Dr. Lal & Jain

By

Upkar Prakashan, AGRA-2

© Publishers

Publishers

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ISBN : 978-93-85888-83-0

Code No. 1911

Printed at : UPKAR PRAKASHAN (Printing Unit) Bye-pass, AGRA

CONTENTS

● Previous Year’s Solved Paper● Solved Model Papers

Part-IReasoning Ability ........................................................................................................ 1–96

Part-II

Quantitative Aptitude .................................................................................................. 1–80

Part-III

English Language ........................................................................................................ 1–72

General Information� AGE

Minimum: 20 Years Maximum : 30 Years.

Note : Relaxation of Upper Age Limit will be permissible as per rules.

� EDUCATIONAL QUALIFICATIONSA Degree (Graduation) in any discipline from a University recognized by the Govt. of India or any equivalentqualification recognized as such by the Central Government.The candidate must possess valid Mark-sheet / Degree Certificate that he/ she is a graduate on the day he / sheregisters and indicate the percentage of marks obtained in Graduation while registering online.

� CWE–ONLINE EXAMINATIONThe structure of the Examination which will be conducted online is as follows :Preliminary Examination

Sr. No. Name of Tests No. of QsMaximum

Marks Duration

1. English Language 30 30 Composite

2. Quantitative Aptitude 35 35 Time of

3. Reasoning Ability 35 35 1 hours

Total 100 100

Candidates have to qualify in each of the three tests by securing cut-off marks to be decided by IBPS.IBPS reserves the right to modify the structure of the examination which will be intimated through itswebsite. Other detailed information regarding the examination will be given in an Information Handout,which will be made available for the candidates to download along with the call letters from theauthorised IBPS website www.ibps.in.

� PENALTY FOR WRONG ANSWERS (Applicable to both – Preliminary and MainExamination)There will be penalty for wrong answers marked in the Objective Tests. For each question for which a wronganswer has been given by the candidate one fourth or 0.25 of the marks assigned to that question will bededucted as penalty to arrive at corrected score. If a question is left blank, i.e., no answer is marked by thecandidate, there will be no penalty for that question.

� SCORES* The corrected scores obtained by each of the candidates in different sessions (if held) will be normalized

using equipercentile method.* Scores up to two decimal points shall be taken for the purpose of calculations.

� CUT-OFF SCORE (Online Main Examination)Each candidate will be required to obtain a minimum score in each test of Online Main Examination and also aminimum total score to be considered to be shortlisted for interview. Depending on the number of vacanciesavailable, cutoffs will be decided and candidates will be shortlisted for interview. Prior to the completion of theinterview process, scores obta sined in the online Main examination will not be shared with the candidatesshortlisted for interview.

MARKS OBTAINED ONLY IN THE MAIN EXAMINATION WILL BE CONSIDERED FORSHORTLISTING FOR INTERVIEW AND ALSO FOR FINAL MERIT LISTING.

� INTERVIEWCandidates who have been shortlisted in the main examination for CWE PO/MT will subsequently be called foran Interview to be conducted by the Participating Organisations and coordinated by the Nodal Bank in eachState/UT with the help of IBPS. Interviews will be conducted at select centres. The centre, address of the venue,time & date of Interview will be informed to the shortlisted candidates in the call letter. Candidates are requiredto download their interview call letters from authorised IBPS website www.ibps.in.

I.B.P.S.Bank POs/MTs

Pre. Exam., 2015Solved Paper(Based on Memory)

2015Reasoning

Directions—(Q. 1 to 5) In this question two or threestatements followed by two conclusions numbered I andII have been given. You have to take the two givenstatements to be true even if they seem to be at variancefrom the commonly known facts and then decide whichof the given conclusions logically follows from thegiven statements disregarding commonly known facts.(A) Either conclusion I or II is true.(B) Neither conclusion I nor II is true.(C) Both conclusion I and II are true.(D) Only conclusion I is true.(E) Only conclusion II is true.1. Statements : All calls are mails. Some mails are

posts. Some posts are letters.Conclusions :I. All posts being calls is a possibility.II. No letter is a mail.

2. Statements : Some vehicles are cars. Some cars aretrucks. All trucks are sedans.Conclusions :I. All vehicles being sedans is a possibility.II. At least some cars are sedans.

3. Statements : All calls are mails. Some mails areposts. Some posts are letters.Conclusions :I. All mails are calls.II. No call is a letter.

