistern in 24 minutes and another pipe can fill it in 30 minutes. But, a third pipe can empty it in 20 minutes. The first two pipes are kept open for 10 minutes in the beginning and then the third pipe is also opened. In what time is the cistern filled completely ?

(1) 10 min (2) 20 min (3) 2137

min (4) 15 min

12. A pipe can fill a cistern in 12 minutes and another pipe can fill it in 15 minutes. But, a third pipe can empty it in 6 minutes. The first two pipes are kept open for 5 minutes in the beginning and then the third pipe is also opened. In what time is the cistern emptied?

(1) 30 min (2) 33 min (3) 2137

min (4) 45 min

13. A pipe can fill a cistern in 24 minutes and another

Pipes and cisterns

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pipe can fill it in 30 minutes. But, a third pipe can empty it in 12 minutes. The first two pipes are kept open for 4 minutes in the beginning and then the third pipe is also opened. In what time is the cistern emptied?

(1) 30 min (2) 33 min (3) 2137

min (4) 36 min

14. A leak in the bottom of a tank can empty the full tank in 6 hrs. An inlet pipe fills water at the rate of 4 liters per minute. When the tank is full, the inlet is opened and due to the leak, the tank is empty in 8 hrs. The capacity of the tank is:

(1) 5260 ltrs (2) 5760 ltrs (3) 5846 ltrs (4) 6970 ltrs

15. A cistern has a leak which would empty it in 8 hrs. A tap is turned on which admits 6 liters a minute into the cistern and it is now emptied in 12 hrs. How many liters does the cistern hold?

(1) 7850 ltrs (2) 7960 ltrs (3) 8290 ltrs (4) 8640 ltrs

16. In 1 minute 37

of a bucket is filled. The rest of the bucket can be filled in

(1) 2 min (2) 34

min (3) 37

min (4) None

17. A cistern has two pipes. One can fill it with water in 8 hrs and the other can empty it in 5 hrs. In how many hrs will the cistern be emptied if both the pipes are opened together when of the cistern is already full of water?

(1) 3 31

hrs (2) 6 hrs (3) 10 hrs (4) 13 31

hrs18. A tap can fill the cistern in 8 hours and another

can empty it 16 hours. If both the taps are opened simultaneously, the time (in hours) to fill the tank is

1) 16 hrs 2) 8 hrs 3) 10 hrs 4) 12 hrs 5) None of these19. Two pipes A and B can fill a cistern in 6 minutes

and 7 minutes resp. Both the pipes are opened alternatively for 1 minute, then in how much time the empty tank will be filled completely?

(1) 5 min ( 2 ) 5 32

min

(3) 6 73

min (4) 1 41

min20. Three pipes A, B and C can fill a cistern in 6 hrs.

After working at it together for 2 hrs, C is closed and A and B can fill remaining part in 7 hrs. The number of hours taken by C alone to fill tank is.

(1) 10 (2) 12 (3) 14 (4) 16

21. A larger tanker can be filled by two pipes A and B in 60 minutes and 40 minutes resp. How many minutes will it take to fill the tanker from empty resp. How many minutes will it take to fill the tanker from empty state if B is used for half time and A and B fill it together for the other half ?

(1) 15 min (2) 32 min (3) 27.5 min (4) 30 min

22. A tap can fill a tank in 6 hrs. After half the tank is filled, three more similar taps are opened. What is the total time taken to fill tank completely?

(1) 3 hrs 15 min (2) 3 hrs 45 min (3) 4 hrs (4) 4 hrs 15 min

23. If two pipes function simultaneously, the reservoir will be filled in 12 hrs. One pipe fills the other 20 hrs. How many hours does the slower pipe take to fill the reservoir?

(1) 25 hrs (2) 28 hrs (3) 30 hrs (4) 35 hrs

24. A can do a work in 6 days and B can do the same work in 5 days. The contract for the work is Rs 220. How much shall B get if both of them work together?

(1) Rs. 100 (2) Rs. 120 (3) Rs. 80 (4) Rs. 132

25. A man can do a work in 10 days. With the help of a boy he can do the same work in 6 days. If they get Rs 500 for that work, what is the share of that boy?

(1) Rs. 300 (2) Rs. 400 (3) Rs. 100 (4) Rs 200

26. A, B and C can do a work in 6, 8 and 12 days respectively. Doing that work together they get an amount of Rs 1350. What is the share of B in that amount?

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(1) Rs 450 (2) Rs. 270 (3) Rs. 405 (4) Rs. 540

27. A, B and C contract a work for Rs 550. Together, A and B are supposed to do 7/11 of the work. How much does C get?

(1) Rs 300 (2) Rs. 200 (3) Rs. 100 (4) Rs. 350

28. Two men undertake to do a piece of work for Rs 200. One alone could do it in 6 days, the other in 8 days. With the assistance of a boy they finish it in 3 days. How should the money divided?

(1) 100, 75, 25 (2) 100, 50, 50 (3) 80, 70,50 (4) 120, 50,30

answer key1. (2) 2. (3) 3. (4) 4. (3) 5. (4)6. (3) 7. (4) 8. (4) 9. (2) 10. (1)11. (2) 12. (4) 13. (4) 14. (2) 15. (4)

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Pipes and cisterns LeVeL-2

1. Acandoaworkin10dayswhileBcandoitin12days.Bothofthemworktogethertodothework.Ifthetotalamountpaidfortheworkis̀ 440,howmuchisA'sshareinit?

a fdlh dk;Z dks 10 fnu esa dj ldrk gS tcfd B mlh dk;Z dks 12 fnu esa dj ldrk gSA nksuksa dk;Z lekIr djus ds fy, ,d lkFk dk;Z djrs gSaA ;fn mudks dqy dk;Z djus ds fy, ` 440 feys rks mlesa a dk Hkkx fdruk gksxk\(1) `200 (2) ` 250(3) `240 (4) `260

2. A,BandCdoapieceofworkin` 6750.Workingto-gethertheycanfinishthewholeworkin8days.AandBtogethercandothesameworkin12days.BandC

togethercandoin days.FindB'sshare.

a, B vkSj C fdlh dke dks ` 6750 esa lekIr djrs gSaA lHkh ,d lkFk dke dks 8 fnuksa esa lekIr dj ldrs gSaA a vkSj B ,d lkFk dke dks 12 fnuksa esa lekIr dj ldrs gSaA B vkSj C

,d lkFk dke dks fnuksa es dj ldrs gSaA B dk fgLlk Kkr djsaA(1) `1600 (2) `2700(3) `1800 (4) `2200

3. Twopersonsundertaketocompleteapieceofworkfor`4800.Firstpersonalonecandothewholeworkin5daysandsecondpersonin8days.Theycanfinishthesameworkin3dayswiththehelpofaboyandagirl.Iftheefficiencyofboyistwicetotheefficiencyofgirl,thenfindtheshareoftheboy.

nks O;fDr;ksa us ,d dk;Z dks ` 4800 esa djus dk ftEek fy;kA igyk O;fDr dke dks vdsys 5 fnuksa esa vkSj nwljk mls vdsys 8 fnuksa esa dj ldrk gSA ,d yM+dk rFkk ,d yM+dh dh lgk;rk ls os bls 3 fnuksa esa lekIr dj ldrs gSaA ;fn yM+dh }kjk fd, x, dk;Z ls yM+ds dk dk;Z nksxquk gks rks dqy etnwjh esa ls yM+ds dk fgLlk D;k gksxk \(1) `120 (2) ` 80(3) `100 (4) ` 60

4. Acandoapieceofworkin90days,Bin40daysandCin12days.Theyworkalternatively.FirstdayA,seconddayB,thirddayCdoestheworkandfourthdayAworks

againandtheprocessrepeatthesame.Iftheyget̀ 3600forwholeworkthen,findtheshareofA.

a ,d dke dks 90 fnuksa esa] B 40 fnuksa esa vkSj C 12 fnuksa esa dj ldrs gSaA os ckjh&ckjh ls dke djrs gSaA igys fnu a djrk gS] nwljs fnu B rFkk rhljs fnu C djrk gSA fiQj pkSFks fnu a vkSj blh izdkj vkxs dke fd;k tkrk gSA dk;Z dh lekfIr ij dqy ` 3600 etnwjh ds :i esa fn, tkrs gSaA a dk fgLlk Kkr djsaA(1) `360 (2) ` 810 (3) `500 (4) ` 760

5. Somecertainmencandoapieceofworkin160days.If18moremenemployed,theworkcompleted20daysearliertostipulatedtime.Findthenumberofmeninitialy.

dqN O;fDr fdlh dk;Z dks 160 fnu esa iwjk dj ldrs gSA ;fn 18 vfrfjDr O;fDr dke ij yxk fn;s tk;s rks dk;Z 20 fnu igys gh iwjk gks tkrk gSA crkb, vkjEHk esa fdrus O;fDr dke ij yxk;s \(1) 140 (2) 120(3) 110 (4) 126

6. A,BandCwereemployedfordoapieceofworkfor

`522.AandBtogethercompletethe partofwork

andBandCtogethercompletetthe partofthework.FindA'sshare.

,d dke dks ` 522 esa djus ds fy, a, B vkSj C dks dke

ij yxk;k tkrk gSA a vkSj B feydj dke dk Hkkx

djrs gSa rFkk B vkSj C feydj dke dks Hkkx dj ysrs gSaA a dk fgLlk Kkr djsaA(1) `210 (2) `252(3) `240 (4) `200

7. A,BandCareemployedtodoapieceofworkfor̀ 529.

AandBtogetheraresupposedtodo oftheworkand

BandCtogether ofthework.Whatamountshould

128


Abepaid?

,d dke dks ` 529 esa djus ds fy, a, B vkSj C dks dke

ij yxk;k tkrk gSA a vkSj B feydj dke dk Hkkx

djrs gSa rFkk B vkSj C feydj dke dks Hkkx dj ysrs gSaA Kkr dhft, fd a dk fgLlk Kkr djsaA(1) `345 (2) ` 365(3) ` 300 (4) `285

8. AandBtogetheraresupposedtodo oftheworkand

BandCtogether ofthework.DifferenceofwagesofAandCis`5700.Findtheirtotalwages.

a vkSj B feydj dke dk Hkkx djrs gSa rFkk B vkSj C

feydj dke dks Hkkx dj ysrs gSaA ;fn a rFkk C dh etnwjh dk varj ̀ 5700 gS] rks mudh dqy etnwjh Kkr dhft,A(1) `16000 (2) ` 19000(3) `18000 (4) ` 18500

9. Alabourwasemployedfor40daystocompleteapieceofwork.Heget `20foreveryworkingdayand60%detectedofhisdailywagesforthedayhedidnotwork.Ifheget`576forthewholeworkthen,findthenumberofdayswhichhedidnotwork?

,d etnwj dks 40 fnuksa ds fy, dke ij j[kk x;kA ;g r; fd;k x;k fd mls izfrfnu ` 20etnwjh nh tk,xh rFkk ftl fnu og dke ij ugha vk,xk] ml fnu dh etnwjh rks ugha feysxh lkFk gh mls nSfud etnwjh dk 60» naM ds :i esa nsuk iM+sxkA ;fn og ` 576 etnwjh ds :i esa ik;k gks] rks og fdrus fnu dke ls vuqifLFkr jgk \(1) 5days (2) 7 days(3) 9days (4) 10days

10. A,B,CandDtogetherfinishapieceofworkandget` 60, ` 80, `90and120respectivelyfortheirwork.Theyget theirwages according to their efficiency. If they

togetherfinishtheworkin daysthen,findinhowmanydaysAandBtogetherfinishthework?

a, B, C vkSj d ,d lkFk feydj ,d dke iwjk djrk gS

rFkk mls Øe'k% ` 60] ` 80] ` 90 rFkk ` 120 etnwjh ds :i esa feyrs gSaA mudks nh x;h etnwjh mudh dk;Z {kerk ds

vuq:i gSA ;fn os lHkh feydj iwjk dke fnuksa esa iwjk dj ldrs gksa] rks Kkr dhft, fd a vkSj B feydj ml dke dks fdrus fnuksa esa dj ik;saxs \

(1) 10days (2) days

(3) days (4) days

11. AandBcandoapieceofworkin12daysand15daysrespectively.Togethertheystartedthework.Aftersomedays'B'leftthejoband'A'finishedtheremainingworkin3days.IfAandBareemployedtoapieceofworkfor`6600thanfindB'sshare.

a rFkk B fdlh dke dks Øe'k% 12 fnu rFkk 15 fnu esa dj ldrs gSaA nksuksa feydj dke 'kq: djrs gSA dqN fnuksa ckn 'B' dke NksM+ dj pyk tkrk gS rFkk 'ks"k dke 'a' rhu fnu esa djrk gSA ;fn a rFkk B dks dke ds fy, ` 6600 feyrs gksa] rks B dk fgLlk Kkr djasA(1) `2000 (2) `2200(3) `2500 (4) `3300

12. 6menand5childrenearn`1400in5days.8menand7childrenearn`3040in8days.Inhowmanydayswill4menand3childrenearn`720?

6 iq#"k vkSj 5 ckyd 5 fnuksa esa ` 1400 dekrs gSA 8 iq#"k vkSj 7 ckyd 8 fnuksa esa ` 3040 dekrs gSaA 4 iq#"k vkSj 3 ckyd fdrus fnuksa esa ` 720 dek,axs \(1) 4days (2) 6days(3) 8days (4) 10days

13. A,BandCundertaketodoaworkfor`480.AandBtogetherdo1/4oftheworkandrestisdonebyCalone.HowmuchshouldCget?

a, B rFkk C fdlh dk;Z dks ` 480 esa djus dk Bsdk ysrs gSA a rFkk B feydj dqy dk;Z dk 1/4 Hkkx djrs gS rFkk 'ks"k dk;Z C vdsyk djrk gSA C dks fdruk fgLlk feysxk\(1) `360 (2) `120(3) `240 (4) ` 180

14. Wagesof20boysfor15daysis̀ 9000.Ifthedailywagesofamanisoneandhalftimesthatofaboys,howmanymenmustworkfor30daystoearn`13500?

129


20 yM+dksa dk 15 fnu dk osru ` 9000 gSA ;fn ,d O;fDr dk izfr fnu dk osru ,d yM+ds ls Ms<+ xquk gks rks 30 fnu esa `13500dekus ds fy;s fdrus O;fDr dk;Z ij yxk;s\(1) 12men (2) 20men(3) 16men (4) 10men

15. A,BandCtogetherearn`1500in10days.AandCtogetherearn`800in8days.BandCtogetherearn` 900in9days.FindthedailyearningofA.

a, B rFkk C feydj 10 fnu esa ` 1500 dekrs gSaA a rFkk C feydj 8 fnu esa ` 800 dekrs gSaA B rFkk C feydj 9 fnu esa ` 900 dekrs gSaA rks a izfrfnu fdruk dekrk gS\(1) `50 (2) ` 60 (3) `40 (4) `30

answer key1. (3) 2. (3) 3. (2) 4. (1) 5. (4)6. (2) 7. (1) 8. (3) 9. (2) 10. (4)11. (2) 12. (1) 13. (1) 14. (4) 15. (1)

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171. A car covers a distance of 1078 kms. in 14 hours.

What is the speed of the car ? (1) 70 kms./ hr. (2) 72 kms./ hr. (3) 77 kms./ hr. (4) Cannot be determined (5) None of these

2. The average speed of a tractor is two-fifth the average speed of a car. The car covers 450 kms. in 6 hours. How much distance will the tractor cover in 8 hours ?

(1) 210 kms. (2) 240 kms. (3) 420 kms. (4) 480 kms. (5) None of these

3. A bus covers 156 kms. in 3 hours. The speed of a car is 3 times the speed of the bus. How much time will the car take to cover a distance of 780 kms. ?


4. The average speed of a bus is three-fifth the average speed of a car which covers 3250 Kms. in, 65 hours. What is the average speed of the bus ?

(1) 30 Kms.Jhr. (2) 20 Kms./hr. (3) 35 Kms./hr. (4) 36 Kms./hr. (5) None of these

5. A man covered a distance of 180 Kms. in 4 hours on a bike. How much distance will he cover on a bicycle in 8 hours if he rides the bicycle at one-sixth the speed of the bike ?

(1) 72 Kms. (2) 54 Kms. (3) 84 Kms. (4) 60 Kms. (5) None of these

6. A train is moving with a speed of 90 km/h. Its speed is

(1) 25 m/s (2) 30 m/s (3) 40 m/s (4) 50 m/s

7. A train is moving with a speed of 30 m/s. Its speed is

(1) 72 km/h (2) 100 km/h (3) 120 km/h (4) 108 km/h

8. A train travels at 40 km/hr. How many meters will it travel in 18 seconds ?

LeVeL - 1

(1) 210 m (2) 200 m (3) 250 m (4) 350 m

9. An athlete runs 200 meters race in 24 seconds. His speed is

(1) 20 km/hr (2)24 km/hr (3) 28.5 km/hr (4) 30 km/hr

10. A man riding his bicycle covers 150 meters in 25 seconds. What is his speed in km/hr?

(1) 20 km/hr (2) 21.6 km/hr (3) 23 km/hr (4) 25km/hr

11. In what time can Sonali cover a distance of 400 m, if she runs at a speed of 20 km/hr?

(1) 1 51

min (2) 1 21

min (3) 2 min (4) 3 min

12. 3 persons A,B and C covers a distance at 10 km/hr ,12 km/hr and 15 km/hr. the average speed is:

(1) 11 km/hr (2)12 km/hr (3) 7 km/hr (4) 3 km/hr

13. A man completes 30 km of a journey at 6 km/hr and the remaining 40 km of the journey in 5 hours. His average speed for the whole journey is

(1) 6 114

km/hr (2) 7 km/hr

(3) 7 21

km/hr (4) 8 km/hr14. A person starting from his house covers a distance

at 20 km/hr and returns to the starting place at 30 km/hr. His average speed during whole journey is

(1) 25 km/hr (2) 24 km/hr (3) 27 km/hr (4) 22 km/hr

15. A person starting from his house covers a distance at 15 km/hr and returns to the starting place at 10 km/hr. His average speed during whole journey is

(1) 11 km/hr (2) 12 km/hr

(3) 7 21

km/hr (4) 13 km/hr

16. A motor car does a journey in 10 hrs, the first half at 21 km/hr and the second half at 24 km/hr. Find

Speed Distance & time

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the distance. (1) 224km (2) 228km (3) 258km (4) 220km

17. A man rode out a certain distance by train at the rate of 25 km an hour and walked back at the rate of 4 km per hour. The whole journey took 5 hours and 48 minutes. What distance did he ride?

(1) 20km (2) 24km (3) 22km (4) 18km

18. The speed of A and B are in the ratio 3:4. A takes 20 minutes more than B to reach the destination. How much time will take A ?

(1) 1 31

hrs (2) 2 hrs (3) 1 32

hrs (4) 2 32

hrs

19. Walking 3/4 of his usual speed, a person is 10 min late to his office. Find his usual time to cover the distance.

(1) 30 min (2) 50min (3) 40min (4) 25 min

20. Walking at 7/8 of its usual speed, a train is 10 minutes too late. Find its usual time to cover the journey.

(1) 60 min (2) 70 min (3) 50 min (4) 40 min

21. Two cars run to a place at the speeds of 45 km/hr and 60 km/hr respectively. If the second car takes 5 hrs less than the first for the journey find the length of the journey.

(1) 900 min (2) 600min (3) 700min (4) 850 min

22. A man covers a certain distance between his house and office on scooter. Having an average speed of 30 km/hr, he is late by 10 min. However, with a speed of 40 km/hr, he reaches his office 5 min earlier. Find the distance between his house and office.

(1) 30 min (2) 50min (3) 40min (4) 25 min

23. A student walks from his house at 10 km/hr and reaches his school late by 6 minutes. Next day, he increases his speed to 15 km/hr and reaches 4 minutes before school time. How far is the school from his house?

(1) 12 km (2) 8 km (3) 5 km (4) 10 km

24. If a student walks from his house to school at 5km/hr, he is late by 30 minutes. However, if he walks at 6 km/hr, he is late by 5 minutes only. The distance of his school from his house is

(1) 2.5 km (2) 3.6 km (3) 5.5 km (4) 12.5 km

25. If a student walks from his house to school at 8 km/hr, he is late by 10 minutes. However, if he walks at 10 km/hr, he is before by 5 minutes. Find its usual time to cover journey.

(1) 55 min (2) 65 min (3) 45 min (4) 60 min

26. A man covers 1/3 of his journey at 40 km/hr and the remaining at 20 km/hr. He takes 15 hour in total journey. The distance total journey is ?

(1) 300 km (2) 360 km (3) 240km (4) 120 km

27. A man covers 1/4 of his journey at 20 km/hr and the remaining at 30 km/hr. He takes 15 hour in total journey. The distance total journey is ?

(1) 400 km (2)460 km (3) 440km (4) 420 km

28. A person covers a distance in 40 minutes if he runs at a speed of 45 km per hour on an average. Find the speed at which he must run to reduce the time of journey to 30 minutes.

(1) 60km/hr (2) 50km/hr (3) 40km/hr (4) 70km/hr

29. A person traveled 120 km by steamer, 450 km by train and 60 km by horse. It took 13 hours 30 minutes. If the rate of the train is 3 times that of the horse and 1.5 times that of the steamer, find the rate of the train per hour.

(1) 70km/hr (2) 50km/hr (3) 40km/hr (4) 60km/hr

30. A constable is 114 m behind a thief. The constable runs 21 m and the thief 15 m in a minute. In what time will the constable catch the thief ?

(1) 16 min (2) 17 min (3) 18 min (4)19 min

31. A thief is spotted by a policeman from a distance of 100 m. When the policeman starts the chase, the thief also starts running. If the speed of the thief 8 km/hr and that of the policeman 10 km/hr, how far the thief will have run before he is overtaken?

(1) 200 m (2) 300 m (3 ) 400 m (4) 500 m

32. A man takes 8 hours to walk to a certain place and ride back. However, he could have gained 2 hrs, if he had covered both ways by riding. How

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long would he have taken to walk both ways ? (1) 10hrs (2) 12hrs (3) 15hrs (4) 8hrs

33. I walk a certain distance and ride back taking a total time of 30 min. I could walk both ways in 40 min. How long would it take me to ride both ways ?

(1) 30 min (2) 25 min (3) 20 min (4) 35 min

34. A train reach a station at a certain time and at a fixed speed. If the train had been 6 km/hr faster, it would have taken 4 hours less than the scheduled time. And, If the train were slower by 6 km/hr, the would have taken 6 hours more than the scheduled time. The length of journey is :

(1) 700 (2)720 (3) 740 (4) 760

35. A train without stoppages travels at the rate of 50 km/hr and stoppages it travels at 45 km/hr. How many minutes does train stop on an average per hour

(1) 5 min (2) 6 min (3) 8 min (4) 10 min

36. A car covers a distance of 720 km at a constant speed. If the speed of the car would have been 10 km/hr more, then it would have taken 1 hrs less to cover the same distance. What is the original speed of the car?


37. A car covers a distance of 715 km at a constant speed. If the speed of the car would have been 10 km/hr more, then it would have taken 2 hrs less to cover the same distance. What is the original speed of the car?


38. The distance between two stations A and B is 440 km. A train starts at 4 p.m. from A and move towards B at an average speed of 40 km/hr. Another train starts B at 5 p.m. and moves towards A at an average speed of 60 km/hr. How far from A will the two trains meet and at what time ?

(1) 200,8 p.m. (2) 300,9 p.m. (3) 200,9 p.m. (4) 300,8 p.m.

39. The distance between two stations A and B is 365

km. A train starts at 10 a.m. from A and move towards B at an speed of 65 km/hr. Another train starts B at 11 a.m. and moves towards A at an speed of 35 km/hr. How far from B will two trains meet and at what time ?

(1) 105,2 p.m. (2)100,4 p.m. (3) 100,2 p.m. (4) 105,5 p.m.

40. The speed of a car increases by 2 km/h after every hour. If the distance traveled in the first hour was 35 km, what was the total distance traveled in 12 hours ?

(1) 552 km (2) 456 km (3) 556 km (4) 482 km

41. The speed of a car increases by 3 km after every hour. If the distance traveled in the first hour was 15 km, what was the total distance traveled in 8 hours ?

(1) 186 km (2) 204 km (3) 156 km (4) 212 km

42. Starting with the initial speed of 30 km/hr, the speed is increased by 2 km/hour every one hours. How many hours will it take to cover a distance of 492 km ?

(1) 9 (2) 6 (3) 12 (4) 8

43. Starting with the initial speed of 20 km/hr, the speed is increased by 4 km/hour every one hours. How many hours will it take to cover a distance of 180 km ?

(1) 9 (2) 6 (3) 12 (4) 8


((1) 14 km (2) 15 km (3) 16 km (4) 17km


((1) 64 km (2) 40 km (3) 96 km (4) 56km

46. A monkey ascends a greased pole 12 meters high. He ascends 2 meters in first minute and slip down 1 meter in the alternate minute. In which minute, he reaches the top ?

(1) 21st (2) 22nd (3) 23rd (4) 24th

47. A monkey ascends a greased pole 50 meters high. He ascends 5 meters in first minute and slip down

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2 meter in the alternate minute. In total time, he reaches the top?

(1) 30 (2) 15 (3) 31 (4) 16

answer key1. (3) 2. (2) 3. (4) 4. (1) 5. (4)6. (1) 7. (4) 8. (2) 9. (4) 10. (2)11. (1) 12. (2) 13. (2) 14. (2) 15. (2)16. (1) 17. (1) 18. (1) 19. (1) 20. (2)21. (1) 22. (1) 23. (3) 24. (4) 25. (2)26. (2) 27. (1) 28. (1) 29. (4) 30. (4)31. (3) 32. (1) 33. (3) 34. (2) 35. (2)36. (2) 37. (3) 38. (3) 39. (1) 40. (1)41. (2) 42. (3) 43. (2) 44. (3) 45. (2)46. (1) 47. (3)

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Speed Distance & time eVeL-2

1. Amancoveredacertaindistanceatauniformspeed.Ifspeedofthemanhadbeen3km/hrfaster,itwouldhavetaken40minlessthanthescheduledtime.Ifspeedofthemanwereslowerby2km/hr,themanwouldhavetaken,40minmorethanthescheduledtime.Thelengthofthejourneyandtheuniformspeedofmanis:

,d O;fDr fdlh pky ls dqN nwjh r; djrk gSA ;fn og 3 fdeh@?ka- rst pyrk gS rks mls og nwjh r; djus esa 40 feuV de yxrs gSA ;fn og 2 fdeh@?ka- /hjs pyrk gS] rks mls 40 feuV vf/d yxrs gSA dqy nqjh rFkk ml O;fDr dh izkjafHkd pky Kkr dhft,A(1) 40km,12km/hr (2) 50km,24km/hr(3) 40km,15km/hr (4) 80km,12km/hr

2. Amancoveredacertaindistanceatauniformspeed.Ifspeedofthemanhadbeen2km/hrfaster,itwouldhavetaken20minlessthanthescheduledtime.Ifspeedofthemanwereslowerby3km/hr,themanwouldhavetaken,40minmorethanthescheduledtime.Thelengthofthejourneyandtheuniformspeedofmanis:

,d O;fDr fdlh pky ls nqjh r; djrk gSA ;fn og 2 fdeh@?ka- rst pyrk gS rks mls og nqjh r; djus esa 20 feuV de yxrs gSA ;fn og 3 fdeh@?ka- /hjs pyrk gks] rks mls 40 feuV vf/d yxrs gSA dqy nqjh rFkk ml O;fDr dh izkjafHkd pky Kkr dhft,A(1) 60km,18km/hr (2) 30km,12km/hr(3) 30km,18km/hr (4) 90km,12km/hr

3. Amancoveredacertaindistanceatauniformspeed.Ifspeedofthemanhadbeen2km/hrfaster,itwouldhavetaken1hour15minuteslessthanthescheduledtime.Ifspeedofthemanwereslowerby2km/hr,themanwouldhavetaken,2hours5minutesmorethanthescheduledtime.Thelengthofthejourneyandtheuniformspeedofmanis:

,d O;fDr fdlh pky ls dqN nqjh r; djrk gSA ;fn og 2 fdeh@?ka- rst pyrk gS rks mls og nqjh r; djus esa 1 ?kaVs 15 feuV de yxrs gSA ;fn og 2 fdeh@?ka- /hjs pyrk gS] rks mls 2 ?kaVs 5 feuV vf/d yxrs gSA dqy nqjh rFkk ml O;fDr dh izkjafHkd pky Kkr dhft,A(1) 90km,18km/hr (2) 30km,15km/hr

(3) 50km,8km/hr (4) 60km,20km/hr

4. Atrain,after3hoursfromstarting,meetswithanaccidentwhichdetainsitfor1hours.Afterthisthetrainproceedsat75%ofitsformerspeedandarrives4hourslate.Hadtheaccidenthappened150kmfartheralongtheline,it

wouldhavearrivedonly3 hourslate.Findspeed

ofthetrainandtotaldistanceofjourney?

