ssc 69 (2)

Centres at:MUKHERJEE NAGAR MUNIRKA UTTAM NAGAR DILSHAD GARDEN ROHINI BADARPUR BORDER JAIPUR GURGAON=============================================================

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1. (C) 'Carefulness' prevents 'accident'. In thesame way 'Sanitation' prevents 'disease'.

2. (C) Saddle

3. (A) K M Z S H A P N

opposites

oppositesopp.

:: ::

G K T P K G T P

opposites

opposites

:

4. (B) 6 : 14

× 4 –10× 4 –10

:: 8 : 22

5. (C) 24 : 16

24 63

:: 63 : 216

6. (C) (A)

B G T Y+5

opp.

opp. (B)

H M N S+5 opp.

opp.

(C)

T X C G+4

opp.

opp. (D)

K P K P+5 opp.

opp.

7. (C) All are mammel, but bat can fly. So 'C' isthe answer.

8. (B) All are metals, but Mercury is a liquidmetal. So 'B' is the answer.

9. (C) All above are (2x + x) type numbers except'4'.(A) put x = 4 24 + 4 = 20(B) put x = 2 22 + 2 = 6(C) does not follow(D) put x = 6 26 + 6 = 70

10. (A) All above numbers have two prime factorseach except 12 which in option - 'A'e.g.

11. (C) In the remaining options only consontantsare present.

SSC MOCK TEST – 69 (SOLUTION)

12. (B) 28 38 49 62 70 77 91++ + + + +

28+10 38+11 49+13 62+8 70+7 77+14Digit sum is added with the number toget next number and so on.

13. (D) 5, 3, 3, 5, 15, 69

14. (*) Above is the unique series of Indiancurrency. Read 'C' as 1000.

15. (C) a ab/a aa/aa b/a a a/a ab/aa a16. (A) a c b/ab a a/a cb/a ba a/acb/a b aa

17. (B)

K M C M Q I U A U I Q M+2

+12

+14 +4

+10

+16 +6

+8

+18

18. (B)

D F H K N Q V A F M T A, , ,4 116 148

2 2 3 3 5 5 7 717 22 1327 206 27

19. (A) In the given boxes of figures. Diagonallychanging then horizontally thendiagonally changing and so on.

20. (D) Arrow is rotated ACW, and two new figurescome.

21. (D) Thermometer is an instrument andtemperature in different.

22. (C) All brothers are male and some doctorsare not male and some brothers aredoctors.

23. (A) Ist row 28 + 18 = 46

(Digit sum of 99)IInd row 49 + 12 = 61

(Digit sum of 48)

IIIrd row 65 + 15 = 80

(Digit sum of 78)24. (B)

0

0

3 12

2 126


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25. (D) Given,52

7 4 3

22 30 + + 4 3 7+ + +

Similarly,26

8 8 6

62 51+ + 8 6 8+ + +

Then 44 + 31 + 40 = 448+ + +8 4 4

26. (C) B R I C I Y X R

Opp.Opp.

Opp.Opp.

Similarly,

R E A D V I W Z

Opp.Opp.

Opp.Opp.

27. (B) STUDENT DENSTTUletters of the word are written inalphabetical order.Thus,

ELEPHANT AEEHLNPT28. (C)

90ºN 30 m(N-E)

W WE E

S S

N

60 m

Ravi40 m

138º

So, finally Ravi is walking in North-Eastdirection.

29. (B)

W E

S

N

S

L RG

If Geeta faces North then her left handfalls in West and shadow of Seeta falls inWest. So Seeta is facing South.

30. (D) m = 4

R

R

RR

R

R

No. of cubes which come from any edge

= 3 64 = 4 = nNow four faces not painted means only twofaces painted cubes.And such cubes comes from edges thus,

12(n – 2) are such cubes.= 12 × 2 = 24

31. (A)2 5

5 36 1

Rotate the numbers A.C.W. from thecommon number '5' on both the positionsof the Dice as follows

5,

5,

6,

3,

2

1

The opposite of 2 is 1.32. (C) Gender of P is female and P is wife of S's

father's son, so P is sister-in-law of S.Thus, answer option be (C).

33. (D) Gender of S is not clear so answer in datainadequate.