4. Statements : Some bridges are roads. No road isunderpass.

Conclusions :I. Some bridges are underpasses.

II. No bridge is an underpass

5. Statements : No unit is a part. All parts are items.Some items are elements.Conclusions :I. No unit is an element.II. At least some units are items.

Directions—(Q. 6 to 10) Study the given infor-mation carefully and answer the given question.

Ten people are sitting in two parallel rowscontaining five people each, in such a way that there isequal distance between adjacent persons. In row 1—B,C, D, E and F are seated (not necessarily in the sameorder) and all of them are facing south. In row 2—R, S,

T, U and V are seated (not necessarily in the same order)and all of them are facing north. Therefore, in the givenseating arrangement, each member seated in a row facesanother member of the other row.

R sits second in the right of U. The person facing Rsits to the immediate left of D. Only one person sitsbetween D and E. E does not at an extreme end of theline. The person facing E is an immediate neighbour ofT. S sits third to the left of T. F is not an immediateneighbour of D. B does not face U.

6. Who amongst the following is facing V ?(A) F (B) D(C) C (D) B(E) E

7. Who amongst the following is facing C ?(A) T (B) S(C) V (D) U(E) R

8. What is the position of D with respect to F ?(A) Immediate left (B) Second to the left(C) Third to the right (D) Immediate right(E) Second to the right

9. Which of the following statements is true regardingB ?(A) None of the given statements is true(B) C sits second to the right of B(C) B sits at an extreme end of the row(D) B faces one of the immediate neighbours

of T.(E) Only two persons sit between B and F.

10. Four of the following five are alike in a certain waybased on the given arrangement and hence form agroup. Which of these does not belong to thatgroup ?(A) RU (B) SR(C) VT (D) EB(E) DC

Directions—(Q. 11 to 15) Study the informationand answer the given questions.

In a certain code language.‘paint your house red’ is written as ‘ri fm ew cu’‘gate of red colour’ is written as ‘Ib ew op sa’‘house of your choice’ is written as ‘sa cu ri nk’‘gate with red paint’ is written as ‘gy op ew fm’(All codes are two letter codes only)

4 | PO/MT (Bank) Pre. Exam. 2015

11. What is the code for ‘red’ in the given codelanguage ?(A) other than those given as options(B) sa(C) gy(D) ew(E) fm

12. What may be the possible code for ‘gate crash’ inthe given code language ?(A) jx op (B) ri op(C) lb jx (D) op lb(E) jx ri

13. In the given code language, what does the code ‘cu’stand for ?(A) paint(B) either ‘of’ or ‘colour’(C) choice(D) with(E) either ‘house’ or ‘your’

14. What is the code for ‘paint’ in the given codelanguage ?(A) gy (B) fm(C) sa (D) op(E) ri

15. If ‘colour with canvas’ is coded as ‘hv lb gy’ in thegiven code language, then what is the code for‘canvas of choice’ ?(A) hv nk ew (B) ri sa nk(C) nk hv sa (D) sa ew hv(E) sa ri hv

Directions—(Q. 16 to 18) Study the giveninformation carefully and answer the question.

Each of the six buildings–E, F, G, H, I and J hasdifferent number of floors. Only three buildings havemore number of floors than J. G has more number offloors than I, but less than E. I has more number offloors than J. F does not have the least number of floors.The building having least number of floors has 5 floors.The building having third highest number of floors has26 floors. F has 14 floors less than the number of floorsin I.16. If the number of floors is less than 38 and is an odd

number which is divisible by 3, but not 7. Howmany floors does G have ?

(A) 15 (B) 35

(C) 9 (D) 27

(E) 29

17. Which of the following buildings has the secondhighest number of floors ?(A) I (B) F(C) J (D) H(E) G

18. How many floors does building J possibly have ?

(A) 22 (B) 5

(C) 11 (D) 35(E) 12

Directions—(Q. 19 to 23) Study the followinginformation and answer the question.

Seven people namely B, C, D, E, F, G and H haveto attend a workshop, but not necessarily in the sameorder, in seven different (months of the same year)namely January, March, April, July, August, Septemberand December. Each of them also likes a differentcompany namely HTC, Nokia, Samsung, Blackberry,TCS, Infosys and Godrej, but not necessarily in the sameorder.