,d jsyxkM+h dks fdlh LVs'ku ls pyus ds 3 ?kaVs ckn nq?kZVukxzLr gksus ds dkj.k ,d ?kaVk :duk iM+k] blds ckn ;g jsyxkM+h ewyxfr dh 75» xfr ls vkxs pyh rFkk vius xarO; LFkku ij 4 ?kaVs nsjh ls igqaphA ;fn nq?kZVuk mlh jsyos ykbZu ij 150

fdeh vkxs gqbZ gksrh] rks xkM+h 3 ?kaVs foyEc ls

igqaprhA xkM+h dh pky rFkk dqy nqjh Kkr djsaA(1) 100km/hr,1500km (2) 200km/hr,1200km(3) 100km/hr,1200km (4) 150km/hr,1200km

5. AgoodstrainrunningfromstationAtoB,afteranhourfromstarting,meetswithanaccidentwhichdetainsitfor30minutes.Afterthisthetrainproceedsat4/5ofitsformerspeedandarrives2hourslate.Hadtheaccidenthappened80kmfartheralong the line, itwouldhavearrivedonly1hourslate.Findspeedofthetrainandtotaldistance?

,d ekyxkM+h LVs'ku a ls LVs'ku B dh vksj tkrh gSA pyus ds 1 ?kaVs ckn nq?kZVukxzLr gksus ds dkj.k mls 30 feuV :duk iM+k] blds ckn ;g ekyxkM+h ewyxfr ds 4@5 pky ls vkxs pyh rFkk vius xarO; LFkku ij 2 ?kaVs nsjh ls igqaphA ;fn nq?kZVuk mlh jsyos ykbZu ij 80 fdeh- vkxs gqbZ gksrh] rks ekyxkM+h 1 ?kaVs foyEc ls igqaprhA ekyxkM+h dh pky rFkk dqy nwjh Kkr djsaA(1) 10km/hrs,30km (2) 25km/hrs,150km(3) 100km/hrs,100km (4) 20km/hrs,140km

6. Twomenarerunningalongaparalleltrackinthesamedirection at the speed of 5 km/hr and 14 km/hrrespectively.A train running in the same direction

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overtake bothmen in 12 sec. and 16 second

respectively.Findthelengthofthetrain.

nks O;fDr Øe'k% 5 fdeh@?ka- rFkk 14 fdeh@?ka- dh pky ls jsy dh iVjh ds cxy esa leku fn'kk esa nkSM+ jgk gSA ,d jsyxkM+h leku fn'kk esa pyrh gqbZ mu O;fDr;ksa dks Øe'k% 12

lsd.M rFkk 16 lsd.M esa ikj dj tkrh gSA ml

jsyxkM+h dh yEckbZ D;k gS\(1) 160meter (2) 150meter(3) 100meter (4) 125meter

7. Twomenarerunningalongarailwaytrackatthespeedsof8km/hrand4km/hrmoreinthesamedirectioninwhichatrainisrunning.Thetrainovertakesfirstmanin6¼secondsandittakes2½secondsmoretoovertakethesecondmanthanthefirstman.Findspeedofthetraininkm/hr.

,d O;fDr 8 fdeh@?ka- dh xfr ls rFkk nqljk O;fDr blls 4 fdeh@?ka- dh vf/d xfr ls ,d jsyxkM+h dh fn'kk esa iVjh ds cxy esa nkSM+ jgs gSA ;g jsyxkM+h igys O;fDr dks 6¼ lsd.M esa ikj dj tkrh gS rFkk nwljs O;fDr dks ikj djus esa bls 2½lsd.M dk vf/d le; yxrk gSA ml jsyxkM+h dh pky fdeh@?ka- esa Kkr djsa\(1) 22km/hr (2) 20km/hr(3) 10km/hr (4) 15km/hr

8. Atraintakes10sec.tocrossamanrunninginthesamedirectionwiththespeedof5km/hrwhileittakes5sec.tocrossanothermanrunningintheoppositedirectionwiththespeedof5km/hr.Findthespeedofthetrain?

,d jsyxkM+h blds leku fn'kk esa 5 fdeh@?ka- dh xfr ls nkSM+ jgs ,d O;fDr dks 10 lsd.M esa ikj djrh gS tcfd blds foifjr fn'kk esa 5 fdeh@?ka- dh xfr ls nkSM+rs gq, nwljs O;fDr dks 5 lsd.M esa ikj dj tkrh gSA bl jsyxkM+h dh pky fdeh@?ka- esa Kkr djsa\(1) 20km/hr (2) 30km/hr(3) 10km/hr (4) 15km/hr

9. Atraintakes12sec.tocrossamanrunninginthesamedirectionwiththespeedof6km/hrwhileittakes10sec.tocrossanothermanrunningintheoppositedirection

withthespeedof5km/hr.Findthespeedofthetraininkm/hr?

,d jsyxkM+h mldh gh fn'kk esa 6 fdeh@?ka- dh pky ls tkrs gq, ,d O;fDr dks ikj djus esa 12 lsd.M dk le; ysrh gSA tcfd ml jsyxkM+h dks mlds foifjr fn'kk ls vkrs gq, ,d nwljs O;fDr dks ikj djus esa 10 lsd.M dk le; yxrk gS ftldh pky 5 fdeh@?ka- gSA jsyxkM+h dh pky fdeh@?ka- esa Kkr djs\(1) 60km/hr (2) 71km/hr(3) 70km/hr (4) 61km/hr

10. Lengthofonetrainis120metermorethanthatoftheanothertrain.Whentheyarerunninginoppositedirectiontheycrosseachotherin20seconds,iftheyarerunninginsamedirectionthefastertraintakes2minutetocrosstheslowertrain.Findspeedofthefastertrain,ifspeedofslowertrainis45km/hr.

nks jsyxkfM+;ksa esa ls ,d dh yEckbZ nwljs ls 120 ehVj vf/d gSA tc os foifjr fn'kkvksa esa pyrh gS rc ,d&nwljs dks 20 lsd.M esa ikj dj tkrh gS ysfdu tc os leku fn'kk esa pyrh gS rc rst xfr ls pyus okyh jsyxkM+h] /heh xfr ls pyus okyh jsyxkM+h dks 2 feuV esa ikj dj tkrh gSA rst xfr ls pyus okyh jsyxkM+h dh pky D;k gksxhA ;fn /heh xfr ls pyus okyh jsyxkM+h dh pky 45 lseh@?ka- gSA(1) 63km/hr (2) 75km/hr(3) 70km/hr (4) 61km/hr

11. Lengthofonetrainis140metermorethanthatoftheanothertrain.Whentheyarerunninginoppositedirectiontheycrosseachotherin35seconds,iftheyarerunninginsamedirection,thefastertraintakes4timesthantheprevioustimetocrosstheslowertrain.Findspeedofthefastertrain,ifspeedofslowertrainis27km/hr.

nks jsyxkfM+;ksa esa ls ,d dh yEckbZ nwljs ls 140 ehVj vf/d gSA tc os foifjr fn'kkvksa esa pyrh gS rc ,d&nwljs dks 35 lsd.M esa ikj dj tkrh gS ysfdu tc os leku fn'kkvksa esa pyrh gS rc rst xfr ls pyus okyh jsyxkM+h /heh xfr ls pyus okyh jsyxkM+h dks ikj djus esa igys fy;s x;s le; ls 4 xq.kk le; ysrh gSA ;fn /heh xfr ls pyus okyh jsyxkM+h dh pky 27 fdeh@?ka- jgh gks rc rst xfr ls pyus okyh jsyxkM+h dh pky Kkr djsa\(1) 45km/hr (2) 35km/hr(3) 70km/hr (4) 40km/hr

12. Acarcoverstotal140kmdistance,itcoverssomepartofthejourneyatthespeedof6km/hrandtherestpartofjourneyat10km/hr.Ifspeedof6km/hrisreplaced

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by10km/hrandspeed10km/hrreplacedby6km/hr,itcovers8kmmoredistanceinthesametime.Findtimetakenbythecartocover140kmdistanceandalsofindaveragespeedofthecar.

,d dkj dqy 140 fdeh dh nwjh r; djrh gS ftlesa ls dqN nqjh 6 fdeh@?ka- dh pky ls rFkk 'ks"k 10 fdeh@?ka- dh pky ls pyrh gSA ;fn 6 fdeh@?ka- ds cnys 10 fdeh@?ka- dh pky ls rFkk 10 fdeh@?ka- ds cnys 6 fdeh@?ka- dh pky ls pys rks og mrus gh le; esa 8 fdeh vf/d nwjh r; dj ysxhA ml dkj }kjk 140 fdeh- dh nwjh r; djus esa fdrus ?kaVs dk le; yxsxk rFkk dkj dh vkSlr pky Hkh Kkr djsa\

(1) 8hr,5 km/hr (2) 15hr,30 km/

hr (3) 18hr,7 km/hr

(4) 10hr,10 km/hr

13. TwotrainsstartfromDelhiandPatnatowardsPatnaandDelhirespectively.Afterpassingeachotherthesecond

traintake3 hrsandthefirsttraintakes4

hourstoreachDelhiandPatnarespectively.Ifspeedofthefirsttrainis45km/hr,thenfindspeedofthesecondtrain:

nks jsyxkfM+;ka fnYyh rFkk iVuk ls Øe'k% iVuk rFkk fnYyh ds fy, jokuk gksrh gSA ,d nwljs dks ikj djus ds ckn nwljh

jsyxkM+h 3 ?kaVs rFkk igyh jsyxkM+h 4 ?kaVs

esa Øe'k% fnYyh rFkk iVuk igqap tkrh gSaA ;fn igyh jsyxkM+h dh pky 45 fdeh@?ka- gks] rc nwljh jsyxkM+h dh pky Kkr djsa%(1) 76km/hr (2) 55km/hr(3) 75km/hr (4) 54km/hr

14. TwotrainsstartfromDelhiandJaipurtowardsJaipurandDelhirespectively.Afterpassingeachotherthesecondtraintake5hrs20minandthefirsttraintakes56¼%moretimetoreachDelhiandJaipurrespectively.Iftheir

relativespeed insamedirection is15km/hr thenfindspeedoffastertrains:

nks jsyxkfM+;ka fnYyh rFkk t;iqj ls Øe'k% t;iqj rFkk fnYyh ds fy, jokuk gksrh gSA ,d nwljs dks ikj djus ds ckn nwljh jsyxkM+h 5 ?kaVs 20 feuV rFkk igyh jsyxkM+h 56¼% vf/d le; Øe'k% fnYyh rFkk t;iqj igqapus esa ysrh gSA ;fn nksuksa dh lkisf{kr pky ,d gh fn'kk esa 15 fdeh@?ka- gks rks] rst xfr dh jsyxkM+h dh pky Kkr dhft,%(1) 76km/hr (2) 55km/hr(3) 75km/hr (4) 40km/hr

15. AtraincoversadistancebetweenAandBin45minutes.If thespeed isdecreasedby5km/hr. then it takes48minutes tocover thesamedistance.Find thedistancebetweenAandB(inkm.)andthespeedofatrain?

,d jsyxkM+h LVs'ku a ,oa B ds chp dh nwjh 45 feuV esa r; djrh gSA ;fn pky dks 5 fdeh@?ka- de dj ns rks ;g mruh gh nwjh dks 48 feuV esa r; djsxhA LVs'ku a ,oa B ds chp dh nwjh (fdeh- esa) rFkk jsyxkM+h dh pky Kkr djsaA(1) 60km,75km/hr (2) 60km,80km/hr(3) 40km,80km/hr (4) 70km,75km/hr

16. AtraincoversadistancebetweenAandBin48minutes.Theanothertrainhavingspeed6km/hr.lessthanthefirsttraincoversthedistanceBtoAin60minutes.FindthedistancebetweenAandB?

,d jsyxkM+h nks LVs'kuksa a ,oa B ds chp dh nwjh 48 feuV esa r; djrh gSA ,d nqljh jsyxkM+h ftldh pky igyh jsyxkM+h ls 6 fdeh@?ka- de gS LVs'ku B ls a ds chp dh nwjh 60 feuV esa r; djrh gSA LVs'ku a ls B ds chp dh nwjh (fdeh- esa) Kkr djsa\(1) 24km (2) 48km(3) 40km (4) 15km

17. DistancebetweentwostationsAandBis650km.andtwotrainsarerunningfromthesetwostationstowardseachother.Iftheystartedatsametimetheywillmeetin10hrs,ifthetrainrunningfromstationBisstartedafter4hours20minutesthanthetrainwhichwasrunningfromthestationA, thenboth trainmeetafter8hours fromstartingtowardseachother.Findthereaveragespeed.

nks jsyxkfM+;ka nks LFkkuksa a rFkk B ftlds chp 650 fdeh dh nwjh gS] ,d nwljs dh vksj pyrh gSA ;fn os ,d gh le; esa pyrh gS rc 10 ?kaVs ckn feyrh gSA ysfdu a ls pyus okyh xkM+h ds 4 ?kaVs 20 feuV ckn tc B ls pyusokyh xkM+h pys rc nksuksa jsyxkM+h nwljh xkM+h ds pyus ds 8 ?kaVs ckn feyrh gSA xkfM+;ksa dh vkSlr xfr Kkr dhft,A(1) 15km/hr,50km/hr (2) 20km/hr,45km/hr

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(3) 25km/hr,40km/hr (4) 30km/hr,35km/hr18. Busesstartfromabusterminalwithaspeedof20km/

hratintervalsof10minutes.Whatisthespeedofamancoming from the opposite direction towards the busterminalifhemeetsthebusesatintervalof8minutes?

cl VfeZuy ls izR;sd 10 feuV esa 20 fdeh@?ka- dh pky ls cls fudyrh gSaA foifjr fn'kk ls cl VfeZuy dh vksj vkrs gq, ml O;fDr dh pky D;k gksxh tks izR;sd cl dks 8 feuV ds varjky esa feyrk gks\(1) 5km/hr (2) 2 km/hr(3) 4km/hr (4) 6km/hr

19. Busesstartfromabusterminalwithaspeedof45km/hratintervalof20min.Whatisthespeedofamancomingfromoppositedirectiontowardsthebusterminalifhemeetsthebusesatintervalof15minutes?

cl VfeZuy ls izR;sd 20 feuV esa 45 fdeh@?ka- dh pky ls cls fudyrh gSaA foifjr fn'kk ls cl VfeZuy dh vksj vkrs gq, ml O;fDr dh pky D;k gksxh tks izR;sd cl dks 15 feuV ds varjky esa feyrk gks\(1) 60km/hr (2) 4 km/hr(3) 15km/hr (4) 10km/hr

20. Oneaeroplanestarted30minuteslaterthanthescheduledtimefromaplace1500kmawayfromitsdestination.Toreachthedestinationatthescheduledtimethepilothadtoincreasethespeedby250km/hr.Whatwastheusualspeedoftheaeroplaneperhour?

1500 fdeh- dh nwj ,d LFkku ls ,d gokbZ tgkt fuf'pr le; ls 30 feuV nsjh ls pyrk gSaA y{; ij fuf'pr le; ij igqapus ds fy, ik;yV tgkt dh xfr 250 fdeh@?ka- vf/d dj nsrk gSA gokbZ tgkt dh okLrfod xfr D;k Fkh\(1) 750km/hr (2) 574km/hr(3) 665km/hr (4) 757km/hr

21. Anaeroplanestartedonehourlaterthanitsscheduledtimefromaplace1200kmawayfromitsdestination.Toreachthedestinationatthescheduledtime,thepilothadtoincreasethespeedby200km/hr.Whatwastheactualspeedoftheaeroplaneperhourinnormalcase?

1200 fdeh- dh nwj ,d LFkku ls ,d gokbZ tgkt fuf'pr le; ls 1 ?kaVk nsjh ls pyrk gSaA y{; ij fuf'pr le; ij igqapus ds fy, ik;yV tgkt dh xfr 200 fdeh@?ka- vf/d dj nsrk gSA gokbZ tgkt dh okLrfod pky D;k Fkh\(1) 750km/hr (2) 540km/hr(3) 405km/hr (4) 400km/hr

22. Atrainwaslateby6minutes.Thedriverincreasedits

speedby4km/hr.toreachthenextstationontimewhichwas36kmaway.Findtheoriginalspeedofthetrain.

,d jsyxkM+h 6 feuV ysV FkhA 36 fdeh- nwj vxys LVs'ku ij lgh le; ij igqpus ds fy, pkyd jsyxkM+h dh xfr 4 fdeh@?ka- vf/d dj nsrk gSA jsyxkM+h dh okLrfod pky Kkr dhft,\(1) 36km/hr (2) 54km/hr(3) 45km/hr (4) 40km/hr

23. Atrainwas lateby6minute.Thedriver increasedits

originalspeed36km/hrby11 %andtherefore,

the train reached its destination on time. Find thedistance?

,d jsyxkM+h 6 feuV ysV FkhA pkyd 36 fdeh@?ka- dh okLrfod

pky dks 11 % ls c<+k nsrk gSA ftlls fd og vius

y{; ij lgh le; ij igqap tkrk gSA nwjh Kkr djsa(1) 40km (2) 19km(3) 36km (4) 50km

24. WhenamantravelsequaldistanceatspeedV1andV2 km/hr,hisaveragespeedis4km/hr.But,whenhetravelsatthesespeedsforequaltimeshisaveragespeedis4.5km/hr.Answerthefollowingquestions:

1. Sumoftwospeeds(i.e.V1+V2) 2. Differenceoftwospeed(i.e.V1–V2) 3. Productoftwospeed(i.e.V1×V2) 4. FindV1

5. FindV2

tc ,d O;fDr cjkcj nwjh V1 rFkk V2 fdeh@?ka- dh pky ls r; djrk gS rc mldh vkSlr pky 4 fdeh@?ka- vkrh gSA ijarq tc og bUgh pkyks ls cjkcj le; rd pyrk gS rc mldh vkSlr pky 4-5 fdeh@?ka- gksrh gS] rks fuEu iz'uksa ds mÙkj nhft,A

1. nksuksa pkyksa dk ;ksx (i.e.V1+V2) 2. nksuksa pkyksa dk vkarj (i.e.V1–V2) 3. nksuksa pkyksa dk xq.kuiQy(i.e.V1×V2) 4. V1 dk eku Kkr djsa 5. V2 dk eku Kkr djsa25. WhenamantravelsequaldistanceatspeedV1andV2 km/

hr,hisaveragespeedis12km/hr.But,whenhetravelsatthesespeedsforequaltimeshisaveragespeedis12.5

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km/hr.Answerthefollowingquestions: 1. Sumoftwospeeds(i.e.V1+V2) 2. Differenceoftwospeed(i.e.V1–V2) 3. Productoftwospeed(i.e.V1×V2) 4. FindV1

5. FindV2

tc ,d O;fDr cjkcj nwjh V1 rFkk V2 fdeh@?ka- dh pky ls r; djrk gS rc mldh vkSlr pky 12 fdeh@?ka- vkrh gSA ijarq tc og bUgh pkyks ls cjkcj le; rd pyrk gS rc mldh vkSlr pky 12-5 fdeh@?ka- gksrh gS] rks fuEu iz'uksa ds mÙkj nhft,A

1. nksuksa pkyksa dk ;ksx (i.e.V1+V2)

2. nksuksa pkyksa dk vkarj (i.e.V1–V2)

3. nksuksa pkyksa dk xq.kuiQy(i.e.V1×V2)

4. V1 dk eku Kkr djsa

5. V2 dk eku Kkr djsa26. Findratioofaveragespeedofamantravelshalfpartof

journeyatspeedof15km/hrandrestpartofthejourneyatspeedof10km/hrwithaveragespeedofamantravelsatthespeedsforequaltime?

,d O;fDr dqy ;k=kk dk vk/k Hkkx 15 fdeh@?ka- dh xfr ls r; djrk gS rFkk 'ks"k Hkkx 10 fdeh@?ka- dh xfr ls r; djrk gS] bl izdkj tks vkSlr pky vk;s mldk vuqikr bu pkyks ls cjkcj le; esa pyus ls vkusokyh vkSlr pky ds lkFk Kkr djsa\(1) 24:25 (2) 15 : 19(3) 25:24 (4) 30:45

27. Amancoveredacertaindistanceatanaveragespeedof50km/hrandcomesbackatthespeedof40km/hrfindaveragespeedofthemanduringthewholejourney?

,d O;fDr fdlh ;k=kk dks 50 fdeh@?ka- dh vkSlr pky ls r; djrk gSa rFkk okfil 40 fdeh@?ka- dh xfr ls vkrk gSA iqjh ;k=kk ds nkSjku bldh vkSlr pky Kkr dhft,\

(1) 44 km/hr (2) 50km/hr

(3) 43 km/hr (4) 42km/hr

28. Amancoveredone-thirdpartofajourneyatanaverage

speedofakm/hr,nextone-thirdpartofthejourneyatanaveragespeedofbkm/hrandrestpartofajourneyatanaveragespeedofckm/hr.Findhisaveragespeedofduringthewholejourney?

,d O;fDr dqy ;k=kk dk ,d&frgkbZ Hkkx a fdeh@?ka- dh xfr ls] vxyk ,d&frgkbZ Hkkx b fdeh@?ka- dh xfr ls rFkk 'ks"k Hkkx c fdeh@?ka- dh xfr ls r; djrk gSA iqjh ;k=kk ds nkSjku mldh vkSlr pky Kkr dhft,\

(1) km/hr (2)

km/hr (3) km/

hr (4) km/hr

29. Amancoveredone-thirdpartofajourneyatthespeedof50km/hr,one-fourthpartofthejourneyatthespeedof40km/hrandrestpartofthejourneyatthespeedof20km/hr.Findhisaveragespeedduringthewholejourney?

,d O;fDr dqy ;k=kk dk ,d&frgkbZ Hkkx 50 fdeh@?ka- dh xfr ls r; djrk gS] dqy ;k=kk dk ,d&pkSFkkbZ Hkkx 40 fdeh@?ka- dh xfr ls r; djrk gSa rFkk ;k=kk dk 'ks"k Hkkx 20 fdeh@?ka- dh xfr ls r; djrk gSA iqjh ;k=kk ds nkSjku bldh vkSlr pky Kkr dhft,\

(1) 28 km/hr (2) 29 km/hr

(3) 26 km/hr (4) 25 km/hr

30. Acertaindistance is coveredbya cyclist at a certainspeed.IfaJoggercovershalfthedistanceindoublethetime,theratioofthespeedofjoggertothatofthecyclistis:

,d lkbdy lokj }kjk fuf'pr pky ls ,d fuf'pr nwjh dks r; fd;k tkrk gSA ;fn ,d /kod bl fuf'pr nwjh dk vk/k

139


Hkkx nqxqus le; esa r; djrk gks] rks /kod rFkk lkbdy lokj dh pky dk vuqikr gksxk%

(1) 1:4 (2) 4 : 1(3) 1:2 (4) 2:1

31. ThedistancebetweenplacesA andB is 999km.AnexpresstrainsleavesAat6amandrunsataspeedof55.5km/hr.Thetrainstopsonthewayfor1hour20minutes.ItreachedBat:

LFkku a rFkk B ds chp dh nwjh 999 fdeh gSA ,d ,Dlizsl jsyxkM+h LFkku a ls lqcg 6 cts 55-5 fdeh@?ka- dh pky ls jokuk gksrh gSA jsyxkM+h jkLrs esa 1 ?kaVk 20 feuV :drh gSA ;g B ij igqapsxh%

(1) 1:20am (2) 12pm(3) 6pm (4) 11pm

32. Ifaboywalksfromhishousetoschoolattherateof4kmperhour,hereachestheschool10minutesearlierthanthescheduledtime.However,ifhewalksattherateof3km/h,hereaches10minuteslate.Findthedistanceofhisschoolfromhishouse.

;fn ,d yM+dk vius ?kj ls Ldwy 4 fdeh@?ka- dh pky ls pyrk gS] rc og vius Ldwy fuf'pr le; ls 10 feuV igys igqap tkrk gSA tcfd ;fn og 3 fdeh@?ka- dh pky ls pyrk gS rks 10 feuV nsjh ls igqaprk gSA Ldwy ls ?kj dh nwjh Kkr djsa\

(1) 5km (2) 4 km(3) 6km (4) 4.5km

33. Ifaboywalksfromhishousetoschoolattherateof5km/hr,he reaches theschool10minutes late than thescheduledtime.However,ifhewalksattherateof1km/hrmorethanthepreviousspeedhereaches10minutesearlier than thescheduled time.Answer thefollowingquestions:(i) Distancebetweenhousetoschool;(ii) Findthecorrecttime;(iii)Findthecorrectspeed;

;fn ,d yM+dk vius ?kj ls Ldwy 5 fdeh@?ka- dh pky ls pyrk gS] rc og vius Ldwy fuf'pr le; ls 10 feuV nsjh ls igqaprk gSA ;fn og viuh pky dks 1 fdeh@?ka- dh xfr ls c<+k ns rc og 10 feuV tYnh igqap tkrk gSA fuEufyf[kr iz'uksa ds mÙkj nhft,A(i) ?kj ls Ldwy ds chp dh nwjh Kkr dhft,_

(ii) lgh le; Kkr dhft,_(iii)lgh pky Kkr dhft,_

(1) 10km,1hr50min.,5 km/hr




34. Two trains are running at the speed40km/hr and20km/hrrespectivelyinthesamedirection.Thefasttraincompletelypassesamansitting in theslowtrain in5seconds.Thelengthofthefasttrainis

nks jsyxkfM+;ka ,d gh fn'kk esa Øe'k% 40 fdeh@?ka- rFkk 20 fdeh@?ka- dh pky ls pyrh gSA rst xfr okyh jsyxkM+h /heh xfr ls tkusokyh jsyxkM+h esa cSBs O;fDr dks 5 lsd.M esa iqjh rjg ikj dj tkrh gSA rst xfr ls tkusokyh jsyxkM+h dh yEckbZ Kkr djsa\

(1) 23 m (2) 27m

(3) 27 m (4) 23m

35. AtraingoesfromBallygungetoSealdahatanaveragespeedof20km/hrandcomesbackatanaveragespeedof30km/hr.Theaveragespeedofthetrainforthewholejourneyis:

,d jsyxkM+h ckyhxat ls fl;kyng 20 fdeh@?ka- dh pky ls tkrh gS rFkk 30 fdeh@?ka- dh pky ls okil vkfr gSA iqjh ;k=kk ds nkSjku jsyxkM+h dh vkSlr pky gksxh%(1) 27km/hr (2) 26km/hr(3) 25km/hr (4) 24km/hr

140


36. PandQare27kmaway.Twotrainswithspeedof24km/hrand18km/hrrespectivelystartsimultaneouslyfromPandQandtravelinthesamedirection.TheymeetatpointRbeyondQ.distanceofQRis

LFkku P rFkk Q 27 fdeh- dh nwjh ij gSaA nks jsyxkM+h Øe'k% 24 fdeh@?ka- rFkk 18 fdeh@?ka- dh pky ls ,dlkFk P rFkk Q ls ,d gh fn'kk esa tkrh gSaA os LFkku R ij feyrh gSa] tks Q ds ijs gSA QR dh nwjh Kkr djsa\(1) 126km (2) 81km(3) 48km (4) 36km

37. Amandrivingat3/4thofhisoriginalspeedreacheshisdestination20minuteslaterthantheusualtime.Thentheusualtimeis:

,d O;fDr vius okLrfod pky dk 3@4 pky ls pydj fdlh LFkku ij fu'ep le; ls 20 feuV nsjh ls igqaprk gSA okLrfod le; gksxk%(1) 45minutes (2) 60minutes(3) 75minutes (4) 20minutes

38. Withoutanystoppagesaveragespeedofatrainis90km/hrandwithstoppagesaveragespeedreduceto80km/hr.Findthetotaltimeofstoppagesin3hr.

fcuk :ds ,d jsyxkM+h dh vkSlr pky 90 fdeh@?ka- gS vkSj :d&:d dj pyus ij bl jsyxkM+h dh vkSlr pky 80 fdeh@?ka- jg tkrh gSA crkb;s ;g jsyxkM+h 3 ?kaVs esa fdrus le; dk foJke ysrh gSA(1) 20min. (2) 30min(3) 10min (4) 15min

39. Inwhattimeatrainwillcoveradistanceof36kmatthespeedof12km/hr,ifittakes12minutesrestaftercoveringeach1kmdistance?

crkb;s ,d jsyxkM+h 36 fdeh- dh nwjh fdrus le; esa r; dj ysxh ;fn og 12 fdeh@?ka- dh xfr ls pys vkSj izR;sd 1 fdeh- dh nwjh r; djus ds ckn 12 feuV dk foJke ysrh gS\(1) 9hrs48min. (2) 10hrs(3) 10hrs12min (4) 9hrs

40. Anexpresstraintravelledatanaveragespeedof100km/hr,stoppingfor3minutesafterevery75km.Alocaltraintravelledataspeedof50km/hr,stoppingfor1minuteafterevery25km.Ifthetrainsbegantravellingatthesametimehowmanykilometersdidthelocaltraintravelinthetimeittooktheexpresstraintotravel600km?