34. (C)35. (C) 4th March 1980 (Tuesday)

15th March 1984 4th March 1980

4th March 1984 + 11 days= 4 × 365 + 1(day) + 11 days= 4 days + 1 day + 11 days= 16 days[only one leap year 1984 is

taken]Thus, 16 days after Tuesday falls onThursday.

36. (*)37. (D) Hour hand takes two rounds in one day

(24 hrs), hence in 3 days if will take 3 × 2= 6 rounds.


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38. (D) Let son is x years old now(Son) (Father)

at birth: 0 yrs x yrs

Present x yrs x + x= 2x yrs= 38 x=19 yrs

39. (D) According to questions(+) denotes (×)(–) denotes (÷)(×) denotes (–)

Then (8 + 4 – 1 × 12) (8 × 4 ÷ 1 – 12)

= 8 × 14

– 12

= 32 – 12= 20

40. (D) 50

Gopal Ram

19 21

30

Rank of Gopal from the top= 51 – 21 +1 = 30

Thus, 29 people are ahead of Gopal41. (D) According to questions

B A B < A(not faster)

A > BA runs faster or equal to B.

42. (D) According to question, Data is inadequateto decide the answer.

43. (C) No lion in dog.No dog in hen.

1stcase:-

2ndcase:-

3rdcase:-

4thcase:-

L

L

L

L

D

D

D

D

D H

H (ii) ×

(iii)

Thus, either conclusion-I or II follow.

44. (A) All books are chairs.All books are tables.

BC

BT

BCT

BTC

B

CT

or or

Thus, only conclusion-I follows.45. (C) Given,

× ×35

Set15

(75, 35, 15)

Thus,

× ×1

Set1 1

(11, 1, 1)

(Note single digit number is put as itis.)

46. (D) Given, Set (18, +32, +15) = 65Thus, Set (24, +16, +25) = 65

47. (C)

No. of diagonals of any polygon of n vertices

be = 2)3( nn= 2

)35(5 = '5'

48. (A) By the given figure.Opposite of B DOpposite of A FOpposite of E C

Thus, dice in option 'A' is correct.49. (C) Common part of circle, rectangle, square

represents such number.50. (C) Given,

3 × 2 < 4 ÷ 6 + 3 < 2After changing the signs

3 + 2 – 4 > 6 ÷ 3 – 25 – 4 > 2 – 21 > 0 (correct)

51. (B) 24 4 2 18 3 236 2

6 7 2

6 7 234

× 1

6 7 2 = 134


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52. (C) Required number is a factor of (33767 - 27908)= 5859= 27 × 217

Required 3-digit number = 217

53. (B) Quantity C.P. New Quantity New C.P.

16 240

Quantity Quantity

30 240

250 ` 3750

SP New SP× 15

× 8400 ` 3200

)

)

% loss = 375032003720

× 100

= 14 32

%

54. (C) (x + y) 3 = x3 + y 3 + 3x2y + 3xy2

33 2 = 33 + (2)3 + 23 3 + 3 3 (2)2

= 3 3 + 8 + 18+ 12 3

= 15 3 + 26

a + b 3 = 26 + 15 3On Comparing L.H.S. and R.H.S.

a = 26, b = 15 a – b = 26 – 15

a – b = 1155. (A) Formula:-

Men employed initlally= extra men × No. of days

= 4014024

= 84 men.

56. (D) 2 4x

x

× 190 = 180 – 24º (x = no. of side)