The one who likes TCS will attend a workshop inthe month which has less than 31 days. Only one personwill attend a workshop between the one who likes TCSand B. The one who likes HTC will attend a workshopimmediately before B. Only three people will attend aworkshop between the one who likes TCS and the onewho like Nokia. H will attend a workshop immediatelyafter B. Only three people will attend a workshopbetween H and G. The one who likes Infosys will attenda workshop immediately before G. The one who likesSamsung will attend a workshop immediately before theone who likes Godrej. E will attend a workshopimmediately after the one who likes Godrej. C willattend a workshop in a month which has only 30 days. Fdoes not like HTC.

19. How many people will attend a workshop betweenthe months in which G and D will attend aworkshop ?

(A) Two (B) Three

(C) None (D) More than three

(E) One

20. As per the given arrangement, G is related to HTCand B is related to Nokia following a certain pattern,which of the following is D related to following thesame pattern ?

(A) Samsung (B) Infosys

(C) TCS (D) HTC

(E) Godrej

21. Which of the following represents the month inwhich F will attend a workshop ?

(A) March (B) January

(C) December (D) April

(E) Cannot be determined

22. Which of the following represents the people whowill attend a workshop in March and Decemberrespectively ?

(A) G, H (B) F, B

(C) F, E (D) F, H

(E) G, E

PO/MT (Bank) Pre. Exam. 2015 | 5

23. Which of the following companies does G like ?(A) Samsung (B) HTC(C) TCS (D) Nokia(E) Blackberry

Directions—(Q. 24 and 25) Study the followinginformation carefully and answer the following question.

K is the brother of J. J has only one daughter. J isthe mother of L. L is the sister of T. B is the father of T.T is married to R.24. How is J related to R ?

(A) Cannot be determined(B) Sister-in-law(C) Mother(D) Aunt(E) Mother-in-law

25. How is T related to K ?(A) Niece(B) Cannot be determined(C) Nephew(D) Son(E) Daughter

Directions—(Q. 26 to 30) In this question, arelationship between different elements is shown in thestatements. The statements are followed by conclusions.Study the conclusions based on the given statement andselect the appropriate answer.

(A) Either conclusion I or II is true.(B) Neither conclusion I nor II is true.(C) Both conclusions I and II are true.(D) Only conclusion I is true.(E) Only conclusion II is true.

26. Statements :P ≤ L ≤ A > N = K ≥ S; C ≥ AConclusion : I. L > K

II. P ≤ S

27. Statements :J > U ≥ N = K ≤ E < DConclusion : I. E ≤ U

II. D > N

28. Statements :I < J ≤ K ≤ L >M ≥ N; K ≤ B = SConclusion : I. N < L

II. L = N

29. Statements :I < J ≤ K≤ L >M ≥ N; K ≤ B = SConclusion : I. I < S

II. J ≤ B

30. Statements :P ≤ L ≤ A > N = K ≥ S; C ≥ AConclusion : I. C > P

II. P = C

Directions—(Q. 31 to 35) Study the giveninformation carefully and answer the given question.

J, K, L, M, N, O, P and Q are sitting around acircular table facing the centre with equal distancesbetween each other (but not necessarily in the sameorder). Each one of them is also related to N in someway or the other.

K sits third to the left of N. Only one person sitsbetween N and Q. N’s sister sits to the immediate rightof Q.

Only two people sit between N’s sister and N’smother. J sits to the immediate right of N’s mother.

P sits to the immediate right of M. N’s brother sitsthird to the right of P. N’s wife sits second to the left ofN’s brother.

Only three people sit between N’s wife and L. N’sson sits second to the left of N’s father. Only two peoplesit between N’s father and N’s daughter.31. Who amongst the following is the son of N ?

(A) Q (B) P(C) K (D) J(E) M

32. How many people sit between N and K, whencounted from the right of K ?(A) Five (B) Two(C) Four (D) None(E) Three

33. Who sits to the immediate right of Q ?(A) J (B) N’s sister(C) N (D) N’s wife(E) K

34. Which of the following statements is true withrespect to the given information ?(A) All the given options are false.(B) P sits to the immediate left of J.(C) N’s mother sits to the immediate left of N.(D) M is the mother-in-law of Q.(E) N is an immediate neighbour of his father.

35. How is J related to Q ?(A) Sister (B) Uncle(C) Sister-in-law (D) Father(E) Daughter

Answers with Hints1. (D)

Or

6 | PO/MT (Bank) Pre. Exam. 2015

Conclusion I follows.Conclusion II does not follow.