,d ,Dlizsl jsyxkM+h ftldh xfr 100 fdeh@?ka- gS] izR;sd 75 fdeh- ds ckn 3 feuV :drh gSA ,d yksdy jsyxkM+h

ftldh xfr 50 fdeh@?ka- gS] izR;sd 25 fdeh- ds ckn 1 feuV :drh gSA ;fn nksuksa jsyxkfM+;ka ,d gh le; ij pys] rks yksdy jsyxkM+h mrus le; esa fdrus fdeh- pysxh ftrus le; esa ,Dlizsl jsyxkM+h 600 fdeh- tkrh gksa\(1) 307.5km (2) 900km(3) 1000km (4) 1200km

41. Twotrainsrunninginoppositedirectionscrossamanstandingontheplatformin27secondand17secondsrespectivelyandtheycrosseachotherin23seconds.Theratiooftheirspeedsis:

nks jsyxkfM+;ka foifjr fn'kk esa pyrs gq, IysViQkWeZ ij [kM+s ,d O;fDr dks Øe'k% 27 lsd.M rFkk 17 lsd.M esa ikj djrh gS rFkk ,d nwljs dks 23 lsd.M esa ikj djrh gSA nksuksa jsyxkfM+;ksa dh xfr esa vuqikr gksxk%(1) 3:2 (2) 2:2(3) 5:10 (4) 1:2

42. Afastertrainxspeedingwith120km/hrcrossesanotherslowertrainy,runninginthesamedirection,in2minutes.Ifthelengthofthetrainsxandybe100mand200mrespectively,whatisthespeedoftrainy?

,d rst xfr dh jsyxkM+h x 120 fdeh@?ka- dh pky ls pyrs gq, nwljh /heh xfr dh jsyxkM+h y tksfd mlh fn'kk esa tk jgh gS dks 2 feuV esa ikj dj tkrh gSA ;fn jsyxkM+h x rFkk y dh yEckbZ Øe'k% 100 eh- rFkk 200 eh- gks] rks y jsyxkM+h dh xfr D;k gksxh\(1) 9km/hr (2) 129km/hr(3) 150km/hr (4) 111km/hr

43. Two trains, each 100m long,moving in oppositedirection,crosseachotherin8seconds.Ifoneismovingtwiceasfasttheother,thenthespeedofthefastertrainis:

nks jsyxkfM+;ka izR;sd 100 eh- yEch] foifjr fn'kk esa pyrs gq,] ,d&nwljs dks 8 lsd.M esa ikj dj tkrh gSA ;fn ,d jsyxkM+h dh xfr nwljh jsyxkM+h ls nqxquh gks] rks rst xfr dh jsyxkM+h dh pky gksxh%(1) 30km/hr (2) 45km/hr(3) 60km/hr (4) 75km/hr

44. Atraintravellingat48km/hrcompletelycrossesanothertrainhavinghalfofitslengthandtravellinginoppositedirection at 42km/hr, in 12 seconds. It also passes arailwayplatformin45seconds,thenthelengthoftheplatformis:

,d jsyxkM+h 48 fdeh@?ka- dh pky ls viuh ls vk/h yEckbZ

141


dh nwljh jsyxkM+h ftldh pky 42 fdeh@?ka- gS dks foifjr fn'kk esa pyrs gq, 12 lsd.M esa ikj dj tkrh gSA ;g jsyxkM+h ,d jsyos IysViQkWeZ dks 45 lsd.M esa ikj djrh gSA IysViQkWeZ dh yEckbZ D;k gS\ (1) 400m (2) 450m(3) 560m (4) 600m

45. Twogunswerefiredfromthesameplaceatanintervalof13min.Apersoninatrainapproachingtheplacehearsthe2ndreport12min30secondafterthe1st.Findthespeedofthetrain,supposingthatsoundtravelsat330m/sec.

13 feuV ds varjky ls nks canwd pykbZ tkrh gSA ijarq jsyxkM+h esa lokj dksbZ O;fDr igyh xksyh pyus ds 12 feuV 30 lsds.M ckn nwljh xksyh dh vokt lqurk gSA ;fn èofu dk osx 330 fe@lsa- gks rks xkM+h dh pky D;k Fkh\

(1) 47 km/hr (2) 47.50km/hr

(3) 80km/hr (4) 45 km/hr

46. Twogunswerefiredfromthesameplaceatanintervalof26min.Apersoninatrainapproachingtheplacehearsthe2ndreport25minafterthe1st.Findthespeedofthetrain,supposingthatsoundtravelsat660m/sec.

26 feuV ds varjky ij ,d gh LFkku ls nks xksfy;ka pykbZ tkrh gSA mlh LFkku dh rjiQ tkrh gqbZ ,d jsyxkM+h esa cSBs ,d O;fDr dks igyh xksyh ds vkokt lquus ds 25 feuV i'pkr nwljh xksyh dh vkokt lqukbZ nsrh gSA jsyxkM+h dh xfr Kkr djsa] ;fn èofu dh xfr 660 fe-@ls- gks\(1) 2375/25km/hr (2) 2375/20km/hr(3) 2376/25km/hr (4) 2376/20km/hr

47. Anenginewasrunninginfogitpassedamanwhowaswalkingatthespeedof3km/hrinthesamedirection.Hecouldseetheenginefor4minutesanduptoadistanceof100meters.Whatwasthespeedofengine?

,d bZatu dqgkls esa mlh fn'kk esa 3 fdeh@?ka- dh xfr ls tkrs gq, ,d O;fDr dks ikj djrh gSA og O;fDr ml bZatu dks 4 feuV rd rFkk 100 eh- vkxs rd ns[k ikrk gS] bZatu dh xfr D;k gksxh\(1) 5km/hr (2) 4½km/hr(3) 10km/hr (4) 8km/hr

48. Speedofasteamengineis24km/hr.Decreaseinspeed

oftheengineisdirectlyproportionaltothesquarerootofnumberofwagonsattached.If4wagonsattachedtotheenginespeedoftheengineisdecreasedto20km/hr.Findmaximumnumberofwagonthatcanbeattachedsothatspeedoftheengineislowest.

,d ok"ipfyr batu jsy ds fMCcksa ds cxSj 24 fdeh@?ka- dh pky ls py ldrk gSA batu dh xfr esa deh lkFk esa yxk, x, fMCcksa dh la[;k ds oxZewy ds lekuqikrh gSA 4 fMCcs ds lkFk mldh xfr 20 fdeh@?ka gks tkrh gSA fMCcksa dh vf/dre la[;k Kkr dhft, ftlls batu [khap ldrk gS\(1) 144 (2) 143(3) 50 (4) 125

49. Ahare,pursuedbyadog.Inacertaintimedogcanjump5leapsandinthesametimeharecanjumphis6leaps.Whilelengthof4leapsofthedogisequalto5leapsofthehare.Ifspeedofthedogis5km/hrthenfindthespeedofthehare(inkm/hr)?

,d dqÙkk ,d [kjxks'k dk fiNk djrk gSA ftrus le; esa dqÙkk 5 Nykaxs yxkrk gS mrus le; esa [kjxks'k 6 Nykaxs yxkrk gS rFkk dqÙks dh 4 Nykaxksa dh yEckbZ [kjxks'k dh 5 Nykaxksa ds cjkcj gSA ;fn dqÙks dh xfr 5 fdeh@?ka- jgh gks] rc [kjxks'k dh xfr Kkr djsa (fdeh@?ka-)\(1) 4.5km/hr (2) 4km/hr(3) 4.8km/hr (4) 3km/hr

50. Ahare,pursuedbyadog,is125ofherownleapsaheadof him.While the hare takes 4 leaps the dog takes 3leaps.Inoneleaptheharegoes.1.75meterandthedog2.75meters.Inhowmanyleapswillthedogovertakethehare?

,d dqÙkk ,d [kjxks'k dk ihNk djrk gSA izkjEHk esa [kjxks'k ml dqÙks ls vius Nykax ls 125 Nykaxs vkxs FkkA ftrus le; esa [kjxks'k 4 Nykax yxkrk gS mrus gh le; esa dqÙkk 3 Nykax yxkrk gSA [kjxks'k dh ,d Nykax 1-75 ehVj rFkk dqÙks dh ,d Nykax 2-75 ehVj gSA dqÙkk fdruh Nykaxksa esa ml [kjxks'k dks idM+ ysxk\(1) 520 (2) 525(3) 400 (4) 600

51. Two trainsare runningonaparallel track inoppositedirectionand their speedsare64km/hrand96km/hrrespectively.Thefirsttraincrossedapolein5secondswhereas the second train crossed the same pole in 6seconds.Findthetimetakenbythetrainstocrosseachothercompletely.

nks jsyxkfM+;ka lekukarj iVfj;ksa ij foifjr fn'kk esa Øe'k% 64 fdeh@?ka- vkSj 96 fdeh@?ka- dh jÝrkj ls tk jgh gSA igyh

142


jsyxkM+h ,d [kEHks dks 5 lsds.M esa ikj djrh gS tcfd nwljh xkM+h ml [kEHks dks 6 lsds.M esa ikj djrh gSA jsyxkfM+;ksa }kjk ,d nwljs dks iwjh rjg ikj djus esa fy;k x;k le; Kkr djsaA

(1) 5sec (2) 5 sec

(3) 9sec (4) 3sec52. Fromtwoplaces,60kmapart,AandBstarttowardseach

otheratthesametimeandmeeteachotherafter6hours.HadAtravelledwith2/3ofhisspeedandBtravelledwithdoubleofhisspeed,theywouldhavemetafter5hours.ThespeedofAis

60 fdeh- dh nwjh ij fLFkr nks LFkkuksa ls a rFkk B ,d gh le; ,d&nwljs dh vksj jokuk gksrs gSa rFkk ,d&nwljs ls 6 ?k.Vs ckn feyrs gSaA ;fn a viuh pky dh 2@3 rFkk B viuh pky dh nqxquh pky ls pyk gksrk] rks os ,d&nwljs ls 5 ?k.Vs ckn feys gksrsA a dh pky gS(1)4km/hr (2) 6 km/hr(3)10km/hr (4)12km/hr

53. A,BandCstarttogetherfromthesameplacetowalkroundacircularpathoflength12km.Awalksattherateof4km/hr.,Battherateof3km/hrandCattherateof2/3km/hr.Theywillmeettogetheratthestartingplaceattheendof

a, B rFkk C ,d gh LFkku ls 12 fdeh- yEckbZ okys ,d o`Ùkkdkj iFk ij ,d lkFk jokuk gksrs gSaA a 4 fdeh-@?ka-] B 3 fdeh-@?ka- rFkk C 2@3 fdeh-@?ka- dh pky ls pyrk gSA os izLFkku fcUnq ij ,d lkFk fdrus le; ckn feysaxs\(1)10hrs (2) 12hrs(3)15hrs (4)36hrs

54. A,BandCcanwalkattheratesof3,4and5kmperhourrespectively.TheystartsfromPuneat1,2,3o'clockrespectively.WhenBcatchesA,BsendshimbackwithamessagetoC.WhenwillCgetthemessage?

a, B ,oa C Øe'k% 3] 4 ,oa 5 fd-eh- izfr ?kaVk dh jÝrkj ls py ldrs gSaA os iwuk ls Øe'k% 1] 2 ,oa 3 cts izLFkku djrs gSaA tc B, a rd igq¡p tkrk gS rks B, C ds fy, lwpuk Hkstrk gSA C dks lwpuk dc izkIr gksxh\(1)4:15o'clock (2) 5 : 15o'clock(3)6:25o'clock (4)4:00o'clock

55. Agoodstrainandapassengertrainarerunningonparalleltracksinthesamedirection.Thedriverofthegoodstrain

observes that thepassenger traincomingfrombehindovertakeshistraincompletelyin60seconds.Whereasapassengeronthepassengertrainmarksthathecrossedthegoodstrainin40seconds.Ifthespeedofthetrainbeintheratioof1:2,findtheratiooftheirlengths.

,d ekyxkM+h rFkk ,d ;k=kh xkM+h lekarj iVjh ij ,d gh fn'kk esa pyrh gSA ekyxkM+h dk pkyd ns[krk gS fd ;k=kh xkM+h fiNys ls vkrs gq, mls 60 lsd.M esa ikj dj tkrh gSA tcfd ;k=kh xkM+h esa cSBk ,d ;k=kh ik;k fd mlus ekyxkM+h dks 40 lsd.M esa ikj fd;kA ;fn jsyxkM+h dh pky dk vuqikr 1 % 2 gks] rks mudh yEckb;ksa dk vuqikr D;k gksxk\ (1)1:2 (2)2:1(3)3:2 (4)2:3

56. The speeds of two trains are in the ratio of 7 : 9.They aremoving in the opposite directions onparalleltracks.Thefirsttraincrossedatelegraphpolein4secondswhereasthesecondtraincrossedthesamepolein6seconds.Findthetimetakenbythetrainstocrosseachothercompletely.

nks jsyxkfM+;ksa dh pkyksa dk vuqikr 7 % 9 gSA nksuksa jsyxkfM+;ka lekukarj iVfj;ksa ij foifjr fn'kk esa pyrh gSA igyh jsyxkM+h ,d VsfyxzkiQ iksy dks 4 lsd.M esa tcfd nwljh jsyxkM+h mlh iksy dks 6 lsd.M esa ikj djrh gSA ,d&nwljs dks ikj djus esa yxk le; Kkr djsa\

(1) seconds (2) seconds

(3) seconds (4) seconds57. Twotrainstravelinthesamedirectionatthespeedsof56

km/hrand29km/hrrespectively.Thefastertrainpassedamanintheslowertrainin10seconds.Thelengthofthefastertrain(inmetres)is:

nks jsyxkfM+;ka ,d gh fn'kk esa Øe'k% 56 fdeh@?ka- rFkk 29 fdeh@?ka- dh pky ls pyrh gSaA rst xfr dh jsyxkM+h /heh xfr dh jsyxkM+h esa cSBs ,d O;fDr dks 10 lsd.M esa ikj dj tkrh gSA rst xfr ds jsyxkM+h dh yEckbZ (ehVj esa) gksxh%(1)100 (2)80(3)75 (4)120

58. Twotrainsrunninginthesamedirectionat40kmphand22kmphcompletelypassoneanotherin1minute.Ifthelengthofthefirsttrainis125metres,thelengthofthesecondtrainis

leku fn'kk esa Øe'k% 40 fdyksehVj ,oa 22 fdyksehVj@?kaVk

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dh jÝrkj ls tk jgh nks xkfM+;k¡ ,d&nwljs dks 1 feuV esa ikj dj ysrh gSaA ;fn igyh jsyxkM+h dh yackbZ 125 ehVj gks rks nwljh jsyxkM+h dh yackbZ gSA(1) 125m (2) 150m(3) 175m (4)200m

59. If a train is running fromDelhi at 8 amand reachedGaziabadat10am.WhileanothertrainisrunningfromGaziabadat8amandreachedDelhiat10am.Atwhattimewilltheystarttocrossiftheyarerunningparalleltracks?

,d jsyxkM+h fnYyh ls izkr% 8 cts pydj xkft;kckn 10 cts igqaprh gSA tcfd] nwljh jsyxkM+h xkft;kckn ls 8 cts py dj fnYyh 10 cts igqaprh gSA crkb;s nksuksa jsyxkfM+;ka ,d nwljs dks ikj djuk fdrus cts vkjaHk djsaxh ;fn os lekukarj iVjh ij nkSM+ jgh gks\(1) 09:00am (2) 09 : 20 am(3) 09:30am (4)09:50am

60. If a train is running fromDelhi at 8 amand reachedGaziabadat10am.WhileanothertrainisrunningfromGaziabadat8amandreachedDelhiat11am.Atwhattimewilltheystarttocrossiftheyarerunningparalleltracks?

,d jsyxkM+h fnYyh ls izkr% 8 cts pydj xkft;kckn 10 cts igqaprh gSA tcfd] nwljh jsyxkM+h xkft;kckn ls 8 cts py dj fnYyh 11 cts igqaprh gSA crkb;s nksuksa jsyxkfM+;ka ,d nwljs dks ikj djuk fdrus cts vkjaHk djsaxh ;fn os lekukarj iVjh ij nkSM+ jgh gks\(1) 10:00am (2) 09 : 00 am(3) 09:30am (4)09:12am

61. If a train is running fromDelhi at 8 amand reachedGaziabadat11am.WhileanothertrainisrunningfromGaziabadat9amandreachedDelhiat2pm.Atwhattimewilltheystarttocrossiftheyarerunningparalleltracks?

,d jsyxkM+h fnYyh ls izkr% 8 cts pydj xkft;kckn 11 cts igqaprh gSA tcfd] nwljh jsyxkM+h xkft;kckn ls 9 cts py dj fnYyh nksigj 2 cts igqaprh gSA crkb;s nksuksa jsyxkfM+;ka ,d nwljs dks ikj djuk fdrus cts vkjaHk djsaxh ;fn os lekukarj iVjh ij nkSM+ jgh gks\(1) 10:00am (2) 10 : 15 am(3) 10:30am (4)10:12am

62. Amonkeyclimbson45mhighgreasedpole. Infirstminuteheclimbs5meterand2ndminuteshecomesdownby1meter.Ifheclimbsinsuchamannerinwhattime

willhecomestotheheightofpole.

,d canj 45 ehVj Å¡ps xzhl yxs gq, [kEHks ij p<+us dk iz;kl djrk gSA igyh feuV esa ;g 5 ehVj p<+ tkrk gSA tcfd nwljh feuV esa ;g 1 ehVj fiQly tkrk gSA ;fn og blh izdkj p<+us dk iz;kl djs rks crkb;s og blds Åij fdrus le; esa igqap tk,xkA(1) 25min (2) 50min(3) 30min (4) 21min.

63. Amonkeyclimbs57meterhighgreasedpolein1st minute heclimbs10meterandinthesecondminuteshecomesdownby2meterinwhattimewillhecomestotheheightofthepole

,d canj 57 ehVj Å¡ps xzhl yxs gq,s [kEHks ij p<+us dk iz;kl djrk gSA igyh feuV esa ;g 10 ehVj p<+ tkrk gSA tcfd nwljh feuV esa ;g 2 ehVj fiQly tkrk gSA ;fn ;g blh izdkj ;g bl [kEHks ij p<+us dk iz;kl djs rks crkb;s fdrus le; esa gqap tk;sxkA (1) 15min.,54sec. (2) 12min.,54sec.(3) 12min. (4) 15min.

64. Twogoodstrainsstartedfromstation'X'atsametimetowardsstation'Y'atthespeedof4km/hrand3km/hrrespectively.Whenthefirsttrainreachedatstation'Y'itimmediatelystartedtowardsstation'X'.Findthedistancefrom station 'X'where both trainmet if the distancebetweentwostationis21kmandtheyarerunningon

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181. Atrainismovingwithaspeedof54km/h.Itsspeedis (1) 25 m/s ( 2 ) 3 0

m/s (3) 15 m/s (4) 10 m/s2. A train is moving with a speed of 20 m/s. Its speed

is (1) 54 km/h (2)108 km/h (3) 72 km/h (4) 90 km/h

3. A train travels at 60 km/hr. How many meters will it travel in 18 seconds ?

(1) 300 m (2) 200 m (3) 250 m (4) 350 m

4. A train runs 300 metres race in 36 seconds. His speed is


5. A man riding his bicycle covers 300 metres in 20 seconds. What is his speed in km/hr?


6. In what time can Train cover a distance of 200 m, if she runs at a speed of 36 km/hr?

(1) 20 s. (2) 24 s. (3) 25 s. (4) 30 s.

7. A 75 m long train is running at 54 km/hr. In how much time will it cross an electric pole ?

(1) 10 s (2) 5 s (3) 15 s (4) 20 s

8. A 415 m long train is running at 63 km/hr. In how much time will it cross a tunnel 285 m long?

(1) 25 s (2) 40 s (3) 50 s (4) 30 s

9. A 400 m long train cross a 200 m long platform in 30 second, the train speed is:


10. A train passes a standing man in 10 seconds and a platform 120 m long in a 16 seconds. Find the train speed.


LeVeL - 1

11. A train passes a platform 100 m long in 10 seconds and a platform 400 m long in a 25 seconds. Find the train length.

(1) 60 m (2) 90 m (3) 120 m (4) 100 m

12. A train 125 m long is running at 50 km/hr. In what time will it pass a man, running at 5 km/hr in the same direction in which the train is going ?(in seconds)

(1) 20 Sec (2) 10 Sec (3) 12 Sec (4) 15 Sec

13. A train 125 m long is running at 50 km/hr. In what time will it pass a 175m long train running at 40 km/hr in same direction in which train is going ? (in seconds)

(1) 120 Sec (2) 108 Sec (3) 112 Sec (4) 115 Sec

14. A train 100 m long takes 9 seconds to cross a man walking at 5 km/hr in the direction same to that of the train. Find the speed of the train.


15. A train 200 m long takes 36 seconds to cross a 100 m long train running at 50 km/hr in the direction same to that of the train. Find speed of the train.


16. A train 200 m long is running at 66 km/hr. In what time will it pass a man, running at 6 km/hr in the opposite direction in which the train is going ? (in seconds)

(1) 20 Sec (2) 10 Sec (3) 12 Sec (4) 15 Sec

17. A train 150 m long is running at 44 km/hr. In what time will it pass a 100 m long train running at 46 km/hr in opposite direction in which train is crossing ?(in seconds)

(1) 20 Sec (2) 10 Sec (3) 25 Sec (4) 15 Sec

18. A train 300 m long takes 9 seconds to cross a man walking at 10 km/hr in the direction opposite to that of the train. Find the speed of the train.

(1) 100 km/hr (2) 120 km/hr

trains

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(3) 140 km/hr (4) 110 km/hr

19. A train 300 m long takes 18 seconds to cross a 200 m long train running at 45 km/hr in the direction opposite to that of the train. Find speed of the train.


20. A train overtakes two person who are walking in the same direction in which the train is going, at the rate of 2 km/h and 4 km/h and passes them completely in 36 and 45 seconds respectively. The speed of train is :

(1) 10 km/h (2) 50 km/h (3) 54 km/h (4) 12km/h

21. A train overtakes two person who are walking in the same direction in which the train is going, at the rate of 2 km/h and 4 km/h and passes them completely in 9 and 10 seconds respectively. The length of train is :

(1) 45 m ((2) 50 m ((3) 54 m (4) 72 m (5) None

22. Two trains running in opposite directions cross a man standing on the platform in 27 seconds and 17 seconds respectively and they cross each other in 23 seconds. The ratio of their speeds is:

(1) 1 : 3 (2) 3 : 2 ((3) 3 : 4 (4) 2 : 1 (5) None

23. Two trains running in opposite directions cross a man standing on the platform in 35 second and 20 second respectively and they cross each other in 30 seconds. The ratio of their speeds is:

(1) 1 : 3 (2) 3 : 2 ((3) 3 : 4 (4) 2 : 1 (5) None

24. Two trains, A and B start from stations X and Y towards Y and X respectively. After passing each other, they take 9 hours and 4 hours to reach Y and X respectively. If train A is moving at 50 km/hr, then the speed of the train B is

(1) 60 km/h (2) 64 km/h (3) 54 km/h (4) 75 km/h

25. Two trains, A and B start from stations X and Y towards Y and X respectively. After passing each other, they take 4 hours 48 minutes and 3 hours 20 minutes to reach Y and X respectively. If train A is moving at 45 km/hr, then the speed of the

train B is (1) 60 km/h (2) 64.8 km/h

(3) 4 km/h (4) 7.5 km/h

26. Train ‘A’ leaves Mumbai Central for Lucknow at 11 am, running at the speed of 60 km/h. Train ‘B’ leaves Mumbai Central for Lucknow by the same route at 2 pm on the same day, running at the speed of 72 km/h. At what time will the two trains meet each other ?

(1) 8 2 am on the next day (2) 5 am on the next day (3) 5 pm on the next day (4) 2 pm on the next day

27. A 300 meter long train crosses a platform in 39 seconds while it crosses a signal pole in 18 seconds. What is the length of the platform ?

(1) 320 meters (2) 650 meters (3) 350 meters (4) none

28. A 260 meter long train crosses a 120 meter long wall in 19 seconds. What is the speed of the train?

(1) 27 km/h (2) 49 km/h (3) 72 km/h (4) 70 km/h

29. A 270-metre long train running at the speed of 120 km/h crosses another train running in opposite direction at the speed 80 km/h in 9 sec. What is the length of other train ?

(1) 240 meter (2) 320 meter (3) 260 meter (4) 230 meter

30. A train does a journey without stoppage in 8 hours, if it had traveled 5 km/h faster, it would have done the journey in 6 hours 40 minutes. Find its original speed.

(1) 25 km/h (2) 40 km/h (3) 45 km/h (4) 36.5 km/h

answer key1. (3) 2. (3) 3. (1) 4. (3) 5. (4)6. (1) 7. (2) 8. (2) 9. (3) 10. (3)11. (4) 12. (2) 13. (2) 14. (2) 15. (2)16. (2) 17. (2) 18. (4) 19. (4) 20. (4)21. (2) 22. (2) 23. (4) 24. (4) 25. (3)26. (2) 27. (3) 28. (3) 29. (4) 30. (1)

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trains LeVeL-2

1. A train moving with the speed of 180 km/hr. its speed (in metres per second) is

(1) 5 (2) 40 (3) 30 (4) 50 (5) None of these

2. A train passé two bridges of lengths 800 m and 400 m in 100 seconds and 60 seconds respectively. The length of the train is-

(1) 80 m (2) 90 m (3) 200 m (4) 150 (5) None of these

3. A train running at if its normal speed reached a place in 22 hours. How much time could be saved it the train had run at its normal speed?


4. A train150 m long. takes 30 seconds to cross a bridge 500 m long. How much time will the train take to cross a platform 20 m long?

(1) 36 se c (2) 30 sec (3) 24 sec (4) 18 sec (5) None of these

5. If a train, with a speed of 60 km/hr, crossed a pole in 30 second, the length of the train (in metres) is

(1) 1000 (2) 900 (3) 750 (4) 500 (5) None of these

6. A 120 meter long train is running at a speed of 90 km per hour. It will cross a railway platform 230 m long in

(1) 4 sec (2) 9 sec (3) 7 sec (4) 14 sec (5) None of these

7. Two trains are moving in the same direction at 50 km/hr and 30 km/hr. The faster train crossed a man who is sitting in the slower train in 18 seconds. Find the length of the faster

(1) 80 m (2) 90 m (3) 100m (4) Can’t be determined (5) None of these

8. A train running at 25 km/hr takes 18 sec. to pass a platform. Next it takes 12 seconds to pass a man walking a t5 km/hr in the opposite direction. Find the sum of the length of the train and that of the platform.

(1) 125 m (2) 135 m (3) 145 m

(4) 155 m (5) None of these

9. Two trains star at the same time from Hyderabad and Delhi and proceed toward each other at the rate of 80 km/hr and 95 km per hour respectively. When they meet, it is found that one train has travelled 180 km more than the other. Find the distance between Delhi and Hyderabad.

(1) 1800 km (2) 2000 km (3) 2100 km (4) 2300 km (5) None of these

10. Two trains for Delhi leave Jaipur at 8.30 a.m. and 9.00 am and travel at 50 and 75 km.hr respectively. How many km. away from Jaipur will the two trains meet it they meet at 1 pm.?


11. Without stoppage a train travels at an average speed of 75 km per hours and with stoppages it covers the same distance at an average speed of 60 km/hr. How many minutes per hour does the train stop?

(1) 10 min (2) 12 min (3) 13 min (4) 14 min (5) None of these

12. A train passed by a man standing on the platform in 7 sec. and passed by the platform completely in 28 sec. If the length of the platform is 220 metres, What is the length of the train?

(1) 110 m (2) 120m (c ) 125 m (4) 130 m (5) None of these

13. Two stations A and B are 110 km apart on a straight line. One train starts from A at 8 a.m. and travels towards B at 40 km per hour. Another train starts from B at 10 am. And travels toward A at 50 km per hour. At what time will they meet?

(1) 8.30 am (2) 8.30 pm. (3) 10.20 am (4) 10.20 pm (5) None of these

14. Two trains of length 100 m and 80 m respectively run on parallel lines of rails. When running in the same direction the faster train passed the slower one in 18 sec. but when they are running in opposite directions with the same speed as earlier, they pass each other in 9 sec. Find the speed of

147


each train. (1) 5 m/s, 15 m/s (2) 10 m/s, 25 m/s (3) 15 m/s, 20 m/s (4) Can’t be determined (5) None of these

15. A train passed two persons who are walking in the opposite direction in which the train is moving. At the rate of 5 m/s and 10 m/s in 6 sec. and 5 sec. respectively. Find the length of the train.

(1) 125 m (2) 150 m (3) 160 m (4) 170m (5) None of these

16. A goods train and a passenger train are running on parallel tracks in the same direction. The driver of the goods train observes that the passenger train coming from behind overtakes and across his train completely in 60 sec. Whereas a passenger on the passenger train marks that he crossed the goods train in 40 sec. If the speed of the trains be in the ratio of 1 : 2, find the ratio of their lengths.

(1) 1 : 2 (2) 2 : 1 (3) 3 : 2 (4) 2 : 3 (5) None of these

17. A train after travelling 50 km. meets with an accident and then proceeds at ¾ of its former speed and arrives at its destination 35 minutes late. Had the accident occureed 24 km further, it would have reached the destination only 15 minutes late. The normal speed of the train is

(1) 356 km/hr. (2) 38 km/hr. (3) 46 km/hr (4) 24 km/hr. (5) None of these

18. A train covers a distance between stations A and B in 45 minutes. If the speed is reduced by 5 km. hr, it will cover the same distance in 48 min. What is the distance between the two stations A and B (in km)? also, find the speed of the train.