nn 2

= 2º90º56

15n - 30 = 13n 2n = 30 n = 15Number of sides = 15

57. (B) S.I. for 1 year = 7002 = ` 350

S.I. for 1year on ` 350 = 770 - 700 = ` 70

Rate = S.I. 100

P T

= 1350

10070

=20%

Rate = 20%

58. (C) Let cost price = ` 100 Marked price = ` 140

Discount (20%) = 140 × 80

100 = ` 112

Percentage profit = 100100112

× 100 = 12%

59. (D) (6.23)3 + 3 × 11× 4.77 × 6.23 + (4.77)3= (6.23)2 + (6.23 + 4.77) × 14.77 × 6.23 + (4.77)3= (6.23 + 4.77)3

[a3 + b3 + 3ab (a + b)= (a + b)]= (11.00)3=1331

60. (B)Increase in expenses = 6- 5 = ` 1

% Increase in the expense = 15 ×100 = 20%

61. (D)Principal be ` x

Amount = `3625 x

A = P 1100

nr

3625 x =x

2

1100

r

65 = 1 100

r

15 =100

r

r = 20%

62. (D)A = 25 B , B =

58 C

Let the share of C = ` x

Share of B = 58 x

A = 25 ×

58

A = 4x

Profit of A = 45

4 8

x

x x x

× 1455

= 42 5 8

8

x

x x x

× 1455

= 2

15xx × 1455

Profit of A = ` 194


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63. (D)Let A and B work for x days than,

BA11

x + A1

× 4 = 1

241

181

x + 184

= 1

727

× x = 97

x = 8 daysShortcut:-A

B

1872

24

4

3Workdone by A in last 4 days = 4 × 4

= 16Remaining work was done by A and B in

= 341672

= 8 days

64. (A) Speed of A = 40017

m/s

Speed of B = 40019 m/s

Distance between A and B after 182 seconds

= 17400

× 217

– 40019 ×

172 =

40019 m

B is 40019 m behind than A.

65. (B) Let the length of the train be x m

speed of the train = 14x

m/s

speed of the train = 270

32x

m/s

(When crosses bridge)

270

32x

= 14x

270 × 7 = 9x x = 210 m

Speed of the train = 21014

m/s

=21014

× 185 = 54 km/hr.

66. (C) 3148877

1000 + 31488771000000 + 3

1488771000000000

= 5.5 + 0.53 + 0.053= 5.883

67. (A)0.6 +36

100 0.6+0.6 = 1.2

1.61 – 0.321

=11.27 0.1

7

= 1.59

1.3 × 0.76 = 0.988

1.69 = 169100 = 1.3

Greatest number = 1.61 – 0.321

68. (A) Let the number be x and x + 5 x2 + (x + 5)2 = 433x2 + x2 + 25 + 10x = 4332x2 + 10x + 25x = 4332x2 + 10x – 408 = 0x2 + 5x – 204 = 0x2 + 17x – 12x – 204 = 0 x – 17 and x = 12Sum of two positive number

= x (x + 5)= 12 + (12 + 5)= 29

69. (C) x +1x

= 9

21xx

= 81

1xx

= 7

xx

xx

xx 11..31

33

= 3.43

33 1

xx = 343 – 3 × 7

33 1

xx = 322

70. (A) The distance between = 1 2

2

c c

a b

Where c1 and c2 are intercepts a & b areconstants of x and y respectively

= 2 2

9 ( 14)(2) (5)

= 2329 unit

71. (C) A + B + C = 207A = 3B, A = 5C

A + B A3 5 207


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15A 5A 3A15

= 207

23A15 = 207

A =135

B = A3 =

1353 = 45

C = 135

3 = 27

A = 135, B = 45, C = 27 Smallest number = 27

72. (C) Principal = Difference 2100

Rate

475.60 = x × 100 100

49

x = ` 2.330473. (B)

A H D

E G

B F CInternal figure EFGH is also a square sinceEG BC.EG is the diagonal of square EFGH.EG = 14cm= EG = 14 cm

Area of square EFGH = 21

× (14)2 = 98 sq.cm.

Its area = 2

142a

= 196

2 = 98 sq.cm.

74. (A) Perimter = a + b + c 46 = 12 + 15 + C

19 = C 2S = a + b + c

S = 462 = 23

Area of triangle

= S (S a)(S b)(S c)

= 23(23 12)(23 15)(23 19)

= 23 11 8 4

= 4421123

= 4 21123

= 4 506 cm2

75. (A) A

B C

D Ey

y

x

45

60

º

º

3030

Let AD = x (height above tree)EC = height of the tree = 30 mBC = DE = yIn ABC

30xy

= 60 x + 30 = y3 (i)

In ADE

xy = tan 45º x = y (ii)