2. (C)

Or

Conclusion I follow.

Conclusion II follows.

3. (B)

Conclusion I does not follows.

Conclusion II does not follows.

4. (A)

Or

5. (B)

Or

Conclusion I does not follows.

Conclusion II does not follow.

For Q. 6 to 10 :

N

E

S

W

6. (E) 7. (D) 8. (C) 9. (B) 10. (A)For Q. 11 to 15 :

(code)paint ⎯⎯→ fmred ⎯⎯→ ewgate ⎯⎯→ opwith ⎯⎯→ gyyour ⎯⎯→ ri/cuhouse ⎯⎯→ cu/riof ⎯⎯→ sachoice ⎯⎯→ nkcolour ⎯⎯→ lb

11. (D) 12. (A) 13. (E) 14. (B) 15. (C)For Q. 16 to 18 :

E > G > I > J > F > H↓ ↓ ↓ ↓

27 26 12 5

16. (D) 17. (E) 18. (A)For Q. 19 to 23 :

Jan. → 31 → (F) → InfosysMarch→ 31 → (G) → BlackberryApril → 30 → (C) → TCSJuly → 31 → (D) → HTCAug. → 31 → (B) → SamsungSep. → 30 → (H) → GodrejDec. → 31 → (E) → Nokia

19. (E) 20. (E) 21. (B) 22. (E) 23. (E)For Q. 24 and 25 :

24. (E) 25. (C) 26. (B) 27. (E) 28. (D)29. (C) 30. (A)For Q. 31 to 35 :

31. (A) 32. (B) 33. (B) 34. (A) 35. (B)

PO/MT (Bank) Pre. Exam. 2015 | 7

Quantitative AptitudeDirections—(Q. 1–5) Study the table and answer the given questions :

Data related to Number of Candidates Appeared and Qualified in a Competitive Exam from 2States during 5 years

State P State Q

Year Number of appearedcandidates

Percentage of appearedcandidates who qualified

Number of appearedcandidates

Percentage of appearedcandidates who qualified

2006 450 60% — 30%2007 600 43% — 45%2008 — 60% 280 60%2009 480 70% 550 50%2010 380 — 400 —

Note—Few values are missing in the table (indicated by). A candidate is expected to calculate the missingvalue, If it is required to answer the given question on the basis of given data and information.

1. Out of the number of qualified candidates fromState P in 2008, the respective ratio of male andfemale candidates is 11 : 7. If the number of femalequalified candidates from State P in 2008 is 126,what is the number of appeared candidates (bothmale and female) from state P in 2008 ?(A) 630 (B) 510(C) 570 (D) 690(E) 540

2. Number of appeared candidates from state Qincreased by 100% from 2006 to 2007. If the totalnumber of qualified candidates from State Q in2006 and 2007 together is 408, what is the numberof appeared candidates from State Q in 2006 ?(A) 380 (B) 360(C) 340 (D) 320(E) 300

3. What is the difference between number of qualifiedcandidates from State P in 2006 and that in 2007 ?(A) 12 (B) 22(C) 14 (D) 24(E) 16

4. If the average number of qualified candidates fromState Q in 2008, 2009 and 2010 is 210, what is thenumber of qualified candidates from State Q in2010 ?(A) 191 (B) 195(C) 183 (D) 187(E) 179

5. If the respective ratio between number of qualifiedcandidates from State P in 2009 and 2010 is 14 : 9,what is the number of qualified candidates fromState P in 2010 ?(A) 252 (B) 207(C) 216 (D) 234(E) 198

6. √⎯⎯⎯575 ÷ ? × 14·982 = 450(A) 15 (B) 10(C) 7 (D) 4(E) 12

7. 30·012 – 19·982 – ? = 21·812

(A) 49 (B) 50(C) 30 (D) 39(E) 41

8. 820·15 + 2379·85 + 140·01 × 4·99 = ?(A) 4400 (B) 3900(C) 3000 (D) 4000(E) 4300

9. 39·97% of 649·8 ÷ 13·05 = 45·12 – ?(A) 40 (B) 15(C) 25 (D) 10(E) 30

10. (674·87 + 59·98) ÷ 35·02 = ?(A) 29 (B) 27(C) 19 (D) 21(E) 11

Directions—(Q. 11–15) Refer to the graph andanswer the given questions.