(1) 60 km, 80 km/hr. (2) 65 km, 70 km/hr. (3) 60 km, 70 km/hr. (4) Can’t be determined (5) None of these

19. Two places P and Q are 162 km apart. A train leaves P for Q and at the same time another train leaves Q for P, Both the trains meet 6 hrs after they start moving. If the train travelling from P to Q travels 8 km/hr faster than the other train, find the speed of the two trains.

(1) 17.5 km/hr, 9.5 km/hr (2) 19.5 km/hr, 11.5 km/hr (3) 21.5 km/hr, 13.5 km/hr

(4) Can’t be determined (5) None of these

20. The speeds of two trains are in the ratio 3 : 4 they are going in opposite directions along parallel tracks. If each takes 3 seconds to cross a telegraph post, find the time taken by the trains to cross each other completely?

(1) 1 sec (2) 3 sec (3) 5 sec (4) 7 sec (5) None of these

21. The speed of two trains are in the ratio X : y. They are moving in the opposite directions on Parallel tracks The first train crossed a telegraph pole in ‘a ‘ seconds where as the second train crossed the same telegraph pole in ‘b’ second. Find the time taken by the trains to cross each other completely.

(1) 1.5 sec (2) 2 sec (3) (4) Can’t be determined (5) None of these

22. The speeds of two trains are in the ratio of 7 : 9. They are moving in the opposite directions on parallel tracks. The first train crossed a telegraph pole in 4 sec. Whereas the second train crossed the same pole in 6 sec. Find the time taken by the trains to cross each other completely.

(1) 2 sec (2) 3 sec (3) 4 sec (4) 5 sec

23. A train 150 m long passed a pole in 15 sec. and another train of the same length travelling in the opposite direction crosses each other in 12 sec. The speed of the second train is

(1) 45 km/hr (2) 48 km/hr

(3) 52km/hr (4) 54 km/hr (5) None of these

24. A train travelling at 48 km/hr crosses another train, having half its length and travelling in opposite direction at 42 km/hr in 12 sec. It also passed a railway platform in 45 sec. the length of the rail platform is

(1) 200m (2) 300m (3) 350 m (4) 400 m (5) None of these

25. Tow trains traveling the same direction at the speeds of 56 km/hr and 29 km/hr respectively. The faster train passed a man in the slower train in 10 sec. the length of the faster train (in meters)

148


is (1) 100 (2) 80 (3) 75 (4) 120 (5) None of these

26. A train starts from A at 7 am. Towards B with speed 50 km/hr. another train form B starts at 8 am. With speed 60 form B starts at 8 am. With speed 60 km/hr towards A. Both of them meet at 10 am. At C. The ratio of the distance AC to BC is

(1) 5 ; 6 (2) 5 ; 4 (3) 6 : 5 (4) 4 ; 5 (5) None of these

27. A train is traveling at a rate of 45 km/hr. How many seconds It will take to cover a distance of 4/5 km?

(1) 5 ; 6 (2) 5 ; 4 (3) 6 ; 5 (4) 4 ; 5 (5) none of these

28. A train 100 m ling is running at a speed of 30 km/hr. The time (in second) in which it will pass a man standing near the railway line is

(1) 36 (2) 64 (3) 90 (4) 120 (5) None of these

29. A train running at the speed of 72 kmph crosses a 260 meters long platform in 23 sec. What is the length of the train in meters

(1) 200 (2) 240 (3) 220 (4) 160 (5) None of these

30. A 275 meter long train crosses a platform of equal length in 33 sec. What is the speed of the train in kmph?

(1) 66 (2) 60 (3) 64 (4) 72 (5) None of these

31. A 160 meter long train running at a speed of 90 kmph crosses a platform in 18 sec. What is the length of the platform in meters?

(1) 210 (2) 240 (3) 290 (4) 310

32. A 240 meters long train crosses a 300 meter long platform in27 sec. What is the speed of the train in kmph?

(1) 66 (2) 60 (3) 76 (4) 64 (5) None of these

33. A train running at a speed of 60 kmph crosses a platform double its length in 32.4 sec. What is the length of the platform?

(1) 180 meters (2) 240 (3) 360 meters (4) 90 meters

(5) Cannot be determined

34. A train running at the speed of 66 kmph crosses a signal pole in 18 seconds. What is the length of the train?

(1) 330 meters (2) 300 Meters (3) 360 meters (4) 320 meters (5) None of these

35. A train 75 meters long overtook a person who was walking at the rate of 6 km an hour, and passed him in 7½ sec. Subsequently it overtook a second

person, and passed him in 6 sec. At what rate was the sec. person travelling?

(1) 1 km/hr (2) 2 km/hr (3) 3 km/hr (4) 4 km/hr (5) None of these

36. Tow trains measuring 100 and 80 m respectively, run on parallel lines of rails. When travelling in opposite directions they are observed to pass each other in 9 sec. but when they are running in the same direction at the same rates as before, the faster train passed the other in 18 sec. Find the speed of the two trains in km per hour.

(1)12 km/hr, 5 km. hr (2) 14 km/hr, 18 km. hr (3) 16 km/hr, 54 km. hr (4) 18 km/hr, 54 km. hr (5) None of these

37. A train takes 5 sec. to pass an electric pole. If the length of the train is 120 meters, the time taken by it to cross a railway platform 180 long is (in seconds)-

(1) 10.5 sec (2) 12.5 sec (3) 14.5 sec (4) Can’t be determined (5) None of these

38. Two trains running in the same direction at 40 kmph and 22 kmph completely pass one another in 1 minutes. If the length of the first train is 125 meters, the length of the second train is

(1) 125 m (2) 150m (3) 175 m (4) Can’t be determined (5) None of these

39. A train 100 meters long moving at a speed of 50 kmph crossed a train 120 meters long coming from opposite direction in 6 sec. The speed of the second train is

(1) 83 km/hr (2) 84 km/hr (3) 86 km/hr (4) Can’t be determined (5) None of these

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40. Two station A and B are 110 km apart on a straight line. One train starts form A at 7 am. And travels towards B at 20 km/hours speed. Another train starts from B at 8 am. And travels towards A at a speed of 25 km per hour. At what time will they meet?

(1) 10 am (2) 11 am (3) 10 pm (4) 11 pm (5) None of these

41. A train overtakes two persons who are walking in the same directions in which the train is going. At the rate of 2 kmph and 4 kmph respectively and passed them completely in 9 and 10 seconds respectively. The length of the train is

(1) 50 m (2) 60 m (3) 65 m (4) 70 m (5) None of these

42. A train travels at the speed of 65 kms/ hr and halts at 8 junctions for a certain time. It covers a distance of 1300 kms in 1 day (24 hours). How long does the train stop at each function, if it halts for the same period of time at all the junctions?

(1) 30 min (2) 20 min (3) 60 min (4) 40 min (5) None of these

43. A train running at the speed of 90 kmph crosses a 250 meters long platform in 22 sec. What is the length of the train?

(1) 280 meters (2) 260 meters (3) 250 meters (4) 300 meters (5) None of these

44. How many seconds will a train 60 m in length, travelling at the rate of 42 km an hour, take to pass another train 84 m long, proceeding in the same direction at the rate of 30 km an hour?

(1) 41.2 sec (2) 43.2 sec (3) 42.3 sec (4) 42.5 sec (5) None of these

45. Train a crosses another train B in 30 sec. The length of train B is 140% of the length of train A. The speed of train A is 72 kmph. What is the difference between the lengths of the two trains?

(1) 140 meters (2) 80 meters (3) 70 meters (4) 115 meters (5) None of these

46. A train crosses a 300 meter long platform in 38 seconds while it crosses a signal pole in 18 seconds What is the speed of the train in kmph?

(1) Cannot be determined (2) 72 (3) 48 (4) 54 (5) None of these

47. A 570 meter long train crosses a platform of equal length in 15 sec. What is the speed of the train in meters/second?

(1) 38 (2) 54 (3)76 (4) Cannot be determined (5) None of these

48. A train is running at the rate of 40 kmph. A man is also going in the same direction parallel to the train at the speed of 25 kmph. If the train cross the man in 48 seconds the length of the train is

(1) 150 m (2) 175 m (3) 200 m (4) cannot be determined (5) None of these

49. A 240 meter long train takes 40 seconds longer to cross a platform twice its length than the time it takes to cross a pole at the same speed What is the speed of the train?

(1) 6 meter/sec (2) 24 meters/sec (3) 48 meter/sec (4) 12 meters/ sec (5) None of these

50. A 180 meter long train crosses another 270 meter long train running in the opposite direction in 10.8 sec. If the speed of the first train is 60 kmph what is the speed if the second train in kmph?

(1) 80 (2) 90 (3) 150 (4) Cannot be determined (5) None of these

51. A 275 meter long train crosses a platform of equal length in 33 seconds What is the speed of the train in kmph?

(1) 66 (2) 60 (3) 64 (4) 72 (5) None of these

52. Two trains of equal length take 10 sec and 15 sec. respectively to cross a telegraph post. If the length of each train be 120 meter, in what time (in second) will they cross each other travelling in opposite direction?

(1) 16 (2) 15 (3) 12 (4) 10 (5) None of these

53. The distance between two stations, Delhi and Amritsar, is 450 km, A train starts at 4 pm. Form Delhi and moves towards Amritsar at an average speed of 60 km/hr. Another train starts from Amritsar at 3.20 pm. And moves towards Delhi at an average speed of 80 km/hr. at what time will the both trains meet?

(1) 5. 30 pm. (2) 5. 50 am (3) 6.50 pm.

150


(4) 6.30 am (5) None of these

54. A train travelling 25 km an hour leaves Delhi at 9 am and another train travelling 35 km an hour starts at 2 pm. In the same direction. How many kms from Delhi will they be together?

(1) 437½ km (2) 437 km (3) 348½ km (4) 348 km (5) None of these

55. A carriage driving in a fog passed a man who was walking at the rate of 3 kms an hour in the same direction. He could see the carriage for 4 min. and it was visible to him upto a distance of 100 m. What was the speed of the carriage?

(1) 4½ km/hr. (2) 6½ km/hr.

(3) 4 km/hr. (4) 6 km/hr (5) None of these

56. A train leavers Patna at 5 am. And reaches Varanasi at 9 am. Another train leaves Varanasi at 6.30 am. And reaches. Patna at 10 am. At what time do the two trains meet?

(1) 7.40 am. (2) 7.40 am (3) 8.30 am (4) 8.30 pm (5) None of these

57. A train was late by 6 min. The driver increased its speed by 4km/ hr. at the next station, 36 km away, the train reached on time. Find the original speed of the train.


58. A train 150 meter long, passes a pole in 15 seconds and another train of the same length travelling in the opposite direction in 12 sec. The speed of the second train is


59. Two trains start at the same time from two stations and proceed towards each other at the rates of 20km/hr. and 25 km/hr respectively. When they meet, it is found that one train has travelled 80 km more than the other, Find the distance between the two stations.


60. Supposing that telegraph poles on a railway track are 50 meters apart, how many poles will

be passed by a train in 4 hours it the speed of the trains is 45 km an hour?

(1) 3201 poles (2) 3401 poles (3) 3601 poles (4) can’t be determined (5) None of these

answer key1. (4) 2. (3) 3. (3) 4. (3) 5. (4)6. (4) 7. (3) 8. (1) 9. (3) 10. (2)11. (2) 12. (1) 13. (3) 14. (1) 15. (2)16. (3) 17. (4) 18. (1) 19. (1) 20. (2)21. (3) 22. (4) 23. (4) 24. (4) 25. (3)26. (2) 27. (2) 28. (3) 29. (1) 30. (2)31. (3) 32. (5) 33. (1) 34. (1) 35. (2)36. (4) 37. (2) 38. (3) 39. (1) 40. (1)41. (1) 42. (1) 43. (4) 44. (2) 45. (5)46. (4) 47. (3) 48. (3) 49. (4) 50. (2)51. (2) 52. (3) 53. (3) 54. (1) 55. (1)56. (1) 57. (4) 58. (4) 59. (1) 60. (3)

151


191. A man can row upstream at 6 km/hr and

downstream at 10 km/hr. find man’s rate in still water .

(1) 10 (2) 6 (3) 5 (4) 8

2. A man can row upstream at 8 km/hr and downstream at 12 km/hr. find the rate of the current .

(1) 4 (2) 6 (3) 2 (4) 3

3. A man rows 30 km downstream and 15 km up stream, taking 5 hours each time. What is velocity of the current ?

(1) 4 (2) 1.5 (3) 2 (4) 3

4. A boat takes half time in moving a certain distance downstream than upstream. What is ratio between rate in still water and rate of current ?

(1) 1:2 (2) 3:1 (3) 2:1 (4) 1:3

5. the current of a stream runs at 2 km/hr. A boat takes half time in moving a certain distance downstream than upstream. What is speed boat in still water is :

(1) 8 (2) 6 (3) 2 (4) 4

6. the current of a stream runs at 4 km/hr. A boat takes three time in moving a certain distance upstream than downstream. What is the speed of the boat in still water is :

(1) 8 (2) 6 (3) 5 (4) 4

7. The speed of boat is 12 km/hr. A boat takes three time in moving a certain distance upstream than downstream. What is the speed of stream?

(1) 8 (2) 6 (3) 5 (4) 4

8. The speed of boat is 15 km/hr. A boat takes double time in moving a certain distance upstream than downstream. What is the speed of stream ?

(1) 8 (2) 6 (3) 5 (4) 4

9. The current of a stream runs at 1 km/hr. A boat goes 35 km upstream and back again to the starting point in 12 hour. The speed of the boat in still water is :

LeVeL - 1

(1) 8 (2) 4 (3) 2 (4) 6

10. the current of a stream runs at 2 km/hr. A boat goes 60 km upstream and back again to the starting point in 16 hour. The speed of the boat in still water is :

(1) 12 (2) 6 (3) 8 (4) 4

11. A boat goes 24 km upstream and 35 km downstream in 9 hour. It was goes 30 km upstream and 21 km downstream in 8 hour. The speed of the boat in still water is:

(1) 8 (2) 6 (3) 12 (4) 6.5

12. A boat goes 30 km upstream and 44 km downstream in 10 hour. It was goes 40 km upstream and 55 km downstream in 13 hour. The speed of the boat in still water is:

(1) 8 (2) 6 (3) 12 (4) 6.5

13. A boat running downstream covers a distance of 10 km in 2 hours. While coming back upstream the boat takes 5 hours to cover the same distance. If the speed of the current is 1.5 km/h, what is the speed of the boat in still water ?

(1) 2.5 km/hr (2) 3.5 km/hr (3) 4.5 km/hr (4) None

14. A boat is rowed downstream at 15.5 km/hr and upstream at 8.5 km/hr. The speed of the stream is :

(1) 3.5 km/h (2) 5.75 km/hr (3) 6.5 km/h (4) 7 km/h

15. A boat covers a distance of 30 km in 2½ hrs running downstream. While returning, it covers the same distance in 3¾ hrs. What is the speed of the boat in still water ?

(1) 8 km/h (2) 12 km/h (3) 14 km/h (4) 10 km/h

16. The speed of a boat in still water is 15 km/hr. It can go 30 km upstream and return downstream to the original point in 4 hrs 30 min. The speed of stream is :

(1) 5 km/hr (2) 8 km/hr

Boat & Streams

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(3) 10 km/h (4) 15 km/h

17. A boatman goes 2 km against the current of stream in 1 hour and goes 1 km along the current in 10 minutes. How long will he take to go 5 km in stationary water ?

(1) 40 min ( 2 ) 1 hour

(3) 1 hr 15 min (4) 1 hr 30 min

18. The current of a streams runs at rate of 4 km an hour. A boat goes 6 km and comes back to the starting point in 2 hours. The speed of the boat in still water is :

(1) 6 km/h (2) 8 km/h (3) 7.5 km/h (4) 6.8 km/h

19. The speed of a boat along the stream is 12 km/hr and against the stream is 8 km/hr. The time taken by the boat to sail 24 km in still water is

(1) 2 hrs (2) 3 hrs (3) 2.4 hrs (4) 1.2 hrs

20. A boat covers 12 km upstream and 18 km downstream in 3 hours, while it covers 36 km upstream and 24 km downstream in 6 hrs 30 min. What is speed of the current ?

(1) 1.5 km/h (2) 1 km/h (3) 2 km/h (4) 2.5 km/h

21. Speed of a boat is 5 km per hour in still water and the speed of the stream is 3 km per hour. If the boat take 3 hours to go to a place and come back, distance of place is :

(1) 3.75 km (2) 4 km (3) 4.8 km (4) 4.25 m

22. A man goes downstream with a boat to some destination and returns upstream to his original place in 5 hours. If the speed of the boat in still water and the stream are 10 km/hr and 4 km/hr respectively, distance of the destination from the starting place is

(1) 16 km (2) 18 km (3) 21 km (4) 25 km

23. The speed of a motor-boat is that of the current of water as 36 : 5. The boat goes along with the current in 5 hours 10 minutes. It will come back in

(1) 5 h 50 min (2) 6 h (3) 6 h 50 min (4) 12 h 10 min

24. A boy can swim in still water at a speed of 10 km/

hr. If the speed of the current would have been 5 km/h, then the boy could swim 60 km.

(1) upstream in 4 hrs (2) downstream in 12 hrs (3) upstream in 6 hrs (4) downstream in 4 hrs

25. A man swims downstream a distance of 15 km in 1 hour. If the speed of the current is 5 km/hour, the time taken by the man to swim the same distance upstream is

(1) 1 h 30 min (2) 45 min (3) 2 h 30 min (4) 3 h

26. A boat travels 24 km upstream in 6 hours and 20 km downstream in 4 hours. Then the speed of boat in still water and the speed of water current are respectively

((1) 4 km/h and 3 km/h (2) 4.5 km/h and 0.5 km/h (3) 4 km/h and 2 km/h (4) 5 km/h and 2 km/h

27. If a boat goes 100 km down-stream in 10 hours and 75 km upstream in 15 hours, then the speed of the stream is

(1) 2 km/h (2) 2.5 km/h (3) 3 km/h (4) 3.5 km/h

28. Speed of motorboat in still water is 45 km/h. If the motorboat travels 80 km along the stream in 1 hour 20 minutes, then the time taken by it to cover the same distance against the stream will be

(1) 3 hours (2) 1 hour 20 minutes (3) 2 hours 40 minutes (4) 2 hours 55 minutes

answer key1. (4) 2. (3) 3. (2) 4. (2) 5. (2)6. (4) 7. (2) 8. (3) 9. (4) 10. (3)11. (4) 12. (1) 13. (2) 14. (1) 15. (4) 16. (1) 17. (3) 18. (2) 19. (3) 20. (3)21. (3) 22. (3) 23. (3) 24. (4) 25 (4)26. (2) 27. (2) 28. (3)

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Boat & Streams LeVeL-2

1. Speedofaboatindownstreamis22½km/hrwhilespeedoftheboatinupstreamis12½km/hr.Findspeedofwaterandspeedoftheboatinstillwater?

,d uko dh pky /kjk dh fn'kk esa 22½ fdeh@?ka- dh rFkk bl uko dh pky /kjk ds foifjr fn'kk esa 12½fdeh@?ka- gSA crkb;s /kjk dh xfr rFkk 'kkUr ty esa uko dh pky D;k gS\(1) 5km/hr,17.5km/hr (2) 6 km/hr, 18km/hr(3) 8km/hr,18km/hr (4) 7.5km/hr,15km/hr

2. A boat takes 5 hrs to covers a distance of 30 km indownstream.While thedifferenceofdownstreamandupstreamis2km/hr.Findthetimetakenbytheboattocover40kmdistanceinupstream.

,d uko /kjk dh fn'kk esa 30 fdeh dh nwjh r; djus esa 5 ?kaVs dk le; ysrh gSA /kjk dh fn'kk vkSj /kjk ds foifjr fn'kk esa xfr dk vUrj 2 fdeh@?ka- gSA crkb;s bl uko dks /kjk ds foifjr 40 fdeh- nwjh r; djus esa fdruk le; yxsxk\(1) 18hrs. (2) 20hrs(3) 10hrs (4) 12hrs

3. Sumofspeedofdownstreamandupstreamis10km/hrandthedifferenceofdownstreamandupstreamis2km/hr.Whattimewillbetakenbytheboattocoveradistanceof30kmindownstreamand40kminupstream.

/kjk ds fn'kk rFkk /kjk ds foifjr fn'kk esa ,d uko dh pky dk ;ksxiQy 10 fdeh@?ka- gSA rFkk /kjk dh fn'kk rFkk /kjk dh foifjr fn'kk dh pky dk vUrj 2 fdeh@?ka- gSA crkb;s bl uko ds /kjk dh fn'kk esa 30 fdeh vkus rFkk /kjk ds foifjr fn'kk esa 40 fdeh- tkus esa fdruk le; yxkA(1) 12hrs. (2) 20hrs(3) 10hrs (4) 15hrs

4. Sumofspeedofdownstreamandupstreamis18km/hrandtheboattaketotal18hrtocoveradistanceof72kmindownstreamandcomesbackatthestartingpoint.Findspeedofwater?

/kjk dh fn'kk esa rFkk /kjk ds foifjr fn'kk esa uko dh pky dk ;ksxiQy 18 fdeh@?kaVk gSA bl uko dks /kjk dh fn'kk esa 72 fdeh tkus rFkk okfil izkjfEHkd fcUnq rd vkus esa dqy 18 ?kaVs dk le; yxkA /kjk dh xfr Kkr djsaA (1) 3km/hr (2) 2 km/hr(3) 4km/hr (4) 5km/hr

5. Speedofaboatinstillwateris10km/hr.Theboattakestotal20hrtocoveradistanceof91kminupstreamand

91kmindownstream.Findspeedofwater?

,d uko dh pky 'kkUr ty esa 10 fdeh@?ka- gS rFkk bl uko dks /kjk ds foifjr 91 fdeh- tkus rFkk /kjk dh fn'kk esa 91 fdeh- vkus esa dqy 20 ?kaVs dk le; yxrk gSA /kjk dh xfr Kkr djsaA(1) 2km/hr (2) 4km/hr(3) 5km/hr (4) 3km/hr

6. Aboat takes 17½min to cover a distance of 3.5 kmindownstreamwhiletheboat take7.5mintocoveradistanceof0.75kminupstream.Findspeedoftheboatinstillwater?

,d uko /kjk dh fn'kk esa 3-5 fdeh- dh nwjh r; djus esa 17½ feuV dk le; ysrh gSA tcfd] bl uko dks /kjk ds foifjr 0-75 fdeh dh nwjh r; djus esa 7-5 feuV dk le; yxrk gSA 'kkUr ty esa uko dh pky Kkr djsa\(1) 8km/hr (2) 6km/hr(3) 9km/hr (4) 5km/hr

7. Sumofspeedofaboatindownstreamandupstreamis12km/hrandspeedofwateris20%ofthespeedoftheboat in stillwater.Theboat takes total60minutes tocoveracertaindistanceindownstreamandcomesbackatthestartingpoint.Findthecertaindistance?

,d uko dh pky /kjk dh fn'kk rFkk /kjk ds foifjr fn'kk dk ;ksxiQy 12 fdeh@?ka- gSA tcfd] /kjk dh xfr 'kkUr ty esa uko dh pky dk 20» gSA bl uko dks /kjk dh fn'kk esa ,d fuf'pr nwjh r; djus rFkk okfil izkjfEHkd fcUnq rd vkus esa 60 feuV dk le; yxrk gSA ;g fuf'pr nwjh Kkr djsaA(1) 1.44 (2) 3.66(3) 2.88 (4) 4.44

8. Differenceofspeedofaboatindownstreamandupstreamis2km/hrandspeedoftheboatinstillwateris5km/hr.Theboattakestotal37.5minutestocoveracertaindistanceindownstreamandcomesbackatthestartingpoint.Findthecertaindistance.

/kjk dh fn'kk rFkk /kjk dh foifjr fn'kk dh xfr;ksa dk vUrj 2 fdeh- gS rFkk 'kkUr ty esa uko dh pky 5 fdeh@?ka- gSA bl uko dks /kjk dh fn'kk esa ,d fuf'pr nwjh r; djus rFkk okfil izkjfEHkd fcUnq rd vkus esa dqy 37-5 feuV yxrs gSaA ;g fuf'pr nwjh Kkr djsaA(1) 3km (2) 3.5km

154


(3) 4.5km (4) 6km

9. a boat takes 55 %moretimeinupstreamthan

thatofthedownstreamtocoveracertaindistance.Whiledifference between the speeds of downstream andupstreamis10km/hr.Speedoftheboatinstillwateris:

,d uko /kjk ds foifjr fdlh fuf'pr nwjh r; djus esa

/kjk dh fn'kk esa fy;s x;s le; ls 55 % vf/d

le; ysrh gSA tcfd] /kjk dh fn'kk rFkk /kjk ds foifjr fn'kk dh xfr dk vUrj 10 fdeh@?ka- gSA 'kkUr ty esa uko dh pky gS%(1) 33 (2) 99(3) 23 (4) 32

10. Aboattaketwicetimeinupstreamthenthetimetakenbyboattocoveracertaindistanceindownstream.Ifspeedofwateris3km/hrfindspeedoftheboatisstillwater?

,d uko /kjk ds foifjr fn'kk esa fdlh fuf'pr nwjh dks r; djus esa /kjk dh fn'kk eas fy;s x;s le; ls nwxuk le; ysrh gSA ;fn /kjk dk osx 3 fdeh@?ka- jgk gks rc 'kkUr ty esa uko dh pky Kkr djsa\(1) 6km/hr (2) 12km/hr(3) 4km/hr (4) 9km/hr

11. Aboattakestotal8hrtocoveradistanceof25kminupstreamandcomesback39kmindownstream.While,theboattakestotal10hrtocoversadistanceof30kminupstreamcomesback52kmindownstream.Findspeedoftheboatinstillwater?

,d uko /kjk ds foifjr fn'kk esa 25 fdeh- dh nwjh r; djus rFkk /kjk dh fn'kk esa 39 fdeh- vkus esa dqy 8 ?kaVs dk le; ysrh gSA tcfd] bl uko dks /kjk ds foifjr 30 fdeh- tkus rFkk /kjk dh fn'kk esa 52 fdeh- vkus esa dqy 10 ?kaVs dk le; yxrk gSA 'kkUr ty esa uko dh pky Kkr djsaA(1) 9km/hr (2) 10km/hr(3) 15km/hr (4) 12km/hr

12. Aboatcovers12kmupstreamand18kmdownstreamin3hr.Whiletheboatcovers36kmupstreamand24kmdownstreamin6½hrs.Speedofthecurrentis:

,d uko /kjk ds foifjr 12 fdeh tkus vkSj /kjk dh fn'kk esa 18 fdeh- vkus esa dqy 3 ?kaVs dk le; ysrh gSA tcfd bl uko dks /kjk ds foifjr 36 fdeh tkus rFkk /kjk dh

fn'kk esa 24 fdeh- vkus esa 6½?kaVs dk le; yxrk gSA /kjk dh xfr Kkr djsaA(1) 3km/hr (2) 2km/hr(3) 4km/hr (4) 6km/hr

13. Aboatcovers24kmupstreamand36kmdownstreamin6hr.Whiletheboatcovers36kmupstreamand24kmdownstreamin6½hrs.Speedoftheboatis:

,d uko /kjk ds foifjr 24 fdeh tkus vkSj /kjk dh fn'kk esa 36 fdeh- vkus esa dqy 6 ?kaVs dk le; ysrh gSA tcfd bl uko dks /kjk ds foifjr 36 fdeh tkus rFkk /kjk dh fn'kk esa 24 fdeh- vkus esa 6½?kaVs dk le; yxrk gSA uko dh xfr Kkr djsaA(1) 5km/hr (2) 6km/hr(3) 10km/hr (4) 12km/hr

14. Aboatcovers12kmupstreamand18kmdownstreamin3hr.Whiletheboatcovers20kmupstreamand24kmdownstreamin4½hrs.Speedoftheboatis:

,d uko /kjk ds foifjr 12 fdeh tkus vkSj /kjk dh fn'kk esa 18 fdeh- vkus esa dqy 3 ?kaVs dk le; ysrh gSA tcfd bl uko dks /kjk ds foifjr 20 fdeh tkus rFkk /kjk dh

fn'kk esa 24 fdeh- vkus esa 4½ ?kaVs dk le; yxrk gSA uko dh xfr 'kkUr ty esa Kkr djsaA(1) 10km/hr (2) 15km/hr(3) 20km/hr (4) 5km/hr

15. Aboatcovers30kmupstreamand44kmdownstreamin10hr.Whiletheboatcovers40kmupstreamand55kmdownstreamin13hrs.Speedoftheboatinstillwateris:

,d uko /kjk ds foifjr 30 fdeh tkus vkSj /kjk dh fn'kk esa 44 fdeh- vkus esa dqy 10 ?kaVs dk le; ysrh gSA tcfd bl uko dks /kjk ds foifjr 40 fdeh tkus rFkk /kjk dh fn'kk esa 55 fdeh- vkus esa 13?kaVs dk le; yxrk gSA uko dh xfr Kkr djsaA(1) 6km/hr (2) 12km/hr(3) 8km/hr (4) 15km/hr

16. Aboatcovers45kmupstreamand68kmdownstreamin9hrs.Whiletheboatcovers72kmupstreamand51kmdownstreamin11hrs.Speedoftheboatinstillwateris:

,d uko /kjk ds foifjr 45 fdeh tkus vkSj /kjk dh fn'kk esa 68 fdeh- vkus esa dqy 9 ?kaVs dk le; ysrh gSA tcfd bl uko dks /kjk ds foifjr 72 fdeh tkus rFkk /kjk dh fn'kk esa 51 fdeh- vkus esa 11 ?kaVs dk le; yxrk gSA uko dh xfr Kkr djsaA

155


201. Letter of the word DIRECTOR are arranged in

such a way that all the vowels come together. Find out the total no of ways of making such arrangement.