From eqn (i) & (ii)x + 30 = 3 x

30 = x ( 3 – 1)

x = 303 1

×3 13 1

= 15 3 1

Height of the building (AB) = 30 + 15 3 1

= 30 + 15 3 + 15

= 45 + 15 3

= 15 3 3 1

76. (B) A

B

C

TO

48º

46º


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ABC = CAT (Angles in the alternate= 48º) segment

ACB = CAT +ATC ( exterior angle= 48º + 46º = 94) property)

In ABCABC + BAC + ACB = 180ºBAC = 180º – (94º + 48º)BAC = 38ºBOC = 2 BAC (the central angle is equalto twice the inscribed angle in a cricle)

= 2 × 38 = 76º77. (C) A( )

A + B ( )25 250 50 1

–1

B can empty the tank = 150

= 50 minutes

78. (D) Let cost price = x

Mark Price = x + x × 10020

= 56

x

Selling Price = x – x × 1004

= 2524

x

Percentage Discount

= x

xx

56

2524

56

× 100 = x

xx30

2430 × 100

= 20%Shortcut:-S.P.96

C.P.100

M.P.120

Percentage Discount = 12096120

× 100 = 20%

79.(C) 33 (x - y) = 31 (x + y) 2x = 64y x = 32yPercentage of y with respect to x

= yx ×100= 100

32y

y =

258 %=

13 %8

80. (C) Volume of the cylinder = 2r h= 2r × 7 = 7 2r cm3

Volume of the cone = 13

2r h

Volume of the cone = Vol. of the cylin-

der 13

2r h = 7 2r

h = 21cm

81. (D) cot ( 1 + 2) = 3 cot ( 1 + 2) = cot 30º (i)

1 + 2 = 30º

cosec ( 1 - 2) = 23

cosec ( 1 + 2) = cosec 60º

1 - 2 = 60º (ii)From (i) & (ii) 1 = 45º, 2 = –15º

cos2 1 + cos3 2

cos90º + cot (–45) 0 – 1 – 1

82. (B)3a + 11b = 63a + 21b – 106 = 60a b = -6a

ab = – 6

6 26 2

= 84

= 12

83. (D) Average speed = yxxy

2

= 2 30 50

80

= 37.8 km/hr.84. (A) Let each exterior angle = x

Each inteior angle = 12xº + 24 xº + (12x + 24) = 180º 13x =156º x = 12º Then,

360x = 12 (where n = no. of sides)

36012 = 30

85. (C) Original cone = 13

2r h

New cone = 13 ×4r2 × 2

h

2,2 hhrr

= 22

3r h


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New Volumeoriginal Volume =

2

2

213

r h

r h

=

hr

hr

2

2

31

32

= 2 : 1

86. (B)

2411

2311

2211

2111

2011

=2120 ×

2221 ×

2322 ×

2423 ×

2524

= 2520 =

54

87. (A) Sum of numbers = nxsum of n number when 38 is subtracted fromany 2 no. S

= nx – 38 – 38 nx – 76

new average = 76nx

n

n × (x – 19) = nx - 76 19x = 76 n = 4

88. (B) Milk : Water 133 : 76 88 : 121 99 : 110

Milk : Water 7 : × 19

× 11

× 11

8 : 11 ) 9 : 10 )

133

11

88

99

34

Ratio 11 : 3489. (A) Area of the square = 484 cm2

its side = 484 = 22 cm

Perimetre of square = 22 × 4 = 88 cmPerimeter of square = Length of wire =

Perimeter of circle

Radius of circle = 288

= 14 cm

Area of circle = (14)2 = 616 cm2.

90. (C) 55º

31º

x

yx 2 + y2

sin 31º = 2 2

yx y

cos = (90º – 59) = 2 2

yx y

cos 59º = 2 2

yx y

sin2 59 = 1 –

22 yx

y

sin 59º= 2 2

xx y

cosec 59º = 2 2x y

x

91. (D) Let r1 and r2 be radii of two circles

º180º901r = º180

º1202r

r1 : r2 = 4 : 392. (A) f ( ) = cos3 + sin8

= cos3 + (1 – cos2 )4

f (0º) = 1+ (1 – 1)4= 1

[Maixmum value of cos2 =1]= 1 + 0 =1

93. (C) In ABC,

(x + 3)2 + x2 = 23 5

x2 + 9 + 6x + x2 = 45 2x2 + 6x – 36 = 0

x2 + 3x – 18 = 0 (x + 6) (x – 3) = 0

x = – 6, and x = 3 AB = 6, BC = 3

sec2 A =

23 5

6

=45

tan2 C = 2

36

= 4

sec2 A + tan2 C = 45

+ 4

sec2 A + tan2 C = 214

94. (C)x + 816492 × 816494 = A square numberx + (816493 – 1) (816493 + 1) = square numberx + (816493)2 – 1 = A square numberMinimum value of x =1