0

50100150200250300350400

350

320

270

310

240

200

210

170

140

120

230

200

Nu

mb

er o

f P

eop

le

Sund

ay

Satu

rday

Thu

rsda

y

Wed

nesd

ay

Tue

sday

Mon

day

Train A

Train B

8 | PO/MT (Bank) Pre. Exam. 2015

11. The number of people who travelled by Train B onFriday is 20% more than the people who travelledby the same train on Thursday. What is therespective ratio between the number of people whotravelled on Friday and those who travelled onSaturday by the same train ?(A) 4 : 5 (B) 3 : 4(C) 5 : 6 (D) 3 : 5(E) 1 : 4

12. What is the difference between the total number ofpeople who travelled by Train B on Monday andTuesday together and the total number of peoplewho travelled by Train A on Saturday and Sundaytogether ?(A) 200 (B) 230(C) 210 (D) 250(E) 240

13. What is the average number of people travelling byTrain A on Monday, Tuesday, Wednesday andThursday ?(A) 220 (B) 190(C) 205 (D) 195(E) 210

14. The number of people who travelled by Train Adecreased by what per cent from Saturday toTuesday ?

(A) 35 (B) 40

(C) 30 (D) 42

(E) 33

15. The total number of people who travelled by boththe given trains together on Sunday is approximatelywhat per cent more than the total number of peoplewho travelled by both the given trains together onWednesday ?

(A) 128 (B) 123

(C) 142 (D) 118

(E) 135

16. 6,100 was partly invested in Scheme A at 10%p.a. compound interest (compounded annually) for 2years and partly in Scheme B at 10% p.a. simpleinterest for 4 years. Both the schemes equalinterests. How much was invested in Scheme A ?

(A) 3,750 (B) 4,500

(C) 4,000 (D) 3,250

(E) 5,000

17. ‘A’ bought a certain quantity of oranges at total costof 1200. He sold 1/3rd of those oranges at 20%loss. If A earns an overall profit of 10%, at what percent profit did A set the rest of the oranges ?

(A) 16% (B) 15%

(C) 22% (D) 25%

(E) 20%

18. Present ages of Kiran and Shyam are in the ratio of5 : 4 respectively. Three years hence, the ratio oftheir ages will become 11 : 9 respectively. What isShyam’s present age in years ?(A) 28 (B) 27(C) 26 (D) 24(E) 30

Directions—(Q. 19–23) In these questions, twoequations numbered I and II are given. You have tosolve both the questions and mark the appropriate option.19. I. 2x2 + 19x + 45 = 0

II. 2y2 + 11y + 12 = 0(A) x > y(B) x ≥ y(C) x < y(D) Relationship between x and y cannot be

determined(E) x ≤ y

20. I. 3x2 – 13x + 12 = 0II. 2y2 – 15y + 28 = 0(A) x > y(B) x ≥ y(C) x < y(D) Relationship between x and y cannot be

determined(E) x ≤ y

21. I. x2 = 16II. 2y2 – 17y + 36 = 0(A) x > y(B) x ≥ y(C) x < y

(D) Relationship between x and y cannot bedetermined

(E) x ≤ y

22. I. 6x2 + 19x + 15 = 0

II. 3y2 + 11y + 10 = 0

(A) x > y

(B) x ≥ y

(C) x < y

(D) Relationship between x and y cannot bedetermined

(E) x ≤ y

23. I. 2x2 – 11x + 15 = 0

II. 2y2 – 11y + 14 = 0

(A) x > y

(B) x ≥ y

(C) x < y

(D) Relationship between x and y cannot bedetermined

(E) x ≤ y

PO/MT (Bank) Pre. Exam. 2015 | 9

24. A started a business. After 4 months from the startof the business, B and C joined. The respective ratiobetween the investments of A, B and C was 4 : 6 : 5.If A’s share in annual profit was 250 more thanC’s share, what was the total annual profit earned ?