(1) 4320 (2) 2720 (3) 2160 (4) 1120 (5) 3730

2. Ho may different letter arrangement can be made from the letters of the word RECOVER?

(1) 1210 (2) 5040 (3) 1260 (4) 1200 (5) 1300

3. In how many different ways can the letters of word JUDGE be arranged so that the vowels always come together?

(1) 48 (2) 24 (3) 120 (4) 60 (5) 65

4. How many groups of 6 persons can be formed from 8 men and 7 women?

(1) 5000 (2) 5005 (3) 5050 (4) 4050 (5) None of these

5. There are 25 students in a class. Find the number of ways in which a committee of 3 students is to be formed.

(1) 2200 (2) 2300 (3) 2400 (4) 3200 (5) None of these

6. How many different signals can be made from 8 flags of different colours, taking 5 flags at a time?

(1) 6390 (2) 6720 (3) 6550 (4) None of these

7. In how many ways can 10 sprinters be arranged in a race so that the three rank-holders are always together?

(1) 8! x 3! (2) 8! x 5! (3) 10 : 3! (4) 10!

8. In a competition, a design is to be made by pasting 4 blue, 3 red and 5 of different colour stickers in a row. How many such designs are possible?

(1) 12! (2) (3) (4) None of these

9. In how many ways can 5 boys and 3 girls be seated

LeVeL - 1

in a row so that no two girls are together? (1) 6P5 X 6P3 (2) 6P5 X 6P5 (3) 6P5 X 6P6 (4) 6P3 X 5P5

10. In how many ways can 6 keys be arranged in a bunch?

(1) 120 (2) 60 (3) 90 (4) None of these

11. In how many ways can a cricket team of 11 players be formed from 16 players when 3 particular players are always chosen?

(1) 6435 (2) 1287 (3) 143 (4) None of these

12. From 3 identical pears, 4 oranges and 5 identical apples, in how many ways can the selection of fruits be made by taking (i) at least one of them, and (ii) at least one of each kind.

(1) 120, 20 (2) 119, 30 (3) 119, 60 (4) 120, 60

13. Twenty persons were invited to a party. In how many ways can they and the host be seated at a circular table so that two particular persons are seated on either side of the host?

(1) 2! x 17! (2) 18! (2) 2! x 18! (4) 17!

14. Ten different letters are given. Words with five letters are to be formed from these given letters. Find the number of words which have at least one letter repeated.

(1) 63760 (2) 69760 (3) 66970 (4) 67690

15. A photograph of 4 players is to be taken out of 11 players of a cricket team. How many different photographs can be taken if in each photograph the Captain & Vice-Captain

a. must be included b. are never included. (1) 864, 3024 (2) 3024, 864 (3) 4028, 1024 (4) 1024, 4028

16. From 5 different green balls, four different blue balls and three different red balls, how many combinations of balls can be chosen taking at least one green and one blue ball?

(1) 3270 (2) 3027 (3) 3720 (4) 3072

17. In how many ways can 5 professors and 5

Permutation and combination

156


engineers be seated at a round table so that they are positioned alternately?

(1) 14400 (2) 28800 (3) 2880 (4) 1440

18. How many different words can be made with the letters of the word MATHEMATICS so that the vowels occur together?

(1) (2) (3) (4)

19. How many triangles can be formed by joining 12 points, 7 of which are collinear?

(1) 220 (2) 35 (3) 10 (4) 185

20. A candidate is required to answer 6 out of 10 questions divided into 2 groups each containing 5 questions. He is not permitted to attempt more than 4 from each group. In how many ways can he make the choice?

(1) 150 (2) 50 (3) 100 (4) 200

21. There are four pens each of a different colour and four caps each of a different colour but, same as that of one of the pens. In how many ways can these caps be put on the pens so that a cap does not go to the pen of the same colour?

(1) 27 (2) 6 (3) 12 (4) None of these

22. In how many ways can a mixed doubles tennis match be arranged from 8 married couples if no husband and wife play in the same game?

(1) 330 (2) 462 (3) 840 (4) 780

23. In how many ways can 45 men be alloted to 3 different districts if the districts are to be covered by 10, 15 and 20 men respectively?

(1) 45 (2) 45! x 3! (3) 45! / 10! x 15! x 20! (4) 45! x 3! / 10! x 15! x 20!

24. In a party of 15, each person shakes his hand with every other person. What is the total number of handshakes?

(1) 170 (2) 126 (3) 110 (4) 105

25. There are 6 boxes numbered 1, 2, ..... 6, each box is to be filled up either with a red or a green ball in such a way that at least 1 box contains a green ball and the boxes containing green balls are numbered consecutively. The total number of

ways in which this can be done is (1) 5 (2) 21 (3) 33 (4) 60

answer key1. (3) 2. (3) 3. (1) 4. (2) 5. (2) 6. (2)7. (1) 8. (3) 9. (4) 10. (2) 11. (2) 12. (3)13. (3) 14. (2) 15. (1) 16. (3) 17. (3) 18. (3)19. (4) 20. (4) 21. (3) 22. (3) 23. (3) 24. (4)25. (2)

157


211. Twocoinsaretossed.Whatistheprobabilityofgetting

atmost2heads? (1)¼ (2)½ (3)1/3 ( 4 )

1/8 (5) None

2. Threeunbiasedcoinsaretossed.Whatistheprobabilityofgettingatleast2heads?

(1) ¼ (2) ½ (3) 1/3 (4) 1/8 (5) None

3. Three unbiased coins are tosses. What is the probability of getting at most two heads?

(1) ¾ (2) ¼ (3) 3/8 (4) 7/8 (5) None

4. In a simultaneous throw of a pair of dice, find the probability of getting a total more than 7 ?

(1) 5/12 (2) 6/13 (3) 7/15 (4) 6/19

5. Two dice are thrown together. What is the probability that the sum of eh numbers on the two faces is divisible by 4 or 6?

(1) 7/18 (2) 1/17 (3) 4/15 (4) 5/16

6. What is the probability of getting a sum 9 from two throws of a dice?

(1) 1/6 (2) 1/8 (3) 1/9 (4) 1/12

10. Tickets numbered 1 to 20 are mixed up and then a ticked is drawn at random. What is the probability that the ticket drawn has a number which is a multiple of 3 or 5?

(1) ½ (2) 2/5 (3) 8/15 (4) 9/20

11. Tickets numbered 1 to 30 are mixed up and then a ticked is drawn at random. What is the probability that the ticket drawn has a number which is a multiple of 2 or 3 ?

(1) ½ (2) 2/3 (3) 2/5 (4) 9/30

12. One card is drawn from a pack of 52 cards. What is the probability that the card drawn is either a red card or a king?

(1) ½ (2) 6/13 (3) 7/13 (4) 27/52

13. The probability that a card drawn from a pack of

LeVeL - 1

52 cards will be a diamond or a king? (1) 2/13 (2) 4/13 (3) 1/13 (4) 1/52

14. From a pack of 52 cards, two cards are drawn together at random. What is the probability of both the cards being kings?

(1) 1/15 (2) 25/57 (3) 35/256 (4) 1/221

15. Two cards are drawn together from a pack of 52 cards. The probability that one is a spade and one is a heart, is:

(1) 3/20 (2) 29/34 (3) 47/100 (4) 13/102

16. A bag contains 4 white, 5 red and 6 blue balls. Three balls are drawn at random from the bag. The probability that all of them are red is:

(1) 1/22 (2) 3/22 (3) 2/91 (4) 2/77

17. A bag contains 6 white and 4 red balls. Three balls are drawn at random. What is the probability that one ball is red and the other two are white?

(1) ½ (2) 1/12 (3) 3/10 (4) 7/12

18. A bag contains 2 red, 3 green and 2 blue balls. Two balls are drawn at random. What is the probability that none of the balls drawn is blue?

(1) 10/21 (2) 11/21 (3) 2/7 (4) 5/7

19. In a box, there are 8 red, 7 blue and 6 green balls. One ball is picked up randomly. What is probability that it is neither red nor green?

(1) 2/3 (2) ¾ (3) 7/19 (4) 8/21

20. A box contains 10 black and 10 white balls. The probability of drawing two balls of the same colour, is:

(1) 9/19 (2) 9/38 (3) 10/19 (4) 5/19

21. A box contains 4 red balls, 5 green balls 6 white balls. A ball is drawn at random from the box. What is the probability that the ball drawn is either red or green?

(1) 2/5 (2) 3/5 (3) 1/5 (4) 7/15 (5) None

22. In a class, there are 15 boys and 10 girls. Three students are selected at random. The probability

Probability

158


that 1 girl and 2 boys are selected, is: (1) 21/46 (2) 25/117 (3) 1/50 (4) 3/25

23. Four persons are chosen at random from a group of 3 men, 2 women and 4 children. The chance that exactly 2 of them are children is:

(1) 1/9 (2) 1/5 (3) 1/12 (4) 10/21 (5) None

24. A box contains 20 electric bulbs, out of which 4 are defective. Two bulbs are chosen at random from this box. The probability that at least one of these is defective, is:

(1) 4/19 (2) 7/19 (3) 12/19 (4) 21/95

25. In a class, 30% of the students offered English, 20% offered Hindi and 10% offered both. If a student is selected at random, what is the probability that he has offered English or Hindi?

(1) 2/5 (2) ¾ (3) 3/5 (4) 3/10

26. A man and his wife appear in an interview for two vacancies in the same post. The probability of husband’s selection is (1/7) and the probability of wife’s selection is (1/(5). What is the probability that only one of them is selected?

(1) 4/5 (2) 2/7 (3) 8/15 (4) 4/7

27. A speaks truth in 75% cases and B in 80% of he cases. In what percentage of cases are they likely to contradict each other, narrating the same incident?

(1) 5% (2) 15% (3) 35% (4) 45%

answer key1. (1) 2. (1) 3. (4) 4. (1) 5. (1)6. (3) 7. (4) 8. (2) 9. (2) 10. (4)11. (2) 12. (3) 13. (2) 14. (4) 15. (4)16. (3) 17. (1) 18. (1) 19. (4) 20. (1)21. (2) 22. (1) 23. (5) 24. (2) 25. (1)26. (2) 27. (3)

159


221. The area of a rectangle with length twice of

breadth is 578 sq meters. What is the length of that rectangle?

(1) 34 m (2) 42 m (3) 38 m (4) 29 m

2. The length of a rectangle, which is 25 cm is equal to the length of a square and the area of the rectangle is 125 cm less than the area of the square. What is the breadth of the rectangle?

(1) 15 cm (2) 20 cm (3) 12 cm (4) 12 cm

3. The sides of a rectangular field of 726 sq m are in the ratio of 3: 2. Find the sides.

(1) 33 m, 22 m (2) 25 m, 30 m (3) 28, 32 m (4) 36 m, 40 m

4. A rectangular path 100 meters long and 80 meter wide has a travel path of 8 meters in it running around it from inside. Find the area of path.

(1) 2624 m2 (2) 2644 m2 (3) 2602 m2 (4) None of these

5. A rectangular grass plot is 112 m by 78 m. It has a gravel path 2.5 m wide all round it on the inside. Find the area of the path and the cost of constructing it at ‘ 2 per square meter?

(1) 925 cm2, ‘ 1650 (2) 925 cm2, ‘ 1850 (3) 1025 cm2 ‘ 2050 (4) 1080 cm2, ‘ 2160

6. The ratio between the length and breadth of a rectangular field is 5:4. If the breadth is 20 meters less than length, the perimeter of field is

(1) 260 m 2) 280 m 3) 360 m (4) None

7. Find the area of a square one of whose side is 35 m long.

(1) 1235 m2 (2) 1225 m2 (3) 1365 m2 (4) None

8. Find the area of a square one of whose side is 2.4 m long.

(1) 1.23 m2 (2) 2.88 m2 (3) 2.36 m2 (4) None

9. The diagonals of two squares are in the ratio 5:2. Find the ratio of their areas.

LeVeL - 1Mensuration

(1) 25:4 (2) 5:2 (3) 4:25 (4) None

10. A park is 16 mtr long and 12 mtr broad. Length of longest pole that can be placed in park is.

(1) 16m (2) 15 m (3) 20 m (4) 18 m

11. A rectangular grassy plot 60 m × 40 m has a gravel path 5 m wide all round it on outer side. Find cost of gravelling the path at Rs 10 per m2.

(1) 12000 (2) 11500 (3) 11000 (4) 10500

12. A rectangular grassy plot 50 m × 30 m has a gravel path 5 m wide all round it on inside. Find cost of gravelling the path at Rs 5 per m2.

(1) 3200 (2) 3500 (3) 3000 (4) 3400

13. A rectangular lawn plot 80 m × 60 m has two roads each 10 m wide running in the middle of it, one parallel to the length and the other parallel to the breadth. Find the cost of gravelling them at Rs 30 per meter2.

(1) 32000 (2) 39000 (3) 38000 (4) 34800

14. A rectangular lawn plot 35 m × 40 m has two roads each 5 m wide running in the middle of it, one parallel to the length and the other parallel to the breadth. Find the area remaining part.

(1)1150 m2 (2)1050 m2 (3)1000 m2 (4)1060 m2

15. Find the area of a parallelogram, whose base and height are 20 m and 8 m.

(1) 160 m2 (2) 190 m2 (3) 184 m2 (4) 180m2

16. The base of a parallelogram is twice its height and its area is 128 m2. Find the base.

(1) 15 m (2) 19 m (3) 16 m (4) 18 m

17. Find the area of a rhombus, whose diagonal are 16 m and 12 m.

(1) 96 m2 (2) 90 m2 (3) 84 m2 (4) 86 m2

160


18. Find the area of a rhombus, one side of which measures 20 m and one diagonal 24 m.

(1) 396 m2 (2) 390 m2 (3) 384 m2 (4) 386 m2

19. Find the area of a Trapezium, parallel side of which measures 20m and 30 m. The perpendicular distance between two sides is 10 m.

(1) 290 m2 (2) 250 m2 (3) 240 m2 (4) 230 m2

20. The distance between two parallel sides of a trapezium is 4 cm and the perpendicular distance between them is 19 cm. If the area of the trapezium is 475 cm2 , find the lengths of the parallel sides.

(1) 15,19 (2) 17,22 (3) 23,27 (4) 25,29

21. Find the area of a triangle whose sides are 13 m,14 m and 15 m in length.

(1) 84 m2 (2) 94 m2 (3) 76 m2 (4) 60 m2

22. The area of an equilateral triangle whose side is 8 cm. Is

(1)2cm64 (2)

2cm316 (3)2cm3.21 (4)

2cm34

23. Find the height of an equilateral triangle of side .cm33

(1) 6 cm (2) 9 cm (3) 4.5 cm (4) 8 cm

24. The area of an equilateral triangle whose height is cm34 Is.

(1) 2cm64 (2)

2cm316 (3)2cm3.21 (4)

2cm34

25. What is the ratio of the areas of circles inscribed and circumscribed In an equilateral triangle?

(1) 1:2 (2) 1:3 (3) 1:4 (4) 1:9

26. The length of each side of an equilateral triangle is 24 cm. The area of its inscribed circle is :

(1) (18 ?) m2 (2) (24??) m2

(3) (36?)m2 (4) (48?)m2

27. The length of each side of an equilateral triangle is 24 cm. The area of its circumscribed circle is :

(1) (178??)m2 (2) (184??)m2

(3) (192??)m2 (4) (148??)m2

28. Find the area of a right triangle whose base is 12 cm and hypotenuse 13 cm.

(1) 40 m2 (2) 30 m2 (3) 60 m2 (4)20 m2

29. The ratio of the areas of two triangles is 4:3 and the ratio of their heights is 3:4. Find the ratio of their bases.

(1) 16:9 (2) 4:3 (3) 9:16 (4) 3:4

30. The perimeter of an isosceles triangle is 16 cm. Its lateral side and the base are in the ratio 5:6. The area of the triangle is :

(1) 10 m2 (2)14 m2 (3) 12 m2 (4) 20 m2

31. Find the area of a circle whose radius is 35 m. (1) 3780 m2 (2) 3850 m2

(3) 3612 m2 (4) 3920 m2

32. Find the circumference of a circle whose area is 1386 m2.

(1) 142 m (2) 132 m (3) 212 m (4) 120 m

33. A wheel make 1000 revolutions in covering a distance of 88 km. Find the radius of the wheel.

(1) 14 m (2) 12 m (3) 7 m (4) 21 m

34. The number of revolutions an wheel of diameter 40 cm makes in travelling a distance of 176 m is

(1) 140 (2) 150 ( 3 ) 160 (4) 166

35. In a circle of radius 21 m, an arc subtends angle of 720 at the centre. The length of the arc is:

(1) 13.2 m (2) 19.8 m (3) 21.6 m (4) 26.4 m

36. In a circle of radius 12 m, the angle made by a sector at centre is 420. The area of the sector is:

(1) 126.4 m2 (2) 39.6 m2 (3) 52.8 m2 (4) 79.2 m2

37. The area sector of a circle of radius 5 cm formed by an arc of the length 8 cm, is:

(1) 20 m2 (2) 24 m2 (3) 40 m2 (4) 30 m2

38 The perimeters of a circular field and a square are equal. If the area of the square field is 12100 m2, the area of the circular field will be.

(1) 15500m2 (2) 15400m2 (3) 15200m2 (4) 15300m2

39. Four horses are tethered at four corners of a square plot of side 28 m so that they just cannot reach one

161


another. The ungrazed area is. (1) 162 m2 (2) 164 m2 (3) 168 m2

(4) 178 m2

40. Four coins touching each other, if the radius of each coin is 7 cm. Find the remaining space between them.

(1) 42 m2 (2) 44 m2 (3) 48 m2 (4) 38 m2

41. Three circles of radius 7 m are placed in such a way that each circle touches the other two. The area of the portion enclosed by circles is:

(1) 49 3 -77 m2 (2) 194 3 -77 m2

(3) 149 3 -77 m2 (4) 441 3 -77 m2

42. Four equal sized maximum circular plates are cut off from a square paper sheet of area 784 cm2. Remaining part of square is:

(1) 162 m2 (2) 164 m2 (3) 168 m2 (4) 178 m2

43. A circular grassy plot 35 m radius has a gravel path 7 m wide all round it on outer side. Find cost of gravelling the path at Rs 20 per m2.

(1) 33880 (2) 35880 (3) 38760 (4) 37540

44. One side of rectangular field is 4 meters and its diagonal is 5 meters. The area of the field is

(1) 12 m2 (2) 15 m2 (3) 20 m2 (4) 22 m2

45. A hall 40 meters long, 15 meters broad is to be paved with stones, each measuring 6 dm by 5 dm. the number of stones required is

(1) 1000 (2) 2000 (3) 3000 (4) None

46. If the side of a square is doubled, then the ratio of the area of resulting square to that of the given square is

(1) 1:2 (2) 2:1 (3) 3:1 (4) 4:1

47. The dimensions of the floor of a rectangular hall are 4 m×3m. the floor of the hall is to be tiled fully with 8cm×6cm rectangular tiles without breaking tiles to smaller size. The number of tiles required is

(1) 2800 (2) 2600 (3) 2500 (4) 2400

48. If the ratio of the area of two squares is 9:1, the

ratio of the their perimeters is (1) 9:1 (2) 3:1 (3) 3:4 (4) 1:3

49. If the side of a square be increased by 50% , the percentage increase in area is

(1) 75 (2) 100 (3) 125 (4) 150

50. The ratio of the area of a square to that of the square drawn on its diagonal is

(1) 1:1 (2) 1:2 (3) 1:3 (4) 1:4

51. A triangle of area 9 x y cm2 has been drawn such that its area is equal to the area of an equilateral triangle of side 6 cm. then the value of y is.

(1) cm2 (2) cm3 3 )2cm (4) 3 cm

52. The radius of a circle has been reduced from 9 cm to 7 cm. the approximate percentage decrease in area is

(1) 31.5% (2) 39.5% ( 3 ) 3 4 . 5 % (4) 65.5%

53. A circular write of radius 42 cm is cut and bent in the form of a rectangle whose sides are in the ratio of 6:5. The smaller side of the rectangle is

(1) 30 cm (2) 60 cm (3) 72 cm (4) 132 cm

54. The perimeter of a square circumscribing a circle of radius r is

(1) 2r (2) 4r (3) 8r (4) 21πr

55. The area of the largest triangle that can be inscribed in semi circle of radius r cm is

(1) 2r2cm (2)

22cmr (3)22cmr2 (4)

22cmr2/1

56. If a piece of wire 20 cm long is bent into an arc of

a circle subtending an angle of 060 at the centre,

then the radius of the circle (in cms) is

(1) 120π

(2) 60π

(3) π120

(4) π60

57. The side of a triangle are 5,12,13 cm respectively.

Its area in 2cm will be

(1) 24 (2) 26 (3) 30 (4) 45

58. The area of rectangular field whose sides are in

162


the ration of 4:3 is 1200 2m . Its diagonal will be (1) 40m (2) 50m (3) 70m

(4) 120m

59. If side of a square is doubled, then ratio between area of first square to result square is

(1) 1:2 (2) 1:4 (3) 1:6 (4) 1:8

60. Ratio of the area of a square to that of square drawn on its diagonal is

(1) 1:1 (2) 1:2 ( 3 ) 1:3 (4) 1:4

61. If the radius of a circle is increased by 100% then its area is increased by

(1) 400% (2) 200% ( 3 ) 300% (4) 100%

62. In 2 hrs, minutes hand of clock will rotate through an angle of

(1) 600 (2) 3600 (3) 7200 (4) 1800

63. The length of a rectangular plot is 60% more than its breadth. If the difference between the length and the breadth of that rectangle is 24 cm, what is the area of that rectangle?

(1) 2400 sq. cm (2) 2480 sq.cm (3) Data inadequate (4) None of

these

64. A rectangular parking space is marked out by painting three of its sides. If the length of the unpainted side is 9 feet, and the sum of the lengths of the painted sides is 37 feet, then what is the area of the parking space in square feet?

(1) 46 (2) 81 (3) 126 (4) 252

65. The length of a rectangular plot is 20 meters more than its breadth. If the cost of fencing the plot @ Rs. 26.50 per meter is Rs. 5300 what is the length of the plot in meters?

(1) 40 (2) 50 (3) 120 (4) None

66. The ratio between the length and the breadth of a rectangular park is 3:2. If a man cycling along the boundary of the park at the speed of 12 km/hr completes one round in 8 minutes, then the area of the park (in sq. m) is

(1) 15360 (2) 153600 ( 3 ) 30720 (4) 307200

67. A farmer wishes to start a 100sq. m rectangular

vegetable garden. Since he has only 30 m barbed wire, he fences three sides of the garden letting his house compound was act as the fourth side fencing. The dimension of garden is

(1) 15 m × 6.67 m (2) 20 m × 5 m (3) 30 m × 3.33 m (4) 40 m ×2.5 m

68. A rectangular paper, when folded into two congruent part had a perimeter of 34 cm for each part folded along one setoff sides and the same is 38 cm when folded along the other set of sides, what is the area of the paper?

(1) 140cm2 (2) 240cm2 (3) 560cm2 (4) None

69. The diagonal of the floor of a rectangular closet is 7½ feet. The shorter side of the closet is 4½ feet. What is area of the closet in square feet?

(1) 5¼ (2) 13½ (3) 27 (4) 37

70. The diagonal of a rectangle is 41 cm and its area is 20 cm2. Perimeter of rectangle must be.

(1) 9 cm (2) 18 cm (3) 20 cm (4) 41 cm

71. The ratio between length and the breadth of a rectangular field is 3:2. If only length is increased by 5 meters, new area of field will be 2600 sq. meters. What is breadth of rectangular field?

(1) 40 mtr (2) 60 mtr (3) 65 mtr (4) None

72. If the length and breadth of a rectangular room are each increased by 1 m, then the area of floor is increased by 21 sq. m. if the length is increased by 1 m and breadth is decreased by 1 m then the area is decreased by 5 sq. m. the perimeter of the floor is

(1) 30 m (2) 32 m (3) 36 m (4) 40 m

73. If the length and breadth of a rectangular plot be increased by 50% and 20% respectively then how many times will its area be increased?

(1) 311

(2) 2 (3) 523

(4) 514

5) None

74. A towel, when bleached, was found to have lost 20% of its length and 10% of its breadth. The percentage of decrease in are is

(1) 10% (2) 10.08% (3) 20% (4) 28%

163


Mensuration LeVeL-2

1. How many meters of carpet 75 cm wide will be required to cover the floor of a room which is 20 meters long and 12 meter broad?

20 ehVj yEcs rFkk 12 ehVj pkSM+s iQ'kZ ij fcNkus ds fy, 75 lseh pkSM+kbZ okys fdrus ehVj dkWjisV dh vko';drk gksxh\ (1) 320 m2 (2) 80 m2 (3) 360 m2 (4) 240 m2

2. How many tiles, each measuring 2½ meters by 2 meters, are required to cover a rectangular courtyard 30 meters long and 16½ meters broad?

30 eh- yEcs rFkk 16½ eh- pkSM+s vk;rkdkj Hkw&Hkkx ij fcNkus ds fy, 2½eh-×2 eh- ds eki dh fdruh Vkbyks dh vko';drk gksxh\(1) 100 (2) 90(3) 99 (4) 120

3. A hall, 39 m 10 cm long and 35 m 70 cm broad, is to be covered with least number of square tiles. Find total number of tiler.

,d gkWy 39 eh- 10 lseh- yEck rFkk 35 eh- 70 lseh pkSM+k gS esa fcNkus ds fy, de ls de fdruh oxkZdkj Vkbyksa dh vko';drk gksxh\(1) 583 (2) 483(3) 450 (4) 433

4. Findthewidthofarollerwhichtravels128kmwhilecutting6.4hectaresofgrain.

ml jksyj dh pkSM+kbZ fdruh gksxh tks 6-4 gsDVs;j iQly dks dkVus ds fy, 128 fdeh- dh nwjh r; djrk gS\(1) 50cm (2) 64 cm (3) 70cm (4) 100cm

5. Agroundmeasures19meters2.5dmby12meters5dm.Fromthecentreofeachsideapath2meterswidegoesacrosstothecentreoftheoppositeside.Findthecostformakingpathattherateof` 50 per sq. meter.

,d eSnku tksfd 19 eh- 2-5 Mslh eh- yEck rFkk 12 eh- 5 Mslh eh- pkSM+k gS ds izR;sd Hkwtk ds eè; ls 2 ehVj pkSM+k jkLrk foifjr Hkwtk ds eè; rd tkrk gSA ` 50 izfr oxZ eh- dh nj ls bl jkLrs dks cukus dk [kpZ Kkr djsa\(1) `3175 (2) ` 2975(3) `2870 (4) `2500

6. Apath2meterswide,runningallroundasquaregarden

hasanareaof9680sq.meters.Findtheareaofthepartofthegardenenclosedbythepath.

,d oxkZdkj eSnku ds pkjksa vksj 2 ehVj pkSM+k iFk cuk;k x;k gS ftldk {ks=kiQy 9680 eh2 gSA ml oxkZdkj eSnku dk {ks=kiQy Kkr dhft,\(1) 1569004m2 (2) 1440000m2 (3) 1459264m2 (4) 1210004m2

7. Amarginalwalkall-round the insideof a rectangularspace37mby30moccupies570sq.m.Findthewidthofwalk.

37 eh- yEcs rFkk 30 eh- pkSM+s vk;rkdkj {ks=k esa ,d iFk }kjk 570 eh2 Hkkx ?ksjk x;k gSA ml iFk dh pkSM+kbZ D;k gksxh\(1) 8m (2) 5m(3) 10m (4) 20m

8. Inthecenterofaroom10meterssquare,thereisasquarecarpet,andtherestoftheflooriscoveredwithoilcloth.Thecarpetandtheoilclothcostrespectively`150and`65persquaremeterandthetotalcostofthecarpetandtheoilcloth is`13385.Find thewidthof theoilclothborder.

10 eh- yEcs okys oxkZdkj dejs esa ,d oxkZdkj dkWjisV fcNk;k x;k Fkk 'ks"k Hkkx dks vkW;yDyksFk ls <+dk x;kA dkWjisV rFkk vkW;yDyksFk dh fder Øe'k% ` 150 rFkk ` 65 izfr oxZ ehVj gS vkSj dkWjisV rFkk vkW;yDyksFk ij dqy [kpZ ` 13385 gSA vkW;yDyksFk dh pkSM+kbZ Kkr djsaA(1) 2deci-meter (2) 10deci-meter(3) 1deci-meter (4) 5deci-meter

9. Thesidesofarectangularfieldof726sqmeterareintheratio3:2.Findthesides.

726 eh2 vk;rkdkj {ks=k dh Hkwtk, 3 % 2 ds vuqikr esa gSA Hkwtk,a Kkr djsa\(1) 30m,20m (2) 33m,22m(3) 33m,20m (4) 15m,10m

10. Theareaofarectangularfieldis27000sq.meterandtheratiobetweenitslengthandbreadthis6:5.Findthecostofthewirerequiredtogofourtimesroundthefieldat `740perkilometeroflengthofthewire.