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95. (C) Sum of quadritateral ADOE = 360º

135º

A

O

B C

DOE = –(135º – 90º + 90º + 360º)DOE = 45ºDOE = BOE (vertically opposite angle)

BOE = 45º

96. (C)36 360

100 = 129.6º

97. (D) Cost of leather = ` 16,200

Then, cost of fuel = 1816200

= ` 7,200

98.(D) Miscellaneous expenses = ` 9800 Difference between labour charges and

expenses of fuel = 14

9800× (16 – 8)

= ` 5600

99.(B) Required angle = 100)818( × 360º = 36º

100.(D) Required percentage = 3618 ×100

= 200%

151 (B); Change 'for' into 'on'152 (B); Remove 'the'153 (A); Remove 'in joy'. 'Beside herself'

means in great excitement and joy.154 (C); Change 'the' into 'an'155 (A);156 (B); Remove 'the'158 (A); To 'hang around' means to 'pass

time' or 'stay aimlessly159 (A); To 'back out' means 'to withdraw'

especially from a commitment.167 (C); Absurd means ridiculous (f7fp=5@35L;&4n)169 (A); 'Enrich' means to 'make it rich' or

'improve'. Improverish means 'tomake poor'

171 (D); Hazardour means 'harmful.172 (C); 'Gradient' means 'starting' (<+<57@p<+5bZ)173 (B); 'Deplorable' means 'that is to be

repented' (v 4 (l 59l t :d)193 (A); 'Promiscuous' means 'not restricted

to one class or person'.194 (A); Word formed from the sound that

it produces. E.g- buzz, pop etc.195 (D); Government run by civil servants

or bureaucrats.198 (A); Read option (A) as 'to have fun'


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SSC MOCK TEST – 69 (ANSWER KEY)

1. C2. C3. A4. B5. C6. C7. C8. B9. C10. A11. C12. B13. D14. C15. C16. A17. B18. B19. A20. D21. D22. C23. A24. C25. B

26. B27. D28. C29. B30. D31. A32. C33 D34. C35. C36. *37. D38. D39. D40. D41. D42. D43. C44. A45. C46. D47. C48. A49. C50. C

51. B52. C53. B54. C55. A56. D57. B58. C59. D60. B61. D62. D63. D64. A65. B66. C67. A68. A69. C70. A71. C72. C73. B74. A75. A

76. B77. C78. D79. C80. C81. D82. B83. D84. A85. C86. B87. A88. B89. A90. C91. D92. A93. C94. C95. C96. C97. D98. D99. B100. D

101. A102. A103. A104. D105. C106. C107. C108. B109. C110. D111. B112. B113. C114. A115. C116. C117. A118. D119. D120. B121. D122. C123. D124. A125. C

126. C127. D128. D129. A130. B131. A132. C133. D134. C135. C136. B137.B138. B139. B140. D141. C142. B143. B144. D145. D146. C147. A148. A149. D150. D

Note:- If your opinion differs regarding any answer, please message the mocktest and question number to 8860330003

151. B152. B153. A154. C155. A156. B157. D158. A159. A160. A161. C162. D163. C164. A165. D166. B167. C168. B169. A170. C171. D172. C173. B174. C175. B

176. C177. B178. C179. D180. A181. D182. C183. D184. C185. D186. B187. C188. A189. C190. B191. C192. C193. A194. A195. D196. C197. B198. B199. C200. B

CORRECTION OF MOCK TEST-68

25. (A) 40 children

R Q PLeft Right

Between P and R = 12 students45. (B/D)69. (*) 2.34 km/hr95. (*) 264108. (C)116. (C)166. (C)

ssc 69 (2)

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