(A) 3740 (B) 3910(C) 4250 (D) 5000(E) None of these

25. A person has to travel from point A to point B incertain time. Travelling at a speed of 5 kmph hereaches 48 minutes late and while travelling at aspeed of 8 kmph he reaches 15 minutes early. Whatis the distance from point A to B ?(A) 15 km (B) 9 km(C) 12 km (D) 18 km(E) 14 km

26. 28 men can complete a piece of work in 15 days and15 women can complete the same piece of work in24 days. What is the respective ratio between theamount of work done by 30 men in 1 day and theamount of work done by 18 women in 1 day ?(A) 10 : 7 (B) 3 : 7(C) 4 : 5 (D) 5 : 4(E) 4 : 1

27. 18 litres of pure water was added to a vesselcontaining 80 litres of pure milk. 49 litres of theresultant mixture was then sold and some morequantity of pure milk and pure water was added tothe vessel in the respective ratio of 2 : 1. If theresultant respective ratio of milk and water in thevessel was 4 : 1, what was the quantity of pure milkadded in the vessel ? (in litres).(A) 4 (B) 8(C) 10 (D) 12(E) 2

28. A certain sum is divided among A, B and C in sucha way that A gets 40 more than the

12 of the sum. B

get 120 less than 3/8th of the sum and C gets 200. What is the total sum.

(A) 1100 (B) 850(C) 960 (D) 1200(E) 1600

Directions—(Q. 29–33) What will come in place ofquestion mark (?) in the given number series ?

29. 123 140 106 55 – 13 ?

(A) 214 (B) 139

(C) – 98 (D) – 69

(E) – 74

30. 190 94 46 22 ? 4

(A) 19 (B) 15

(C) 10 (D) 8

(E) 16

31. 320 320 314 290 230 ?(A) 114 (B) 110(C) 50 (D) 98(E) 142

32. 3 4 9 28 113 ?(A) 782 (B) 424(C) 646 (D) 384(E) 566

33. 8 4 6 15 ? 236·25(A) 64·5 (B) 84(C) 52·5 (D) 36(E) 46

34. The respective ratio of curved surface area and totalsurface area of a cylinder is 4 : 5. If the curvedsurface area of the cylinder is 1232 cm2, what is theheight ? (in cm)(A) 28 (B) 12(C) 20 (D) 18(E) 19

35. A bag contains 3 red balls, 5 yellow balls and 7 pinkballs. If one ball is drawn at random from the bag,what is the probability that it is other pink or red ?

(A)49

(B)23

(C)26

(D)13

(E)43

Answers with Hints1. (E) Let the no. of total candidates = x

No. of qualified candidates

=60100

x = 35 x

No. of female qualified candidates

=718

× 35 x =

730

x

Given, 730

x = 126

⇒ x =126 × 30

7= 540

2. (C) No. of candidates appeared from State Q in2006 = x.and no. of candidates appeared from state Q in 2007= 2xNo. of qualified candidates from state Q in 2006

=30100

x = 310

x

and no. of qualified candidates from state Q in 2007

=45100

× 2x = 910

x

10 | PO/MT (Bank) Pre. Exam. 2015

Given, 3x10

+ 910

x = 408

⇒ 1210

x = 408

⇒ x =408 × 10

12 = 340

3. (A) Required difference

=60100

× 450 – 43100

× 600

= 270 – 258 = 124. (D) No. of qualified candidates from state Q in 2008

=60100

× 280 = 168

No. of qualified candidates from state Q in 2009

=50100

× 550 = 275

No. of qualified candidates from state Q in 3 years =210 × 3 = 630So, no. of qualified candidates from state Q in 2010

= 630 – 168 – 275 = 187

5. (C)

No. of qualified candidates fromstate P in 2009

No. of qualified candidates fromstate P in 2010

= 149

⇒

70100

× 480

x=

149

⇒ 336x

=149

⇒ x = 336 × 9

14= 216

6. (E) √⎯⎯⎯575 ÷ ? × (14·98)2 = 450≈ 24 ÷ ? × (15)2 = 450

≈ 24 ÷ ? × 225 = 450

≈ ? = 24 × 225

450= 12

7. (*) (30·01)2 – (19·98)2 – x = (21·81)2

≈ 901 – 399 – x = 476≈ 502 – 476 = x

≈ x = 268. (B) 820·15 + 2379·85 + 140·01 × 4·99 = x

≈ 820 + 2380 + 140 × 5 = x≈ 3200 + 700 = x≈ 3900 = x

9. (C) 39·97% of 649·8 ÷ 13·05= 45·12 – x

≈40100

× 650 ÷ 13 = 45 – x

≈26013

= 45 – x

≈ 20 = 45 – x

≈ x = 25

10. (D) (674·87 + 59·98) ÷ 35·02 = x

≈ (675 + 60) ÷ 35 = x

≈ 73535

= x

≈ x = 2111. (B) No. of people who travelled by train B on

Friday

= 200 + 200 × 20100

= 200 + 40 = 240

and no. of people who travelled by train B onSaturday = 320

then ratio = 240320

= 34 = 3 : 4

12. (D) The total number of people who travelled bytrain B on Monday and Tuesday together

= (200 + 170) = 370and the total no. of people who travelled by train Aon Saturday and Sunday together

= (350 + 270) = 620

∴ Difference = 620 – 370 = 25013. (C) Avg. no. people travelling by train A on

Monday, Tuesday.