27000 eh2 vk;rkdkj {ks=k dh yEckbZ rFkk pkSM+kbZ dk vuqikr 6 % 5 gSA ` 740 izfr fdeh- dh nj ls bl vk;rkdkj {ks=k ds pkjksa rjiQ pkj ckj rkj yisVus dk [kpZ Kkr djsa\(1) `1950 (2) `2153.6(3) `2500 (4) `1953.6

164


11. A square field containing 31684 sq.meters is to beenclosedwithwireplacedatheight1,2,3,4metersabovetheground.Whatlengthofthewirewillbewanted,ifthelengthrequiredforeachcircuitis5%greaterthantheperimeterofthefield?

31684 eh2 oxkZdkj eSnku ds pkjksa vksj 1] 2] 3 rFkk 4 eh-

dh Å¡pkbZ ij rkj yxk;k x;k gSA crkb,a fdruh yEch rkj

dh vko';drk gksxh ;fn izR;sd lfdZV ds fy, 5» ifjeki

ls vf/d rkj dh vko';drk gks(1) 2900m (2) 2590.3m(3) 2990.4m (4) 3501.6m

12. Howlongwillamantaketowalkroundtheboundaryofasq.fieldcontaining9hectaresattherateof6kmanhour?

,d O;fDr dks 6 fdeh-@?ka- dh pky ls pyrs gq, 9 gsDVs;j

oxkZdkj eSnku dh Hkqtkvksa ds lkFk r; djus esa fdruk le;

yxsxk\(1) 20min (2) 12min(3) 25min (4) 60min

13. Theperimeterofa rhombus is146cmandoneof itsdiagonalsis55cm.findtheareaoftherhombus.

,d le prqHkqZt dk ifjeki 146 lseh gS rFkk ,d fod.kZ

dh yEckbZ 55 lseh gSA bldk {ks=kiQy Kkr djsaA (1) 1320cm2 (2) 1200 cm2 (3) 1720cm2 (4) 1500cm2

14. Ratiobetweentheparallelsidesofthetrapeziumis1:3,whileratiobetweenunparallelsidesofthetrapeziumis2:3.Ratiobetweenbiggerparallelandunparallelsides

is2:1.Iftheheightofthetrapeziumis ,

thefindtheareaofthetrapezium. ,d leyEc prqHkqZt dh nks lekUrj Hkqtkvksa ds chp vuqikr

1%3 gS tcfd ckfd nks Hkqtk,a 2%3 ds vuqikr esa gSaA cM+h

lekarj rFkk vlekarj Hkqtkvkas esa vuqikr 2%1 gSA ;fn leyEc

prqHkqZt dh Å¡pkbZ gks] rks bldk {ks=kiQy Kkr

djsaA

(1) 150unit2 (2) 75 unit2

(3) 90 unit2 (4) 150 unit2

16. Theparallelsidesofatrapeziumare60cmand99cmanditsnon-parallelsidesare42cmand45cm.Finditsarea.

,d leyEc prqHkqZt dh nks lekUrj Hkqtkvksa dh yEckbZ 60 lseh- rFkk 99 lseh- gS rFkk vlekUrj Hkqtkvksa dh yEckbZ 42 lseh rFkk 45 lseh gS] bldk {ks=kiQy Kkr djsa\(1) 3050.19 (2) 3000(3) 3082.15 (4) 3500

17. Twocircles touchexternally.Thesumof theirarea is130πsqcmandthedistancebetweentheircentersis14cm.Findtheradiiofthecircles.

nks o`r ,d nwljs dks cká Li'kZ djrs gSaA buds {ks=kiQy dk ;ksx 130π lseh2 rFkk buds dsUnz ds chp nwjh 14 lseh gSA o`Ùkksa dh f=kT;k Kkr djsa\(1) 11cm,9cm (2) 8cm,6cm(3) 7cm,7cm (4) 11cm,3cm

18. Twocirclestouchinternally.Thesumoftheirareasis116πsqcmandthedistancebetweentheircentersis6cm.findtheradiiofthecircle.

nks o`Ùk ,d nwljs dks vUr% Li'kZ djrs gSA buds {ks=kiQy dk ;ksx 116π lseh2 gS rFkk buds dsUnz ds chp nwjh 6 lseh gSA f=kT;k,a Kkr djsa\(1) 10cm,8cm (2) 10cm,4cm(3) 16cm,10cm (4) 12cm,6cm

19. Abucketisraisedfromawellbymeansofaropewhichiswouldroundawheelofdiameter75cm.Ifthebucketascendsin1meter,12secondswithauniformspeedof1.3mpersecond,findthenumberofcompleterevolutionmadebythewheelinraisingthebucket.

,d ckYVh ,d jLlh dh lgk;rk ls ,d ifg, ftldk O;kl 75 lseh gS ds }kjk dqa, esa yVdkbZ xbZA ;fn ckYVh 1-3 ehVj@lsa- dh ,dleku xfr ls 1 feuV 12 lsds.M esa Åij [khaph xbZ gks] rks crkb, ckYVh ds Åij vkus rd ifg, }kjk fdrus pØ yxk, x,\(1) 40(approx) (2) 42(approx)(3) 49(approx) (4) 35(approx)

20. Abrick,5cmthick(high),isplacedagainstawheeltoactforastop.Thehorizontaldistanceofthefaceofthebrickstoppingthewheelfromthepointwherethewheeltouchesthegroundis15cm.whatistheradiusofthewheel?

,d bZaV ftldh eksVkbZ 5 lseh- gS] ifg, dks jksdus ds fy,

165


yxkbZ xbZ gSA og fcUnq tgka ifg;ka lrg dks Nqrk gS ls bZaV dh nwjh 15 lseh gSA ifg, dh f=kT;k D;k gksxh\(1) 20cm (2) 30 cm(3) 25cm (4) 40cm

21. The radius of circle is 20 cm. threemore concentriccirclesaredrawninsideitinsuchamannerthatitdividesinit4equalparts.Findtheradiusofthesmallestcircle?

,d o`Ùk dh f=kT;k 20 lseh gSA blds vUnj 3 ladsUnzh o`Ùk bl izdkj cuk, x, tks bl o`Ùk 4 cjkcj Hkkx esa ckaVrs gSaA lcls NksVs o`Ùk dh f=kT;k Kkr djsaA

(1) 10 cm (2) 15 cm

(3) 5 cm (4) 10cm

22. Anequilateral trianglehavingsides .Two

moreequilateral trianglearedrawninsideit insuchamannerthatitdividesitin3equalparts.Findthesideofthesmallesttriangle.

,d leckgq f=kHkqt dh izR;sd Hkqtk lseh gSA

blds vanj nks vU; leckgq f=kHkqt bl izdkj cuk;h tkrh gS fd vUr% Hkkx rhu cjkcj {ks=kksa esa foHkkftr gks tkrk gSA lcls NksVs leckgq f=kHkqt dh izR;sd Hkqtk D;k gS\

(1) 12 cm (2) 24 cm

(3) 18cm (4) 24 cm

23. Whenweincreasethelengthofarectangularfieldby8m.anddecreaseitsbreadthby2m.,thenitsareaisincreasedby 144 m2.Butwhenwedecreaseitlengthby2mandincreaseitbreadthby7m,itsareaisincreaseby154m2. Findthelengthandthebreadthoftherectangularfield.

,d vk;rkdkj Hkw[k.M dh yEckbZ dks tc 8 ehVj ls vf/d rFkk pkSM+kbZ 2 ehVj ls de dj fn;k tkrk gS rc mldk {ks=kiQy 144 oxZ ehVj ls vf/d gks tkrk gSA ysfdu tc yEckbZ 2 ehVj ls de rFkk pkSM+kbZ 7 ehVj ls vf/d fd;k tkrk gS rc mldk {ks=kiQy 154 oxZ ehVj ls c<+ tkrk gSA bl Hkw[k.M dh yEckbZ rFkk pkSM+kbZ D;k gS\

(1) 32m,24m (2) 20m,14m(3) 32m,28m (4) 24m,28m

24. Thelengthofonediagonalofarhombusin48cm.andthelengthofeachsideoftherhombusis30cm.Find(i)lengthofotherdiagonal(ii)area(iii)height

,d leprqHkqZt dk ,d fodZ.k 48 lseh rFkk izR;sd Hkqtk 30 lseh gSA Kkr djsa (i)nwljk fod.kZ dh yEckbZ(ii){ks=kiQy (iii)Å¡pkbZ

25. Thelengthofonesideofatrapeziumisthreetimesofitsparallelsideandthesumoftwoparallelsideis9.6timesofitsheight.Iftheareais120m2,thenfindthelengthoftwoparallelsides

,d leyEc prqHkqZt dh lekukUrj Hkqtkvksa esaa ,d nwljs dh rhu xquh gS rFkk bu nksuksa Hkqtkvksa dk ;ksx mldh Å¡pkbZ dk 9-6 xquk gSA ;fn mldk {ks=kiQy 120 oxZ eh2 gks] rks lekukUrj Hkqtkvksa esa ls izR;sd dh yEckbZ D;k gS\(1) 12m,36m (2) 10m,30m(3) 15m,45m (4) 20m,60m

26. Find the area of an isosceles right angle triangle, thelengthofwhoseeachsidecontainingtherightangleis15 cm.

ml lef}ckgq ledks.k f=kHkqt dk {ks=kiQy D;k gksxk] ftldh izR;sd ledksf.k; Hkqtk dh yEckbZ 15 lseh gS\(1) 111cm2 (2) 132.5cm2 (3) 225cm2 (4) 112.5cm2

27. Theperimeterofaisoscelesrightangletriangleis2p.

1. (1) 2. (3) 3. (2) 4. (A) 5. ( 2 ) 6. (3) 7. (2) 8. (4) 9. (2) 10. (4 ) 11. (3) 12. (2) 13. (A) 14. (4) 15. (3 ) 16. (3) 17. (4) 18. (2) 19. (1) 20. (3 ) 21. (4) 22. (2) 23. (3) 24. * 25. (1 ) 26. (4) 27. (3)

answer key

166


231. Findvalueofsin405º?

(1)1/2 (2)1/ (3) /2 (D)0

2. Findvalueofcos150º?

(1)1/2 (2) /2 (3)– /2 (D)1

3. Findvalueoftan210º?

(1)1/ (2)1 (3) (D)1/4

4. tan1º.tan2º.tan3º...tan89º

(1)0 (2)1 (3) (D)11½

5. cot10º.cot20º.cot60º.cot70º.cot80º

(1) (2)1 (3)22½ (D)1/

6. cot . cot . cot . cot . cot

(1)1 (2)1/ (3) (D)1/2

7. tan . tan . tan . tan – sin2

(1) (2)3/4 (3)1/4 (D)2/3

8. sin21º+sin22º+sin23º+...+sin289º (1)44½ (2)22½ (3)11½ (D)½

9. sin21º+sin23º+sin25º+...+sin289º (1)11½ (2)½ (3)22½ (D)3/2

10. sin21º+sin25º+sin29º...+sin289º (1)22½ (2)44½ (3)½ (D)11½

11. sin25º+sin210º+sin215º+...+sin285º+sin290ºis (A)11½ (2)9½ (3)18½ (D)0

12. +2tan11º.tan31º.tan45º.tan59º.tan79º–3(sin221º+sin269º)is

(1)0 (2)1 (3)1/ (D)2

13. sin25º+sin26º+...+sin284º+sin285º=? (1)21½ (2)44½ (3)40½ (D)11½

14. If A=tan11º.tan29º, B=2cot61º.cot79º then (1)A=2B (2)A=–2B (3)2A=B (D)2A=–B

LeVeL - 1

15. cos1º.cos2º.cos3º.....cos179º (1)1 (2)½ (3)2 (D)0

16. tan4º.tan43º.tan47º.tan86º

(1) (2)1 (3)1/ (D)–1/

17. sin10º+sin20º+sin30º+...+sin360º

(1)0 (2)11½ (3)1 (D)1/

18. tan48º.tan23º.tan42º.tan67º.

(1)1/ (2) (3)1 (D)0

19. cosec 39º = x, + sin2 39º + tan2 51º –

(1)x2 (2)x2–1 (3)1 (D)x–1

20. tan10º.tan20º.tan30º.....tan80ºis

(1) (2)2 (3)1/ (D)1

21. sin25º+sin225º+sin245º+sin265º+sin285º (1)9½ (2)2½ (3)11½ (D)22½

22. tan . tan . tan . tan – sin =?

(1) (2) –1 (3) (D)

23. cotθ.tan(90º–θ)–sec(90º–θ).cosecθ + (sin225º

+ sin265º)+ (tan5º.tan15º.tan30º.tan75º.tan85º)

(1)2 (2)1 (3)–2 (D)

24. 152(sin30º+2cos245º+3sin30º+4cos245º+...+17sin30º+18cos245º

(1)12996 (2)12116 (3)12786 (D)13917

25. 3cos80º.cosec10º+2cos59º.cosec31º

(1)2 (2)5 (3)1 (D) /2

26. cot41º.cot42º.cot43º.cot44º.cot45º.cot46º.cot47º.cot48º.cot49º

(1)1/ (2) (3)1 (D)2

trigonometry

167


27. cos1º.cos2º.cos3º.....cos90º

(1) /2 (2)1 (3) (D)0

28. tan31º.tan32º.tan33º.....tan59º

(1)1 (2) (3)3 (D)1/

29. (1)2 (2)1/2 (3)1 (D)3/2

30. tan720º–cos270º–sin150º.cos120º (1)1/4 (2)1/2 (3)0 (D)3/4

31. sin25º+sin210º+sin285º+sin280º (1)1 (2)0 (3)2 (D)1/2

32. Ifsin17º= ,thenthevalueof(sec17º–sin73º)is:

(1) (2)

(3) (D)

33. Iftanθ=4/3,thensinθ=? (1)5/3 (2)4/3 (3)4/5 (D)4/4

34. In∆OPQ, ∠P = 90º,∠POQ = θ andOP = 7 cm, OQ–PQ=1cm,thenthevalueofsecθ – tan θ=?

(1)1/7 (2)7 (3)25/7 (D)7/24

35. Ina∆aBC, ∠Bisrightangled,AB=5cm.and∠aCB =30º,thenBC+CA=?(approx)

(1)18.5 (2)19.5 (3)17 (D)20

36. Ifcotθ = ,then =?

(1) (2) (3) (D)None

37. secθ = ,then =? (1)9/25 (2)12/25 (3)1/25 (D)3/4

38. 3tanθ=4,then =? (1)1/2 (2)2/3 (3)1/3 (D)None

39. Ifsinθ=5/13,thentanθandsecθis? (1)5/12 (2)13/12 (3)10/13 (D)11/12

40. Ifsinθ + cos θ = ,thensinθ – cos θ=? (1)5/17 (2)7/13 (3)7/10 (D)None

41. If5tanθ=4,thenthevalueof is (1)1/7 (2)2/7 (3)5/7 (D)2/5

42. Iftanθ = ,then =? (1)1/2 (2)–1/2 (3)–3 (D)3

43. In∆XYZ,∠Y=90º,ifXY=2 andXZ–YZ=2,thenthevalueofsecX+tanXis?

(1)1/ (2) (3)2 (D)None

44. If2sinα + 15 cos2 α=7,thenthevalueofcotα=? (1)½ (2)3/4 (3)5/4 (D)1/4

45. If3sin2 α + 7 cos2 α=4,thentanα=?

(1) (2) (3) (D)

46. If7sin2 θ+3cos2 θ=4,thentanθ=?

(1) (2)1/ (3)1 (D)0

47. Ifsec2 θ + tan2 θ=7,thenthevalueofθ is. (1)30º (2)45º (3)60º (D)None

48. Ifsinθ – cos θ=7/13,thensinθ + cos θ=? (1)17/13 (2)13/17 (3)1/13 (D)1/17

49. Ifcosθ=15/17,thencot(90–θ)=?

(1) (2) (3) (D)50. If4sin2 θ=3,thenθis? (1)30º (2)60º (3)45º (D)None

answer key1. (2) 2. (3) 3. (1) 4. (2) 5. (D)6. (1) 7. (2) 8. (1) 9. (3) 10. (D)11. (2) 12. (1) 13. (3) 14. (3) 15. (D)16. (2) 17. (1) 18. (3) 19. (2) 20. (D)21. (2) 22. (3) 23. (2) 24. (1) 25. (2)26. (3) 27. (D) 28. (1) 29. (3) 30. (1)31. (3) 32. (3) 33. (3) 34. (1) 35. (1)36. (1) 37. (2) 38. (3) 39. (2) 40. (2)41. (1) 42. (D) 43. (2) 44. (2) 45. (3)46. (2) 47. (3) 48. (1) 49. (2) 50. (2)

168


trigonometry LeVeL-2

1. Iftanx=3/4,thensinxcosx=? (1)3/15 (2)12/25 (3)4/5 (4)13/25

2. If13cosθ=12k–5,wherekisaninteger.Thenk'spossiblevaluesis?

(1)3 (2)1 (3)2 (4)4

3. cosθ=4/5,then =?

(1) (2) (3) (4)

4. If∆aBC, ∠B=90º,AC=2 cm.andAB–BC=2cm,thencos2 a – cos2C=?

(1)3/5 (2)6/5 (3)3/10 (4)2/5

5. If5cosθ+12sinθ=13,thentanθ is: (1)12/5 (2)13/12 (3)14/14 (4)12/12

6. If3sinθ + 4 cos θ=5,then3cosθ – 4 sin θ=? (1)0 (2)3 (3)4 (4)5

7. If2sinθ + 15 cos2 θ=7,thencotθ=?

(1) (2) (3) (4)

8. If3sin2 α + 7 cos2 α=4,thentanα=?

(1) (2) (3) (4)1

9. (1 + tan2 θ)(1+sinθ)(1–sinθ)=? (1)1 (2)–1 (3)0 (4)2

10. evaluate p = (sin θ + cosec θ)2 + (cos θ + sec θ)2

(1)7+tan2 θ (2 ) 7 + tan 2 θ + co t 2 θ

(3)5+tan2 θ + cot2 θ (4)5–tan2 θ + cot2 θ

11. evaluate (cosec θ – sin θ)(secθ – cos θ)(tanθ + cot θ)

(1)1 (2)2 (3)4 (4)6

12. Ifsinθ + cos θ=pandsecθ + cosec θ = q thenq(p2–1)=?

(1)p (2)2p (3)3p (4)2p2

13. (1+cotθ – cosec θ)(1+tanθ + sec θ)=? (1)1 (2)3 (3)2 (4)0

14. sin6 θ + cos6 θ+3sin2 θ . cos2 θ=?

(1)1 (2)0 (3)3 (4)4

15. 3(sinx–cosx)4+6(sinx+cosx)2 + 4(sin6 x + cos6x)=?

(1)11 (2)12 (3)13 (4)10

16. sec4 a (1 – sin4A)–2tan2A=? (1)0 (2)1 (3)–1 (4)2

17. Iftanθ – cot θ=aandcosθ – sin θ = b thenthevalueof(a2+4)(b2–1)2 is

(1)4 (2)1 (3)2 (4)3

18. Valueof2(sin6 θ + cos6 θ)–3(sin4 θ + cos4 θ)+1is (1)4 (2)0 (3)1 (4)2

19. sec4 θ – sec2 θ is equal to (1)tan2 θ – tan4 θ (2)tan2 θ + tan4 θ (3)cos4 θ – cos2 θ (4)cos2 θ – cos4 θ

20. Ifsecθ – cosec θ=0,thenthevalueof(secθ + cosec θ)is

(1) (2) (3)0 (4)

21. Ifpsinθ = andpcosθ=1,thenthevalueofpis.

(1) (2) (3) (4)222. If3sin2 α + 7 cos2 α=4,thenthevalueoftanαwhen

0º<α<90º

(1) (2) (3) (4)

23. Thevalueof (sec θ – cos θ)(cosecθ – sin θ)(tanθ + cot θ)is

(1)1 (2)3/2 (3)0 (4)2

24. (secA–cosA)2+(cosecA–sinA)2–(cotA–tanA)2 =?

(1)0 (2)1/2 (3)1 (4)2

25. Ifcos2 α + cos2 β=2,thenthevalueoftan3 α + sin5 β is

(1)–1 (2)0 (3)1 (4)1/

26. Thesimplifiedvalueof(secxsecy+tanxtany)2 – (sec xtany+tanxsecy)2 is

(1)–1 (2)0 (3)sec2x (4)1

27. Thevalueof(secθ – cos θ)(cosecθ – sin θ)(tanθ + cot

169


θ)is (1)1 (2)3/2 (3)2 (4)0

28. Ifcosecθ – sin θ = landsecθ – cos θ=m,thenthevalueofl2 m2 (l2 + m2+3)is

(1)–1 (2)0 (3)1 (4)2

29. Thenumericalvalueof +3sin2 θ is (1)5 (2)2 (3)3 (4)4

30. 1– =? (1)sinθ . cos θ (2)sinθ (3)cosθ (4)sin2θ . cos2 θ

answer key1. (2) 2. (2) 3. (3) 4. (1) 5. (2)6. (1) 7. (2) 8. (1) 9. (1) 10. (2)11. (1) 12. (2) 13. (3) 14. (1) 15. (3)16. (2) 17. (1) 18. (2) 19. (2) 20. (4)21. (4) 22. (3) 23. (1) 24. (3) 25. (2)26. (4) 27. (1) 28. (3) 29. (1) 30. (1)

170


trigonometry LeVeL-3

1. If cosecθ – sin θ =m and secθ – cos θ = n, then (m2n)2/3 + (mn2)2/3=?

(1)1 (2)2 (3)3 (4)4

2. If cot θ + tan θ = x and sec θ – cos θ = y, then(x2y)2/3 – (xy2)2/3=?

(1)4 (2)3 (3)2 (4)1

3. Ifsinθ + sin2 θ=1,thencos2 θ + cos4 θ=? (1)1 (2)2 (3)3 (4)–1

4. tan6 θ+3tan2 θ . sec2 θ+1=? (1)tan6 θ (2)sec6 θ (3)sec4 θ (4)sec3 θ

5. (tanA+secA–1)cosAis– (1)1+sinθ (2)(1+sinA)(tanA–secA+1) (3)1–sinA (4)None

6. Iftan2 B = ,thenA+2B=? (1)π/2 (2)π/3 (3)π/4 (4)π/4

7. =? (1)2sinθ (2)2cosθ (3)sin2θ (4)cos2θ

8. Ifx+ =2cosθ,thenx3 + =? (1)½cosθ (2)cosθ (3)2cos3θ (4)3cos3θ

9. Ifa2 + b2 + c2=ab+bc+ca,thena3 + b3 + c3=? (1)3abc (2)3a2b2c2 (3)3(abc)3 (4)None

10. If2sinθ = sec θ,thenthevalueofsin4 θ + cos4 θ=? (1)1 (2)1/2 (3)1/4 (4)1/8

11. Ifx=cosθ,y=2sinθ . cos θ,then (1)y2 = 4x2 + 4x4 (2)y2 = 4x2 – 4x4 (3)y2=2x2 + 4x4 (4)y2=2x2 – 4x4

12. cos2 θ (1 + tan2 θ)+sin2 (1 + cot2 θ)=? (1)1 (2)2 (3)3 (4)4

13. Ifcos2 α + cos2 β=2,thenthevalueof tan3 α + sin5 α=?

(1)–1 (2)0 (3)1 (4)1/

14. Ifcosx+cosy=2,thensinx+siny=?

(1)0 (2)1 (3)2 (4)–1

15. Ifcosθ + sin θ=a,thencosθ – sin θ=?

(1) (2) (3) (4)

16. =? (1)2cosecθ (2)2secθ (3)2tanθ (4)2cotθ

17. cos(A+B).cos(A–B)=? (1)sin2 a – sin2B (2)cos2 a – sin2 B (3)cos2 a – cos2B (4)cos2A.sin2B

18. Valueofsin6 α + cos6 α+3sin2 α . cos2 α is (1)0 (2)1 (3)1/2 (4)1/4

19. Iftanθ + cot θ =2,thenthevalueofθ is (1)60º (2)45º (3)30º (4)90º

20. Ifcos2 α – sin2 α = tan2 β, thenthevalueofcos2 β – sin2 β=?

(1)cot2 β (2)sin2 α (3)tan2 α (4)cos2 α

21. Iftanθ – cot θ=aandcosθ + sin θ = b, then(a2+4)(b2–1)2=? (1)1 (2)2 (3)3 (4)4

22. Themaximumvalueofxyis.Ifx2 + y2 = 1 (1)1/2 (2)–1/2 (3)2 (4)–2

23. (tanθ + sec θ)2=?

(1) (2)

(3) (4)24. (1)cosec2 x + sec2 x = cosec2 x . sec2 x. (2)sec2 x + tan2 x = sec2 x . tan2 x. (3)cosec2 x + tan2 x = cot2 x + sec2 x whichoftheaboveequationsisincorrect?

25. If =nand =m,thenthevalueof(m2 – n2)sin2 y is

(1)1–n2 (2)1+n2 (3)m2 (4)None

26. Ifcotθ = whatisthecosθequalto?

171


(1) (2)

(3) (4)

27. =? (1)0 (2)sinA.cosB (3)cosA.cosB (4)tanA.tanB

28. (secA–cosA)2+(cosecA–sinA)2–(cotA–tanA)2 = ?

(1)0 (2)1/2 (3)1 (4)2

answer key1. (1) 2. (2) 3. (1) 4. (2) 5. (2)6. (1) 7. (2) 8. (3) 9. (1) 10. (2)11. (2) 12. (2) 13. (2) 14. (1) 15. (3)16. (2) 17. (2) 18. (2) 19. (2) 20. (3)21. (4) 22. (1) 23. (3) 24. (2) 25. (1)26. (1) 27. (1) 28. (3)

172


241. What should come in the place of question mark

(?) in the following series ? 3 7 15 ? 36 (1) 19 (2) 27 (3) 31 (4) 35 (5) None

2. In the following number series , only one number is wrong . Find out that wrong number.

3 4 12 37 103 228 444 (1) 4 (2) 12 (3) 37 (4) 103 (5) 228

3. What should come in the place of question mark(?) in the following series?

16 8 12 30 ? (1) 95 (2) 96 (3) 84 (4) 87 (5) None

4. A wrong number is given in the following series .Find the wrong number.

1 12 65 264 795 1590 1593 (1) 12 (2) 65 (3) 264 (4) 795 (5) 1590

5. In the following series a wrong number is given. Find out the one.

15 31 46 63 79 95 (1) 15 (2) 31 (3) 46 (4) 63 (5) 79

6. A series of number is given below. Which number should come in the place of the question mark(?)?

6 36 216 1296 ? (1) 1596 (2) 7016 (3) 7676 (4) 8776 (5) None

7. What should come in place of the question mark(?) in the following number series?

5690 5121 4552 3983 3414 2845 ? (1) 2276 (2) 2516 (3) 2746 (4) 2356 (5) None

8. What should come in the place of the question mark(?) in the following number series?

15 50 155 470 1415 ? (1) 4250 (2) 7078 (3) 4245

LeVeL - 1

(4) 7015 (5) None

9. In the following number series one wrong number is given , find out the wrong number?

51 102 406 816 1632 (1) 306 (2) 420 (3) 354 (4) 406 (5) None

10. What should come in place of the question mark (?) in the following number series?

888 888 444 148 ? 7.4 (1) 32 (2) 37 (3) 35 (4) 36 (5) None

11. What will come in place of the question mark(?) in the following number series?

8 12 24 ? 180 630 (1) 48 (2) 60 (3) 36 (4) 64 (5) None

12. What should come in place of the question mark(?) in the following number series?

56 84 ? 189 283.5 425.25 (1) 168 (2) 132 (3) 136 (4) 126 (5) None

13. What should come in place of the question mark(?) in the following number series ?

5 11 23 41 65 95 ? (1) 131 (2) 125 (3) 137 (4) 121 (5) None

Directions (14-16) What should come in place of question mark (?) in the following series?

14. 23 33 46 62 81 103 (?) (1) 126 (2) 130 (3) 133 (4) 128 (5) None

15. 7 14 25 38 55 74 (?) (1) 97 (2) 99 (3) 107 (4) 113 (5) None

16. 9 73 105 121 129 (?) 135 (1) 13 (2) 131 (3) 133 (4) 134 (5) None

17. What should come in the place of the question

number Series

173


mark(?) in the number series given below? 25 34 52 79 115 ? (1) 160 (2) 140 (3) 153 (4) 190 (5) None

18. What number should come in the of the question mark(?) in the series given below?

15 22 36 57 85 ? (1) 120 (2) 150 (3) 110 (4) 90 (5) None

Direction (19-23): What will come in place of the question mark(?) in the following number series?

19. 8 9 12 17 ? (1) 26 (2) 22 (3) 28 (4) 24 (5) None

20. 7 13 25 49 ? (1) 99 (2) 98 (3) 97 (4) 96 (5) None

21. 32 37 47 62 ? (1) 77 (2) 82 (3) 72 (4) 87 (5) None

22. 11 20 38 74 ? (1) 141 (2) 121 (3) 151 (4) 154 (5) None

23. 16 24 36 54 ? (1) 81 (2) 72 (3) 74 (4) 84 (5) None

Directions(24-25): What should come in place of question mark (?) in the following series ?

24. 13 17 25 37 53 73 ? (1) 101 (2) 105 (3) 94 (4) 96 (5) None

25. 15 16 18 21 25 30 ? (1) 36 (2) 35 (3) 37 (4) 38 (5) None

Directions (26-27): What should come in place of question mark (?) in the following number series?

26. 7 9 12 16 21 27 ? (1) 29 (2) 33 (3) 36 (4) 34 (5) None

27. 256 128 64 32 16 8 ? (1) 6 (2) 5 (3) 3 (4) 2 (5) None

Directions (28-30): What will come in place of the question mark (?) in the following number series?

28. 311 300 278 245 201 146 ? (1) 70 (2) 90 (3) 80 (4) 110 (5) None

29. 17 22 32 47 67 92 ? (1) 112 (2) 132 (3) 111 (4) 122 (5) None

30. 3 123 183 213 228 235.5 ? (1) 238.25 (2) 239.25 (3) 275.50 (4) 238.50 (5) None

Directions (31-32): In the following number series only one number series only one number is wrong . Find out the wrong one .

31. 217 216 212 203 187 151 126 (1) 216 (2) 212 (3) 203

(4) 187 (5) 151

32. 11 16 23 29 37 46 56 (1) 16 (2) 23 (3) 29 (4) 37 (5) 46

Directions (33-34): What should come in place of question mark (?) in the following number series?

34. 320 285 257 236 222 ? (1) 215 (2) 208 (3) 301 (4) 211 (5) None

35. 5 9 17 33 65 ? (1) 127 (2) 9.7 (3) 129 (4) 87 (5) None

Directions (35-37): What will come in place of the question mark (?) in the following number series ?

36. 9 21 45 81 129 (?) (1) 187 (2) 199 (3) 177 (4) 189 (5) None

37. 652 428 316 260 232 (?) (1) 218 (2) 225 (3) 276 (4) 213 (5) None

Directions(38-40): What will come in place of the question mark (?) in the following number series ?

38. 7 11 20 36 61 (?) (1) 97 (2) 86 (3) 99 (4) 85 (5) None

39. 6 13 22 33 46 (?)

174


(1) 62 (2) 61 (3) 65 (4) 60 (5) None

40. 620 428 332 284 260 (?) (1) 246 (2) 258 (3) 262 (4) 240 (5) None

Directions ( 41:43): what will come in place of question mark (?) in the following number series ?

41. 7 11 19 35 67 (?) (1) 121 (2) 153 (3) 141 (4) 133 (5) None

42. 5 6 10 19 35 (?) (1) 55 (2) 72 (3) 67 (4) 52 (5) 71

43. 1 3 8 18 35 ? (1) 61 (2) 72 (3) 67 (4) 52 (5) 71

Directions (44-48) : What should come in the question mark(?) in the following number series ?

44. 36 37 46 71 ? 201 322 (1) 120 (2) 107 (3) 135 (4) 96 (5) None

45. 12 20 100 ? 8900 88900 888900 (1) 1000 (2) 900 (3)800 (4) 500 (5) None

46. 7 7 14 42 168 ? 5040 (1) 672 (2) 850 (3) 740 (4) 800 (5) None

47. 21 30 12 39 3 ? -6 (1) 66 (2) 12 (3) 48 (4) 75 (5) None

48. 10 24 52 ? 220 444 892 (1) 104 (2) 98 (3) 112 (4) 108 (5) None

Directions(49-53):What will come in place of the question mark (?)in the following number series?

49. 3 19 115 691 ? 24883 (1) 6923 (2) 4147 (3) 2719 (4) 1463 (5) None

50. 5 10 ? 80 160 (1) 30 (2) 60 (3) 40 (4) 50 (5) None

51. 10 11 14 19 26 ? (1) 40 (2) 25 (3) 39 (4) 27 (5) None

52. 1598 798 398 198 ? 48 (1) 56 (2) 74 (3) 68 (4) 98 (5) None

53. 5 10 15 20 25 ? (1) 35 (2) 40 (3) 25 (4) 20 (5) None

54. In the following number series, one number is wrong . which is the wrong number ?

11 13 19 26 35 46 59 (1) 19 (2) 46 (3) 13 (4) 35 (5)26

Directions(55 -57) What will come in place of the question mark(?) in the following series?

55. 3 4 13 38 87 ? (1) 178 (2) 188 (3) 158 (4) 186 (5) None

56. 150 148 144 136 120 ? (1) 89 (2) 86 (3) 88 (4) 83 (5) None

57. 11 16 26 41 61 ? (1) 68 (2) 72 (3) 78 (4) 86 (5) None

Directions (58–62) What will come in place of question mark (?) in the following series?

58. 27 28 32 41 57 82 ? (1) 116 (2) 112 (3) 118 (4) 119 (5) 117

59. 35 34.5 35.5 34 36 33.5 ? (1) 31 (2) 39 (3) 31.5 (4) 33 (5) None

60. 33 38 ? 63 83 108 (1) 47 (2) 46 (3) 43 (4) 48 (5) 49

61. 343 350 336 357 329 ? 332 (1) 354 (2) 364 (3) 33 (4) 39 (5) None

62. 1 2 5 10 17 26 ? (1) 35 (2) 37 (3) 33 (4) 39 (5) None

175


Direction (63- 65): What will come in place of the question mark(?) in the following number series?

63. 17 98 147 172 181 (?) (1) 180 (2) 192 (3) 184 (4) 182 (5) None

64. 11 19 31 47 67 (?) (1) 80 (2) 81 (3) 86 (4) 96 (5) None

65. 748 460 316 244 208 (?) (1) 180 (2) 190 (3) 172 (4) 182 (5) None

Directions(66-68): what will come in place of the question mark (?) in the following number series?

66. 9 20 42 75 119 (?) (1) 174 (2) 170 (3) 168 (4) 180 (5) None

67. 23 32 45 62 83 (?) (1) 116 (2) 106 (3) 102 (4) 118 (5) None

68. 17 23 35 59 107 (?) (1) 217 (2) 223 (3) 203 (4) 227 (5) None

Directions (69- 71): What should come in place of the question mark(?) in the following number series?

69. 9 41 57 65 69 ? (1) 73 (2) 75 (3) 72 (4) 76 (5) None

70. 7 10 16 25 37 ? (1) 55 (2) 52 (3) 51 (4) 57 (5) None

71. 430 422 395 331 ? (1) 208 (2) 210 (3) 209 (4) 206 (5) None

Directions (72-76): What should come in place of the question mark (?) in the following number series?

72. 17 18 22 31 47 ? (1) 72 (2) 77 (3) 83 (4) 68 (5) 65

73. 13 14 17 22 29 ? (1) 33 (2) 77 (3) 36 (4) 38 (5) 37

74. 6 8 4 12 -4 ? (1) 28 (2) -26 (3) 24 (4) -22 (5) 32

75. 222 198 178 162 150 ? (1) 148 (2) 142 (3) 144 (4) 150 (5)146

76. 53 318 1590 6390 19080 ? (1) 38165 (2) 38170 (3) 38160 (4) 38175 (5) 38106


77. 1 2 6 24 120 ? (1) 740 (2) 724 (3) 744 (4) 728 (5) 720

78. 323 312 299 284 267 ? (1) 248 (2) 244 (3) 242 (4) 246 (5) 238

79. 18 23 33 48 68 ? (1) 98 (2) 93 (4) 83 (4) 88 (5) 103

80. 783 747 722 706 697 ? (1) 695 (2) 691 (3) 693 (4) 696 (5) 692

81. 28 27.5 28.5 27 29 ? (1) 31.5 (2) 28 (3) 27.5 (4) 26 (5) 26.5


82. 600 564 539 523 514 ? (1) 500 (2) 520 (3) 510 (4) 540 (5) 515

83. 55000 11000 2200 440 88? (1) 16.4 (2) 18.3 (3) 17.6 (4) 14.5 (5) 12.7

84. 2 12 60 240 720 ? (1) 1445 (2) 1440 (3) 1420 (4) 1444 (5) 1448

85. 80 48 64 56 60 ? (1) 57 (2) 68 (3) 54 (4) 62 (5) 58

86. 32 38 50 68 92 ? (1) 118 (2) 128 (3) 124

176


(4) 122 (5) 116

Directions (87–89): What will come in place of The question mark (?) in the following number series?

87. 19 188 309 390 439 (?) (1) 492 (2) 462 (3) 464 (4) 454 (5) 494

88. 640 384 256 192 160 (?) (1) 142 (2) 146 (3) 154 (4) 134 (5) None

89. 13 19 26 34 43 (?) (1) 52 (2) 54 (3) 51 (4) 53 (5) None

Directions (90-92) :What will come in place of question mark (?) in the following number series?

90. 23 35 59 107 203 ? (1) 395 (2) 398 (3) 375 (4) 384 (5) None

91. 65 82 69 86 73 (?) (1) 60 (2) 90 (3) 93 (4) 70 (5) None

92. 7 11 27 63 127 (?) (1) 237 (2) 254 (3) 234 (4) 227 (5) None

Directions (93- 95): What will come in place of the question mark(?) in the following number series ?

93. 28 37 64 109 172 (?) (1) 253 (2) 265 (3) 234 (4) 246 (5) None

94. 23 439 647 751 803 (?) (1) 864 (2) 819 (3) 855 (4) 825 (5) None

95. 13 52 29 68 45 (?) (1) 97 (2) 74 (3) 84 (4) 76 (5) None

Directions ( 96-100): What Should come in place of the question mark(?) in the following number series?

96. 3 ? 6 18 72 360 2160 (1) 4.5 (2) 3 (3) 4 (4) 5.5 (5) None

97. 1520 760 380 190 95 47.5 ? (1) 23.75 (2) 22.25 (3) 24.75 (4) 21.25 (5) None

98. 4 7 11 18 29 ? 76 (1) 64 (2) 38 (3) 52 (4) 47 (5) None

99. 343 216 ? 64 27 8 1 (1) 144 (2) 100 (3) 125 (4) 136 (5) None

100. 2 13 67 ? 817 1639 1645 (1) 271 (2) 205 (3) 262 (4) 218 (5) None

Directions(101-105) : What should come in place of the question mark(?) in the following number series?

101. 8 52 ? 1287 4504.5 11261.25 16897.875 (1) 464 (2) 286 (3) 196 (4) 324 (5) None

102. 3 42 504 ? 40320 241920 967680 (1) 5848 (2) 3344 (3) 4736 (4) 5040 (5) None

103. 403 400 394 382 358 310 ? (1) 234 (2) 120 (3) 214 (4) 264 (5) None

104. 7 8 4 13 -3 22 ? (1) -7 (2) -10 (3)-12 (4) -14 (5)None

105. 250000 62500 12500 3125 625 ? 31.25 (1) 156.25 (2) 172.25 (3) 125 (4) 150 (5) None

Directions (106-110): What should come in place Of the question ,mark (?) in the following number series?

106. 2 14 84 420 1680 5040 ? (1) 8940 (2) 8680 (3) 10080 (4) 5030 (5) None

107. 3 5 13 21 34 ? (1) 62 (2) 57 (3) 55 (4) 74 (5) None

108. 27 125 ? 445 2676 (1) 88 (2) 77 (3) 52 (4) 64 (5) None

109. 27 125 ? 729 1331 2197 3375 (1) 612 (2) 347 (3) 216 (4) 343 (5) None

110. 10400 2600 650 ? 40.625 10.15625

177


2.5390625 (1) 175.5 (2) 162.5 (3) 154.75 (4) 156.25 (5) None

Directions(111-115): What should come in place of the question mark(?) in the following number series?

111. 2 26 286 ? 18018 90090 270270 (1) 2088 (2) 3667 (3) 2862 (4) 2574 (5) None

112. 358 356 352 344 328 296 ? (1) 232 (2) 237 (3) 227 (4) 245 (5) None

113. 8 ? 30 105 472.5 2598.75 16891.875 (1) 22 (2) 12 (3) 12 (4) 14 (5) None

114. 3 4 ? 21 85 110 326 (1) 9 (2) 11 (3) 12 (4) 16 (5) None

115. 50000 10000 2500 500 125 ? 6.25

(1) 55 (2) 25 (3) 60 (4) 33.5 (5) None

Directions(116-120): what should Come in place of the following number series ?

116. 2 16 112 672 3360 13440 ? (1) 3430 (2) 3340 (3) 40320 (4) 43240 (5) None

117. 4 9 19 ? 79 159 319 (1) 59 (2) 39 (3) 49 (4) 29 (5) None

118. 588 563 540 519 ? 483 468 (1) 500 (2) 496 (3) 494 (4) 490 (5) None

119. 121 ? 81 64 49 36 25 (1) 92 (2) 114 (3) 98 (4) 100 (5) None

120. 4000 2000 1000 500 250 125 ? (1) 80 (2) 65 (3) 62.5 (4) 83.5 (5) None

Directions(121-125): What should come in place of the question mark(?) in the following series?

121. 5 6 16 57 ? 1245

(1) 244 (2) 148 (3) 296 (4) 271 (5) None

122. 12 ? 168 504 1260 2520 (1) 96 (2) 59 (3) 61 (4) 48 (5) None

123. 4 9 29 ? 599 3599 (1) 117 (2) 347 (3) 258 (4) 174 (5) None

124. 177 170 159 146 ? 110 (1) 132 (2) 106 (3) 129 (4) 127 (5) None

125. 2 3 11 38 102 ? (1) 402 (2) 182 (3) 227 (4) 168 (5) None

Directions(126-128): What should come in place of the question mark(?) in the following number series?

126. 800 400 200 100 50 ? (1) 20 (2) 30 (3) 25 (4) 35 (5) None

127. 2 13 35 68 112 ? (1) 173 (2) 178 (3) 163 (4)167 (5) None

128. 650 601 565 540 524 ? (1) 512 (2) 514 (3) 511 (4) 515 (5) None

Directions (129-133): What should come in the place of the question mark(?) in the following number series?

129. 2 4 16 96 768 ? 92160 (1) 7680 (2) 7580 (3) 7608 (4) 7090 (5) 7860

130. 14 36 ? 300 894 2676 8022 (1) 101 (2) 102 (3) 103 (4) 104 (5) None

131. 5 8 13 20 ? 44 61 (1) 171 (2) 181 (3) 185 (4) 191 (5) 197

132. 11 16 31 56 91 136 ? (1) 171 (2) 181 (3) 185 (4) 191 (5) 197

133. 3 4 12 45 196 ? (1) 985 (2) 990 (3) 995

178


(4) 1000 (5) 1005

Directions(134-138):What should come in place of the question mark(?) in the following number series?

134. 17 19 23 29 37 ? (1) 46 (2) 49 (3) 47 (4) 48 (5) 45

135. 900 899 891 864 800 ? (1) 171 (2) 181 (3) 185 (4) 191 (5) 197

136. 4 32 224 1344 6720 ? (1) 171 (2) 181 (3) 185 (4) 191 (5) 197

137. 56 54 58 50 66 ? (1) 171 (2) 181 (3) 185 (4) 191 (5) 197

138. 655 637 622 610 601 ? (1) 598 (2) 593 (3) 595 (4) 597 (5) 594

answer key1. (3) 2. (3) 3. (5) 4. (5) 5. (3)6. (5) 7. (1) 8. (1) 9. (4) 10. (2)11. (2) 12. (4) 13. (1) 14. (4) 15. (1)16. (3) 17. (1) 18. (1) 19. (4) 20. (3)21. (2) 22. (5) 23. (1) 24. (5) 25. (1)26. (4) 27. (5) 28. (3) 29. (4) 30. (2)31. (5) 32. (2) 33. (1) 34. (3) 35. (4)36. (1) 37. (2) 38. (1) 39. (2) 40. (5)41. (5) 42. (3) 43. (1) 44. (1) 45. (2)46. (5) 47. (3) 48. (4) 49. (2) 50. (3)51. (5) 52. (4) 53. (5) 54. (3) 55. (5)56. (3) 57. (4) 58. (3) 59. (5) 60. (4)61. (2) 62. (2) 63. (4) 64. 6 65. (2)66. (1) 67. (5) 68. (3) 69. (5) 70. (2)71. (4) 72. (1) 73. (4) 74. (1) 75. (2)76. (3) 77. (5) 78. (1) 79. (2) 80. (3)81. 82. 83. 84. 85.86. 87. 88. 89. 90.91. 92. 93. 94. 95. 96. 97. 98. 99. 100.101. 102. 103. 104. 105.

106. 107. 108. 109. 110111. 112. 113. 114. 115.116. 117. 118. 119. 120.121. 122. 123. 124. 125.126. 127. 128. 129. 130.131. 132. 133. 134. 135.136. 137. 138. 139. 140.

179


251. If 22.5 m of a uniform rod weighs 85.5kg. What

will be the weight of 6m of the same rod? (1) 22.8kg (2) 25.6kg (3) 26.5kg (4) 28 kg

2. On a scale of map 1.5 cm represents 24km. If the distance between two points on the map is 76.5 cm, the distance between these points is:

(1) 1071km (2) 1224 km (3) 1377 km (4) None

3. 6 dozen eggs are bought for Rs. 48. How much will 132 eggs cost?

(1) Rs. 78 (2) Rs. 80 (3) Rs. 82 (4) Rs. 88

4. In a race, Raghu covers 5km in 20 minutes how much distance will be cover in 50 minutes?

(1) 10.5 km (2) 12 km (3) 12.5 km (4) 13.5 km

5. 16 men can reap a field in 30 days. In how many days will 20 men reap the field?

(1) 25 days (2) 24 days (3) 102/3 days (4) 37 ½ days

6. 40 men take 8 days to earn Rs. 2000. How many men will earn Rs. 200 in 2 days?

(1) 10 (2) 12 (3) 14 (4) 16 5. None

7. 8 men working for 7 hrs a day complete a piece of work in 20 days. In how many days can 7 men working form 10 hrs a day complete the same piece of work?

(1)20 days (2)16 days (3)12 days (4)21 days

8. If 5 spiders can catch 5 files in 5 minutes, how many files can 100 spiders catch in 100 minutes?

(1) 200 (2) 500 (3) 1000 (4) 2000

9. If 10 men can catch 10 files in 10 days, how many files can 20 men catch in 20 day?

(1) 20 (2) 50 (3) 10 (4) 40

10. If 3 persons weave 336 shawls in 14 days how

LeVeL - 1

many shawls will 8 persons weave in 5 days? (1) 180 (2) 210 (3) 252 (4) 320

11. In a hospital there is a consumption of 1350 litres of milk for 70 patients for 30 days. How many patients will consume 1710 litres of milk in 28 days?

(1) 59 (2) 85 (3) 95 (4) 105

12. A contract is to e completed in 46 days and 117 men were set to work each working 8 hours a day. After 33 days, 4/7 of the work is completed. How many additional men may be employed so that the work may be completed in time, each man now working 9 hrs a day?

(1) 80 (2) 81 (3) 82 (4) 63

13. 3 men or 5 women can finish a piece of work in 12 days. How long will 6 men and 5 women take to finish the work?


14. If 12 men or 18 women can do a piece of work in 14 days, how long will 8 men and 16 women take to finish the work?


15. 10 women can complete a piece of work in 8 days and 10 children take 12 days to complete it. How many days will 6 women and 3 children together take to complete the work?


16. 2 men and 7 boys can do a piece of work in 14 days; 3 men and 8 boys can do the same in 11 days. 8 men and 6 boys can do of this work in:


17. 6 men and 8 boys can do a piece of work in 10 days. 26 men and 48 boys can do same in 2 days. 15 men and 20 boys can do of this work in day:


Unitary Method

180


18. 2 men and 3 boys can do a piece of work in 10 days, 3 men and 2 boys can do same in 8 days. 2 men and 1 boys can do of this work in days:

(1) 120½ days (2) 18 days (3) 24 days (4) 36 days

19. In barrack of soldiers there was stock of food for 190 days for 4000 soldiers. After 30 days 800 soldiers left the barrack. For how many days shall the left over food last for the remaining soldiers?


20. A garrison of 500 men had provisions for 27 days. After 3 days a reinforcement of 300 men arrived. The remaining food will now last for how many days?

(1) 15 (2) 16 (3) 17 ½ (4) 18

21. A garrison of 200 men had provisions for 50 days. After 5 days a reinforcement of 100 men arrived. The remaining food will now last for how many days?

(1) 25 (2) 36 (3) 30 (4) 28

22. If 4/5th of a cistern is filled in 1 mi. how much more time will be required to fill rest of it?

(1) 20 sec (2) 15 sec (3) 12 sec (4) 10 sec

23. The Qutab miner casts a shadow 150m long after the same time when the Vikash casts a shadow 120 m long on the ground. If the height of the Vikash Miner is 80 m, what is the height of the Qutab Miner ?

(1) 100 m (2) 120 m (3) 150 m (4) 180 m

24. 20 pipes of the same diameter can fill a tank on 24 minutes. If 4 pipes go out of order, how long will the remaining pipes take to fill tank?

(1) 40 min (2) 45 min (3) 30 min (4) 19 1/5 min

25. 8 men can finish a piece of work in 40 days. If 2 more men join with them, then the work will be completed in


26. 25 men can reap a field in 20 days. When should 15 men leave the work if the whole field is to be

reaped in 37 1/2 days after they l e a v e t h e work?

(1) After 3 days (2) After 4 days (3) After 5 days (4) After 6 days

27. A man and a boy working together can complete a work in 24 days. If for the last 6 days man alone does the work, the work then it is completed in 26 days. How long will the boy take to complete the work alone?


28. Two persons can complete a piece of work in 9 days. How many more persons are needed to complete double the work in 12 days?

(1) 1 (2) 2 (3) 3 (4) 4

29. 400 persons working 9 hrs per day complete 1/4th of the work in 10 days. The number of additional persons, working 8hrs per day required to complete remaining work in 20 days, is:

(1) 225 (2) 250 (3) 275 (4) 675

30. A contractor employed 30 men to do a piece of work in 38 days. After 25 days, he employed 5 men more and the work was finished one day earlier. How many days he would have been behind, if he had not employed additional men

(1) 1 day (2) 1 ¼ days (3) 1 ½ days (4) 1 ¾ days

answer key1. (1) 2. (2) 3. (4) 4. (3) 5. (2)6. (4) 7. (2) 8. (4) 9. (4) 10. (4)11. (3) 12. (2) 13. (1) 14. (1) 15. (3)16. (1) 17. (2) 18. (1) 19. (2) 20. (1)21. (3) 22. (2) 23. (1) 24. (3) 25. (2)

181


26Directions (1-8): Forthetwogivenequations1andII.Giveanswer(1)ifpisgreaterthanq.Giveanswer(3)Ifpisequaltoq.Giveanswer(4)ifpiseitherequaltoorgreaterthanq.Giveanswer(5)ifpiseitherequaltoorsmallerthanq.

1. I. p3 +5p + 6 = 0 II. q2+3q+2=0

2. I.p2 =4 II. q2 +4q = - 4

3. I.p2 +p = 56 II. q2-17q+72=0

4. I.3p÷2q-58=0 II.4q+4p=92

5. I.3p2 + 17p + 10 = 0 II. 10q2+9q+2=0

Directions (6-10) : Ineachofthefollowingquestionstwoequationsaregiven.YouhavetosolvetheequationsandGiveanswer(1)ifx<yGiveanswer(2)ifx< yGiveanswer(3)Ifx=yGiveanswer(4)ifx> yGiveanswer(5)ifx>y

6. I. 4x2–8x+3=0 II.2y2 -7y +6= 0

7. I. x2+x-6=0 II.2y2–13y+21=0

8. I. x2–x-6=0 II.2y2+13y+21=0

9. I. x2 = 4 II. y2 + 6y + 9 = 0

10. I.2x+3y=4 II.3x+2y=11

Directions (11-18): InotherofthefollowingquestionstwoequationsIandII.aregiven.YouhavetosolveboththeequationsandGiveanswerit(1) x>y (2)x< y(3) x<y (4)x> y(5) x = y or relationship between x and y cannot be

established:

11. I.4x+2y=51 II.15y+13x=221

12. I.8x2+3x=38 II.6y2+34=29y

13. I.x2+91=20x II.10y2–29y+21=0

14. I. 6x2+13x+5=0 II.9y2+22y+8=0

15. I.(x+y)2=784 II.92551=92567–y

LeVeL - 1

16. If4x+5y=83and thenwhatisthevalueofy-x?

(1)3 (2)4 (3)7 (4)11 (5)Noneofthese

Directions (17-21):InthefollowingquestionstwoequationsnumberedIandIIaregiven.Youhaveto0solveboththeequationsand Giveanswer(1)ifX>Y Giveanswer(2)ifX>Y Giveanswer(3)IfX<Y Giveanswer(4)IfX<Y Giveanswer(5)IfX=Y Ortherelationshipcannotbeestablished

17. I. x2- 14x + 48 = 0 II. y2 + 6 = 5y

18. I. x2+7y+12=0 II.y2+7y+12=0

19. I. x2=529 II.y=

20. I.x2+13x=-42 II.y2+16y+63=0

21. I.2x+3y=14 II.4x+2y=16

22. If3y+9x=54and thenwhatisthevalueofy-x?

(1)-1 (2)-2 (3)2 (4)1 (5)Noneofthese

Directions (23-27) : In the following questions twoequationsnumberedIandIIaregiven.YouhavetosolveboththeequationsandGiveanswer(1)ifX>Y Giveanswer(2) IfX>Y Giveanswer(3) IfX<Y Giveanswer(4) IfX<Y Giveanswer(5) Ifx=yortherelationship

cannotbeestablished.

23. I.x2 – 1= 0 II. y2+4y+3=0

24. I.X3–371=629 II.y2-12y+32=0

25. I.x3-371=629 II.y3-543=788

Quadrtric equation

182


26. I.5x+2y=31 II.3x+7y=36

27. I.2x2+11x+12=0 II.5y2+27y+10=0

Directions (28-32): In the following questions twoequationsnumberedIandIiaregiven.Youhavetosolveboththeequationsand Giveanswer(1) ifX>Y Giveanswer(2) ifX>Y Giveanswer(3) IfX<Y Giveanswer(4) IfX<Y Giveanswer(5) If x=yor the relationship


28. I.2x2 + 11x + 14 = 0 II. 4y2+12y+9=0

29. I.x2–4=0 II.Y2 + 6y + 9 =0

30. I.x2–7x+12=0 II.y2+y–12=0

31. I.X2=729 II.y=

32. I.x4-227=398 II.y2+321=346

Directions (33-37): In the following questions twoequationsnumberedIandIIaregiven.Youhavetosolveboththeequationsand Giveanswer(1) ifX>Y Giveanswer(2) ifX>Y Giveanswer(3) IfX<Y Giveanswer(4) IfX<Y Giveanswer(5) IfX=yor the relationship


33. I.x2-x-12=0 II.y2 + 5y + 6 = 0

34. I.x2- 8x + 15 = 0 II. y2-3y_2=0

35. I.x2-32=112

36. II.y- = 0

37. I.x2 -16 = 0 II. y2-9y+20=0

Directions (38-42): In the following questions twoequationsnumberedIandIIaregiven.Youhavetosolveboththeequationsand_______ Giveanswer(1) ifX>Y Giveanswer(2) ifX>Y Giveanswer(3) IfX<Y Giveanswer(4) IfX<Y Giveanswer(5) Ifx=yortherelationship Cannotbeestablished

38. I.3x2 + 8x + 4 = 0 II. 4y2–19y+12=0

39. I.x2+X–20=0 II.y2–y-30=0

40. I. x2–365=364 II.y-

41. I. II. y2 – = 0

42. I.225x2 – 4 = 0 II. +2=0

Directions (43-47): In the following questions twoequationsnumberedIandIIaregiven.Youhavetosolveboththeequationsand Giveanswer(1) ifX>Y Giveanswer(2) ifX>Y Giveanswer(3) IfX<Y Giveanswer(4) IfX<Y Giveanswer(5) ifX=yortherelationship Cannotbeestablished

43. I.5x2–18x+9=0 II.20y2–13y+2=0

44. I. x3-878=453 II.Y2-82=39

45. I. II. y3 – = 0

46. I. 9x – 15.45 = 54.55 + 4x

II.