Wednesday and Thursday

=240 + 210 + 140 + 230

4

=8204

= 205

14. (B) % Decrease =350 – 210 × 100

350

=140350

× 100 = 40%

15. (B) % Increase

= (270 + 310) – (140 + 120)

(140 + 120) × 100

= 580 – 260

260 × 100

= 320260

× 100 = 123

16. (C) Amount invested in scheme

B = x

and, amount invested in scheme

A = 6100 – x

For Scheme A :

C. I. = (6100 – x) [ ]( )1 + 10100

2 – 1

= (6100 – x) [ ]121100

– 1

= (6100 – x) ( )21100

PO/MT (Bank) Pre. Exam. 2015 | 11

For Scheme B :

∴ S. I. =x × 10 × 4

100 =

40x100

If the interests are equal, i.e.,40x100

= ( )6100 × 21100

– 21100

x

⇒ 40x100

= 1281 – 21100

x

⇒ 61x100

= 1281

⇒ x =1281 × 100

61⇒ x = 2100The amount invested in scheme A

= 6100 – x = 6100 – 2100= 4000

17. (D) Total cost of oranges = 1200

C. P. of 13 of oranges =

13 × 1200 = 400

Loss = 20%

S. P. of 13 of oranges =

100 – 20100

× 400

=80100

× 400

= 320 …(1)Total cost price = 1200

P % = 10%

∴ Total selling price =100 + 10

100 × 1200

=110 × 1200

100= 1320 …(2)

C. P. of remaining oranges

=23 × 1200 = 800

S. P. of remaining oranges= 1320 – 320 = 1000

Profit = 1000 – 800 = 200

P % =200800

× 100 = 25%

18. (D) Ratio of present ages of Kiran and Shyam = 5 : 4.Let, the present age of Kiran = 5x.and, Present age of Shyam = 4x.After 3 years, ratio of their ages

= 11 : 9

⇒ (5x + 3)(4x + 3)

=119

⇒ 9(5x + 3) = 11(4x + 3)⇒ 45x + 27 = 44x + 33⇒ x = 33 – 27 = 6 years.So, Shyam’s present age = 4x = 4 × 6

= 24 years.

19. (C) (I) 2x2 + 19x + 45 = 0

⇒ x =–19 ± √⎯⎯⎯⎯⎯⎯⎯361 – 360

4

⇒ x =–19 ± √⎯ 1

4

⇒ x =–204

, –184

⇒ x = – 5, – 4·5(II) 2y2 + 11y + 12 = 0

⇒ y =– 11 ± √⎯⎯⎯⎯⎯⎯121 – 96

4

⇒ y =–11 ± √⎯⎯25

4

⇒ y =–11 ± 5

4

⇒ y =–164

, – 64

⇒ y = – 4, – 1·5x < y

20. (C) (I) 3x2 – 13x + 12 = 0

⇒ x =13 ± √⎯⎯⎯⎯⎯⎯⎯169 – 144

6

⇒ x =13 ± √⎯⎯25

6

⇒ x =13 ± 5

6

⇒ x =186

, 86

⇒ x = 3, 1·33

(II) 2y2 – 15y + 28 = 0

⇒ y =15 ± √⎯⎯⎯⎯⎯⎯⎯225 – 224

4

⇒ y =15 ± √⎯ 1

4

⇒ y =164

, 144

⇒ y = 4, 3·5x < y

21. (E) (I) x2 = 16⇒ x = ± 4(II) 2y2 – 17y + 36 = 0

⇒ y =17 ± √⎯⎯⎯⎯⎯⎯⎯289 – 228

4

⇒ y =17 ± 1

4

⇒ y =184

, 164

⇒ y = 4·5, 4‘x ≤ y’

Bank PO /MT Preliminary Exam

Publisher : Upkar Prakashan ISBN : 9789385888830 Author : Dr. Lal & Jain

Type the URL : http://www.kopykitab.com/product/11878

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