47. I. x2+11x+30=0 II.y2+7y+12=0

Directions (48-52): InthefollowinglowingquestionstowequationsnumberedIandIIaregiven.Youhavetosolveboththeequationsand Giveanswer(1) ifX>Y Giveanswer(2) ifX>Y Giveanswer(3) IfX<Y Giveanswer(4) IfX<Y Giveanswer(5) ifX=yortherelationship Cannotbeestablished

48. I. = 0 II. y3 – = 0

49. I.3x-2y=10 II.5x-6y=6

50. I. x2 + 9x + 18 = 0 II. y2–13y+40+0

51. I. x2 + 9x + 18 = 0 II. y2–13y+40=0

52. I. II. y2+112=473

183


Directions : (53-57): In the following questions twoequationsnumberedIandIiaregiven.Youhavetosolveboththeequationsand___ Giveanswer(1) ifX>Y Giveanswer(2) ifX<Y Giveanswer(3) IfX<Y Giveanswer(4) IfX>Y Giveanswer(5) ifX=yortherelationship Cannotbeestablished

53. I.x2–1200=244 II.y+122=159

54. I.14x–25=59–7x II.

55. I. 144x2-16=9 II.12y+

56. I. x2-9x+20=0 II.y2–13y+42=0

57. I. II.

58. If2x+3y=78and3x+2y=72,whatisthevalueofx+y?

(1)36 (2)32 (3)30 (4)Cannotbdetermined(5)Noneofthese

Directions (59-63): In the following questions twoequationsnumberedIandIIaregiven.Youhavetosolveboththeequationsand Giveanswer (1)Ifx>y (2)ifxe”y (3)ifx<y (4)Ifxd”y (5) If x = y or the relationship cannot be

Established

59. I.20x2–x–12=0 II.20y2+27y+9=0

60. I. x2-218=106 II.y2–27y+342=0

61. I. II. y2- = 0

62.I. = 0 II. + 4 = 0

63. I. II.

Directions ( 63-68): InthefollowinglowingquestionstwoequationsnumberedIandIIaregiven.YouhavetosolveboththeequationsandgiveanswerIf

(1)x>y (2)x> y (3)x<y (4)x< y (5)x=yortherelationshipcannotbeestablished

64. I. II. y2+409=473

65. I. x2–7x+12=0 II.Y29y+20=0

66. I. y2 – x2=32 II.y–x=2

67. I. = 0 II. y3 – 5(3/2) = 0

68. I.3x+5y=28 II.8x-3y=42

Directions (69-73): inthefollowingquestionstwoequationnumberedIandIIaregiven.YouhavetosolveboththeequationsandgiveanswerIt 1)x>y (2)x> y (3)x<y (4)x< y (5)x=yortherelationshipcannotbeestablished

69. I. = 0 II. +10 = 0

70. I. 8x2-78x+169=0 II.20y2- 117y + 169 = 0

71. I. II.

72. I. II. y3- = 0

73. I.x2-208=233 II.y2-47+371=0

Directions: (74-78): In the following questions twoequationsnumberedIandIIgiven.Youhavetosolveboththeequationsandgiveanswerif (1)x>y (2)xe”y (3)x<y (4)xd”y (5)x=yortherelationshipcannotbeestablished

74. I. x2-11x+24=0 II.2y2 -9y + 9 = 0

75. I . x3x13=x2x247 II.y1/3x14=294÷y2/3

76. I. - = x10/7 II. y3+783=999

184


77. I.x+=0 II.+(200)1/2 = 0

78. I.(17)2+144÷18=x II.(26)2–18x21=y

Directions (79:83): In each of these questions, twoequationsaregiven.Youhavetosolvetheseequationsandfindoutthevaluesofxandyandgiveanswerif (1)x>y (2)xe”y (3)x<y (4)xd”y (5)x=y

79. I. 16 x2+20x+6=0 II. 10 y2+38y+24=0

80. I. 18x2+ 18x + 4 = 0 II.12y2+29y+14=0

81. I. 8x2+6x=5 II.12y2-22y+8=0

82. I.17x2+48x=9 II.13y2=32y–12

83. I.4x+7y=209 II.12x–14y=-38


84. I. - + = II.9.84-2.64=0.95+y2

85. I. + = 0 II.(357)1/4y+(217)1/3= 0

86. I. = x3

II. 7y3=-(15x2)+17y2

87. I. (x1/4+16)2=144÷x3/2 II. y1/3 xy2/3x3104=16xy2

88. I.3x2–19x+28=0 II. 5y2- 18y + 16 = 0

Directions: (89-93): In the following questions twoequationsnumberedIandIIgiven.Youhavetosolveboththeequationsandgiveanswerif (1)x>y (2)xe”y (3)x<y (4)xd”y

(5)x=yortherelationshipcannotbeestablished

89. I. x + = 0 II.(81)1/4y+(343)1/3 = 0

90. I. + - = II. y2 + 9.68 + 5.64 + 16.95

91 I. = x3

II. 4y3=-(589+4)+5y3

92. I.12x2+11x+12=10x2+22x II.13y2-18y+3=9y2- 10y

93. I.(x+9)=169+x II.yxyx7=273+y


94. I. 2–125=0 II.+95+0

95. I. - = II. + =

96. I.(625)x+II.+13=279

97. I. 5x2–18x+9=0 II.3y2+5y–2=0

98. I. + = II. y4 – 9/2=0


99. I. x2 – 19x + 84 = 0 II. y2–25y+156=0

100. I. x2–468=1729 II.y2–1733+1564+0

answer key1. (5) 2. (4) 3. (2) 4. (1) 5. (2)6. (2) 7. (1) 8. (5) 9. (5) 10. (5)11. (1) 12. (2) 13. (1) 14. (5) 15. (3)16. (2) 17. (1) 18. (4) 19. (5) 20. (2)

185


21. (3) 22. (2) 23. (2) 24. (4) 25. (3)26. (1) 27. (5) 28. (3) 29. (1) 30. (2)31. (4) 32. (5) 33. (2) 34. (1) 35. (3)36. (1) 37. (4) 38. (3) 39. (4) 40. (4)41. (5) 42. (5) 43. (1) 44. (2) 45. (5)46. (5) 47. (3) 48. (5) 49. (1) 50. (4)51. (3) 52. (2) 53. (5) 54. (1) 55. (5)56. (3) 57. (5) 58. (3) 59. (2) 60. (4)61. (5) 62. (3) 63. (1) 64. (5) 65. (4)66. (3) 67. (5) 68. (1) 69. (3) 70. (2)71. (1) 72. (5) 73. (5) 74. (2) 75. (3)76. (5) 77. (3) 78. (3) 79. (2) 80. (2)81. (3) 82. (1) 83. (5) 84. (2) 85. (1)86. (1) 87. (3) 88. (1) 89. (1) 90. (3)91. (1) 92. (2) 93. (5) 94. (1) 95. (3)96. (1) 97. (1) 98. (3) 99. (4) 100. (2)

186


1. A is 50% more efficient than B. A can do a work in 25day. Working together Both of them can together Complete 75% of work in how many days ?

(1) 10 day (2) 14 day (3) 11¼ day (4) 10days

2. A tank has leak which would empty it in a 8 hrs. A tap is turned on Which admits 6liter water a minute into a tank and it is now emptied in 12hrs. How many litre does the tank hold ?

(1) 8260 litre (2) 8450 litre (3) 8646 litre (4) 8660 litre

3. If 2 pipes function simultaneously. The reservior will be filled in 6 hour one pipe fills the reservoir 5 hour. Faster than the other. How many hours does the faster pipe take to till the reservoir ?

(1) 8 hrs (2) 10 hrs (3) 12hrs (4) can’t be determined

4. Two trains are moving in the same direction at 50km/hr and 30km/hr. The faster train crossed a man who is sitting in the slower train in 18 second. Find the length of faster train ?

(1) 80 m (2) 90 m (3) 100 m (4)Can’t be determined

5. A train passed two person who are walking in the opposite direction in which the train is moving at the rate of 5m/s and 10m/s in 6seconds and 5 seconds respectively . find the length of train.

(1) 125m (2) 150m (3) 160m (4) 170m

6. If a boat takes 4 hours to cover a distance of 8km upstream while the speed of the stream is 1.5 km/hr what is the speed of boat in still water?

(1) 4 km.hr (2) 6.5km/hr (3) 8.5 km/hr (4) 2.5 km/hr

7. A Boat covers 12 km up stream and18km downstream in 3hrous While it covers 36 km upstream and 24 km downstream what is the velocity of the stream ?

teSt - 1

(1) 1.5km/hr (2) 1km/hr (3) 2km/hr (4) 2.5km/hr

8. A man can now 30km upstream and 44km downstream in 10 hr. Also he can row40km upstream and 55km downstream in 13hrs. find the rate of the current and speed of the man in still water?

(1) 8,3 (2) 3,8 (3) 4,8 (4) 2,3

9. Mr. Gapalu has to multiply 2 number together but she uses 53 instead f 35 in this product , and finds that the product has increased by 540. What is this increased product ?

(1) 1050 (2) 540 (3) 1440 5) 1590

10. Consider four digit no for which the first 2 digits are equal and the last 2 digit are also equal. How many such numbers are perfect square ?

(1) 3 (2) 2 (3) 0 (4) 1

11. I sold three fourth of the quantity at a profit of 12% and the remaning at a loss of 24% what is my average profit or loss percentage ?

(1) 3% loss (2) 3%profit (3) 12% profit (4) 7% loss

12. The average temperature for Monday Tuesday and Wednesday was X°c. The average for Tuesday .Wednesday and Thursday was Y°C( given Y > X ). If the temperature on Thursday was 42°c. Find the temperature on Monday ?

(1) 42 + 3 (Y-X) (2) 42 -3 (Y-X) (3) 42 + 3 ( Y + X) (4) 42 - 3 (Y + X)

13. A milk vendor’a customer demand milk in the following quantaties 1000ml, 1600ml, 2800ml, 600ml, if he wants to use a single measuring cup, what size should it be ?

(1) 100 (2) 200 (3) 300 (4) 400

14. Which is Bigger:- 31 x 32 x 33 x 34 x 35 or 32 x 33 x 34 x 35 x 36

15. The age of father is 50% more than the age of his son. After 10 years, the father age remains 40% more than the son age. The present age in years are:-

Model test Paper

187


(1) 40 (2) 20 (3) 70 (4) 60

16. Virat Kohli scored 87 runs in the 17th innings and increase his average by 3. Find the average of kohli after this innings ?

(1) 51 (2) 36 (3) 39 (4) Can’t be determined

17. The average of certain first even consequetive no is 106. Find the sum of all the even number in that range ?

(1) 11230 (2) 11430 (3) 11130 (4) 5600

18. 28% of a group are married . 40% of a people are woman. 60% men are unmarried. What is the ratio of the married men and Unmarried woman ?

(1) 1:2 (2) 3:2 (3) 6:1 (4) 2:3

19. Ajay gave 28 % of his in come to his wife 50% of the remaining to his son and 75% of the further to his daughter. He is now left with Rs 11700. What is the original amount that he had ?

(1) 14000 (2) 1,30,000 (3)1,25,000 (4) 13000

20. In an examination a student scored 30% marks in the paper and fail by 20 marks. Second student scored 40% marks in the paper and got 30 marks more than passing marks. The pass% is

(1) 24% (2) 66% (3) 34% (4) 28%

21. A square is converted into rectangle by increasing one of it’s sides by 5% and reducing theother by5 %what will be the % change in the area of two figures?

(1) 1% (2) 0.025% (3) 0.25% (4) 25%

22. A sum of Rs 3800 is lent out in 2 parts in such a way that the interest on one part at 8% for 5 years is equal to that on another part at for 15years. Find the sum lent out at 8 % is ?

(1) 3200 (2) 600 (3) 1600 (4) 2400

23. The simple interst on a sum of money will be 300 after 5 years. In the next 5 years. Principle is trebled, what will be the total amount after 10years ?

(1) 600 (2) 1200 (3) 500 (4) 2400

24. At a certain rate of simple interest 800 amounted to 920 in 3years , if the rate of interest be increased by 3% what will be the amount of 3 years ?

(1) 961 (2) 992 (3) 980 (4) 940

25. At certain rate of compound interest, A sum of

money Double itself in 9 years . In how many years it will become 32 times ?

(1) 40 (2) 45 (3) 256 years (4) can’t be determined

26. Orange are bought at 11 for a rupee and equal no more at 9 for a rupee . If these are sold at 10 for a rupee , find the loss or gain %.

(1) 1% profit (2) 1% Loss (3) No profit no loss (4) Can’t be determined

27. The price of sugar fall down by 20% and a house wife is able to buy 5 kg more for Rs. 100. Find the original cost price of a sugar in Rs/per kg.

(1) 8 (2) 9 (3) 6 (4) 5

28. A person travel 340km in 8hrs. The first part of journey. He travel by car at a speed of 50km/hr and second part by train at the speed of 38km/hr. How many km did he travel by car ?

(1) 120km (2) 190km (3) 150km 40 210km

29. If a student walks from his house to school at 8km/hr, he is late by 10min However , if he walks at 10km/hr. he is before by 5min. find it’s usual time to cover journey.

(1) 55min (2) 65min (3) 45min (4) 60min

30. A merchant lent out Rs 6440 in a2 parts one at 8% and the other at 12% interest. If the yearly average interest comes out to be 9% Find the amount lent at 12% interest?

(1) 1610 (2) 4830 (3) 2640 (4) 3610

31. A bag contains Rs 410 in the form of Rs.5, Rs 2 and 1 coins –The number of coins are in ratio of 4:6:9. Find the number of Rs 2 coins

(1) 40 (2) 50 (3) 60 (4) 70

32. One alloy contains lead and tin in the ratio 5:1 another alloy contains lead and tin in the ratio of 7:2 what weight of the alloy Should be melted to from a third alloy weighing 100kgs with 20% tin ?

(1) 60kg, 40kg (2) 40kg, 60kg (3) 20kg, 30kg (4) None

33. At what rate percent of compound interest does a sum of money becomes times of itself in 2 years?

(1) 20% (2) 30% (3) 40% (4) 50%

34. Four years ago, the ratio of A’S age to B’S age was 11:14 and four year later their age will be in the

188


ratio 13:16 . the present age of A is. (1) 48 (2) 26 (3) 44 (4) 128

35. Find the least no of complete years in which sum of money put out at 20% compound interest will be more than double ?

(1) 1 year (2) 2year (3) 3year (4) 4year

189


1. The H.C.F of two numbers is 11 and their L.C.M is 7700. If one of the numbers is 275, then other is:

(1) 279 (2) 283 (3) 308 (4) 318

2. 783 * 783 * 783 + 217 * 217 * 217 783 * 783 – 783 *217 + 217 *217 (1) 1000 (2) 1100 (3) 100 (4) 566

3. A boy was asked to multiply a number by 12. By mistake he multiplied the number by 21 and got his answer 63 more than the correct answer. The number was:

(1) 7 (2) 8 (3) 9 (4) 12

4. The average age of 24 boys and their teacher is 15 years. When the teacher’s age is excluded the average age decreased by 1 year. The age of the teacher is


5. Ashok gave 28% of his income to his wife. 50% of the remaining to his son and 75% of the further remainder to his daughter. He is now left with Rs 11700/-. What is the original amount that he had.

(1) 14000 (2) 130000 (3) 125000 (4) 13000

6. The cost of 10 pens is equal to selling price of 12 pens. What is the profit or loss % incurred ?

(1) 25% (2) 20% (3) 16.67% (4) 15%

7. If A:B=1:3, B:C=5:7,C:D=9:7 , then A:B:C:D=? (1) 15:45:63:49 (2) 5:49:45:63 (3) 45:15:63:49 (4) 49:15:45:63

8. If A:B = 83:

21

, B:C = 95:

31

and C:D = 43:

65

, then A:B:C:D=?

(1) 3:2:4:5 (2) 6:8:9:10 (3) 8:6:10:9 (4) 2:3:4:5

9. 4,9 find mean proportion ? (1) 6 (2) 8 (3) 12 (4) 36

10. A,B and C invested Rs. 26000, Rs. 34000 and Rs. 10000 respectively in a business. At the end of the year, they earn a profit of Rs. 3500. B’s share of

teSt - 2

profit is: (1) Rs. 1200 (2) Rs. 1500 (3) Rs. 1700 (4) Rs. 1900

11. In what ratio, tea at Rs. 90 per kg should be mixed with another tea at Rs. 120 per kg to get a tea of Rs. 100 per kg

(1) 2 : 1 (2) 3 : 1 (3) 3 : 2 (4) 4 : 3

12. Find the area of a rectangle of whose length and breadth is 30 m and 25 m long.

(1) 650 m2 (2) 750 m2 (3) 870 m2 (4) None

13. One side of a rectangle field is 8 m and one of its diagonals is 17 m. find area of field.

(1) 150 m2 (2)130 m2 (3) 120 m2 (4) None

14. A can do a piece of work in 10 days while B alone can do it in 15 days. Both A and B working together can finish the work in:


15. 8 women can complete a piece of work in 15 hours. In how many hours will 12 women complete the same piece of work?

(1) 12 (2) 6 (3) 8 (4) 10

16. A.& B together can paint a house in 8 days. A alone can paint it in 20 days. In how many days can B alone paint the house?

(1) 3113

days (2) 12 days

(3) 13 days (4) 3212

days17. 16 men can complete a piece of work in 7 days. In

how many days will 28 men complete the same work?


18. A can do 31

of work in 5 days and B can do 52

of the work in 10 days. In how many days both A and B together can do the work?

(1) 437

(2) 548

(3) 839

(4) 10

19. Two pipes can fill a tank in 20 minutes and

Model test Paper

190


30 minutes. If both the pipes are opened simultaneously, then the tank will be filled in

(1) 10 min (2) 12 min (3) 15 min (4) 25 min

20. At a certain rate of simple interest Rs 800 amounted to Rs 920 in 3 years. If the rate of interest be increased by 3%, what will be the amount after 3 years?

(1) Rs 1080 (2) Rs 992 (3) Rs 972 (4) Rs 1024

21. How much time will it take for a sum of Rs. 450 to yield Rs. 81 as interest at 4.5% per annum of simple interest?

(1) 3.5yrs (2) 4 yrs (3) 4.5 yrs (4) 5 yrs

22. Find compound interest on Rs 6250 at 8% p. a. for 2 years.

(1) 1000 (2) 1050 (3) 1040 (4) 1100


(1) 610 (2) 600 (3) 620 (4) 310


(1) 467 (2) 567 (3) 268 (4) 368

25. A person starting from his house covers a distance at 15 km/hr and returns to the starting place at 10 km/hr. His average speed during whole journey is

(1) 11 km/hr (2) 12 km/hr

(3) 7 21

km/hr (4) 13 km/hr

26. Walking 3/4 of his usual speed, a person is 10 min late to his office. Find his usual time to cover the distance.

(1) 30 min (2) 50 min (3) 40 min (4) 25 min

27. Walking at 7/8 of its usual speed, a train is 10 minutes too late. Find its usual time to cover the journey.

(1) 60 min (2) 70 min (3) 50 min (4) 40 min

28. 3 persons A,B and C covers a distance at 10 km/

hr ,12 km/hr and 15 km/hr. the average speed is: (1) 11 km/hr (2)12 km/hr (3) 7 km/hr (4) 3 km/hr

29. A man completes 30 km of a journey at 6 km/hr and the remaining 40 km of the journey in 5 hours. His average speed for the whole journey is

(1) 6 114

km/hr (2) 7 km/hr

(3) 7 21

km/hr (4) 8 km/hr

30. A student walks from his house at 10 km/hr and reaches his school late by 6 minutes. Next day, he increases his speed to 15 km/hr and reaches 4 minutes before school time. How far is the school from his house?

(1) 12 km (2) 8 km (3) 5 km (4) 10 km

191


1. The average weight of A, B and C is 84 kg. If D join the group , the average weight of the group becomes 80kg. if another man E whose weight is 3 kg more than D replaces A, then the average of B, C,D and E becomes 79 kg. What is the weight of A ?

(1) 70 (2) 75 (3) 69 (4) 83

2. The simple interest on a certain sum of money for 4 year at 4% P,A. exceeds the C.I . on the same sum for 3 years at 5% P.A. by 57. Find the sum.

(1) 22000 (2) 24000 (3) 26000 (4) 29000

3. A and B enter into a partnership with capital in the ratio 5:6 at the end of 8 months, A withdraw his capital. If they receive profits in the ratio 5:9, find how long B’s capital was used ?

(1) 7 (2) 9 (3)12 (4) 3

4. The tax on a commodity is diminished by 20% and its consumption increases by 15% the effect on revenue is ?

(1) 5% (2) 6% (3) 8% (4) 92%

5. In measuring the sides of a rectangle, one side is taken 5% in excess and the other 4% in deficit. Find the error percent in area calculated from the measurement .

(1) (2) (3) (4)

6. A man buys 5 hores and 7oxen for Rs.5850 . He sells the horses at a profit of 10% and oxen at a profit of 16% and whole gain is Rs. 711. What price did he pay did he pay for a horse

(1) 650 (2) 750 (3) 800 (4) 240

7. By selling oranges at 32 a rupee , a man Loses 40%. How many for a rupee should be sold in order to gain 20%?

(1) 10 (2) 16 (3) 20 (4) 25

8. Suresh purchased a horse at th of its selling price at sold it at 8% more than its selling price. Find his gain percent.

teSt - 3

(1) 15 (2) 20 c) 18 d) 24

9. A man sells an article at 5% profit if he had bought it at 5% less and sold it for 1 less, he would have gained 10% . find the cost price.

(1) 150 (2) 200 (3) 420 (4) 180

10. The ratio of the diagonals of two squares is 2:1 find the ratio of their areas.

(1) 1:4 (2) 4:1 (3) 3:1 (4) 5:3

11. Ramesh borrows 7000 from a bank as S.I. after 3 years, he paid 3,000 to the bank and at the end of 5 year from the date of borrowing , he paid 5,450 to the bank to settle the account. Find the rate of interest.

(1) 3% (2) 5% (3) 8% (4) 9%

12. A buttler stores win from a butt of sherry which contained 30% of the spirit and he replaced with he had stolen by wine containing only 12% of the spirit . The butt was then 18% strong only. How much of the butt did he steal ?

(1) (2) (3) (4)

13. A dishonest milkman profess to sell his milk at C.P. but he mixes it with water and therenby gains 25% . the percentage of water in the mixture is ?

(1) 20 (2) 25 (3) 15 (4) 30

14. A pipe can fill a tank in 12 mintues and another pipe in 15 minutes but a third pipe can empty it in 6 mintues. The first two pipes one kept open for 5 mintues in the beginning and then the third pipe is also opened . In what time is the cistern empted ?

(1) 10 (2) 12 (3) 18 (4) 24

15. What was the day of the week on 16th july ,1776? (1) Wednesday (2) Tuesday (3) Monday (4) Friday

16. Two pipes can fill a cisten in 14 hrs and 16hrs reap. Two pipes are opened simultaneously and it is found that due to leakage in the bottom , 32 minutes exta are taken for the cistern to be filled

Model test Paper

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up. If the cistern is full, in what. Time would the leak empty it ?

(1) 19hrs (2) 102hrs (3) 106hrs (4) 112hrs

17. Four hores are tethered at four corners of a square plot of side 28 m. so that they just cannot reach one another. The ungrazed area is

(1) 162 m2 (2) 164 (3) 168 (4) 178

18. A farmer wishes to start a 100sq.m rectangular vegetable garden.since , he has only 30m barbed wise , he fences three sides of the garden betting his house compound was act as the fouth side house compound was act as the fourth side fencing. The dimension of garden is

(1) 15m x 6.67m (2) 20m x 5m (3) 30m x 3.33m (4) 40m x 2.5m

19. Ravi and Ajay start simultaneously from the same place A for B, 60kn a part. Ravi’s speed is 4 km/h Less than that of Ajay. Ajay, after reaching B, returns and meets Ravi at a place 12km away from B. Ravi’s speed is ?

(1) 12km/h (2) 10km/h (3) 8km/hr (4) 6km/h

20. A sum of money amounts to Rs 12100 in two years and Rs. 14641 in 4 years at compound interest annually . The sum is –

(1) 8,000 (2) 10,000 (3) 11,000 (4) 12000

21. If the amount is3 times of sum after 3 years at compound interest, the Rate of interest per annum is-

(1) 30% (2) 40% (3) 25% (4) 50%

22. By mistake, instead of dividing Rs 117 among

three persons A,B,C in the ratio it got divided in the ratio 2:3:4 .Who gains the most and how much ?

(1) 920: 1159 (2) 1159: 920 (3) 11:9 (4) None

23. In the current of a stream runs at 2km/hr. A boat takes half time in in moving a curtain distance downstream that upstream .What is the speed of boat in still water

(1) 8 (2) 6 (3) 2 (4) 4

24. A boat goes 30km upstream and 44km downstream in 10hr. it goes 40km upstream and 55km

downstream in 13hr. the speed of the boat in still water is

(1) 8 (2) 6 (3) 12 (4) 6.5

25. The contents of two vessels containing water and milk are in the ratio 1:2 anf 2:5 are mixed in the ratio 1:4 The resulting mixture will have water and milk in the ratio

(1) 35:75 (2) 31:74 (3) 41:65 (4) 31:65

26. One rupee conins, 50p coins and 25p coins are in the ratio of 4:5:6. Find the number of coins of each denomination if the total money amounts to Rs. 32?

(1) 16,20,24 (2) 22,24,28 (3) 14,24,22 (4) 18,20,22

27. In how many ways , can the letter of the word JUDGE be arranged in such a way that vowel should never come together.

(1) 48 (2) 120 (3) 124 (4) 160

28. In a group of 6 boys and 4 girls 4 children are to be selected. In how many different ways can they be selected such that atteast one boy should be there.

(1) 159 (2) 194 (3) 205 (4) 209

29. Two dice are thrown together. What is the probalilty of getting a total of mor than 7 ?

(1) (2) (3) (4)

30. 6 toys are to be distributed among 4 children . In how many ways, it can be distributed ?

(1) 52 (2) 46 (3) 65 (4) 55

31. The profit earned by selling an article at 650 is same as loss occured when article sold at 350. Find the cost price.

(1) 500 (2) 550 (3) 650 (4) 700

32. Ratio of Rani’s and komal’s age is 3:5 Ratio of komal’s and pooj’s age is 2:3. If Rani is two fifth of pooja’s age, what is Rani’s age ?

(1) 10 (2) Can’t be determined (3) 24 yrs (4) 15yrs

33. A and B together can do a piece of work in 12days which B and C together can do in 16days.afterA has been working at it for 5 days and B and 7 days, C takes up and finishes it alone in 13 days . In how many days could each do the work by himself ?

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(1) 48,16,24 (2) 16,48,24 (3) 12,15,20 (4) None of these

34. To do a cartain work , B would take three times as long as A. and C to gether and C twice as long as A and B together. The three men together complete the work in 10days . How long would each take separately ?

(1) 10,20,30 (2) 30,40,50 (3) 24, 40, 30 (4) 25,20, 45

35. If 12men and 16boys can do a piece of work in 5 days and 13 men and 24 boys can do it in 4days, how long will 7 men and 8 boys take to do it ?

(1) 2 (2) 5 (3) 8 (4) 2

36. If the mean of a, b, c is M and ab +bc+ca=0 , then the mean of a2, b2, c2 is:-

(1) M2 (2) 3 M2 (3) 6M2 (4) 9 M2

37. Mr Jones gave 40% of the money he had to his wife. He also gave 20% of the remaining amount to each of his three son’s . Half of the amount now left was spent on miscellaneous items and the remaining amount of Rs 12,000 was deposited in the bank. How much did Mr. jones have initially ?

(1) 10000 (2) 100000 (3) 1000000 (3) None of these

38. Two friends P and Q started a business investing in the ratio 5:6 R joined them after 6 months investing an equal amount of that of Q’s .At the end of the year, 20% . profit was earned which was equal to Rs. 98,000. What was the amount invested By R?

(1) 1,05,000 (2) 2,10,000 (3) 1,75,000 (4) data inadequate

39. How many numbers of five digits can do formed with the digits 0,1,2,3,4,5,6 and 8?

(1) 1960 (2) 2040 (3) 2160 (4) 2470

40. In an election between two candidates ,75% of the voters cost their votes, out of which 2% of the votes declared invalid.A candidate got 9261 votes which were 75% of the total valid votes.find the total number of votes enrolled in that election.

(1) 15600 (2) 17420 (3) 16800 (4) None of these

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DO YOU KNOW THAT?1. Can you multiply 34675234 and 99999999 in 5 second?

2. Can you find the cube root of 55296 and 539238 in 2 second?

3. Can you predict what was a day on 28 July 1914 when the First World War started?

4. Can you check the final answer without solving the question or in special case, get the final answer without having glance at the question?

5. Can you solve square, cube, square root, cube root, percentage without using pen (mentally)?

6. Can you solve linear and quadratic equation in 5 second?

All these are possible with the help of VEDIC MATH. If you have “Math Phobia” and you are unable to clear the competitive exams because of Mathematics section, you are cordially invited to attend 3 days free Demo classes. I guarantee you that these Demo classes will transform your perception about Mathematics and various competitive exams and you will feel that Mathematics is the easiest subject to deal with. Expecting to meet you soon in classroom……………

SCIENTIFIC APPROACH TO STUDY MATHEMATICS

✦ Never read Mathematics, always use pen and paper to solve Mathematics.

✦ Study the facts and formulae of every topic. Always try to understand the root/source of the formulae.

✦ Give a subjective approach to your study, otherwise objective approach will serve no objective.

✦ Comprehend the application of formulae. A proper use makes the solution easy whereas an improper use hardens it.

✦ Solve questions of varied kind and degree.

✦ Go ahead from easy to harder questions. Believe in complete solution of questions.

✦ Practice makes a man perfect. Mathematics needs continuous practice.

✦ While preparing, underline the important points. This will help you during revision.

✦ It is perilous walking on a tight rope. So, give a wide dimension to your study.

✦ Most importantly, think positive, do positive.

by mathematics guru er. om prakash yadav …16. pipes and cisterns 124-129 17. speed distance &...

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