Rahul k. Gupta Ssc Mock Test - 63_2

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

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1

1. (D) Incommunicative is opposite to Bigmouthed.In the same way complementary is oppositeto supplementary.

2. (B) Life is opposite to Death. In the same way"start" is opposite to End.

3. (A) Bismilla Khan is a Clarinetist, whereasBirju Maharaj is a Kathak dancer.

4. (C)5. (B) Pigeon is the sign of peace. In the same

way white flag denotes surrender.

6. (B) ::

7. (A)

8. (B)

9. (C)

10. (B)

11. (B) Hesitant is different from all three.

12. (C) A neurologist is a specialized doctor.

13. (A)

SSC MOCK TEST 63 (SOLUTION)

14. (B)

15. (D)

16. (A) All are cubes of a number except 206.17. (B) All are metal except bronze, which is an

alloy.18. (D) In option D all are planets but in other

option all do not belong to the samecategory.

19. (B)

20. (D)

21. (B)

22. (D)

23. (B)

24. (C)

25. (A)

26. (A) 41 4 + 1 = 5; 4 - 1 = 3; 4 1 = 4 and

85 8 + 5 = 13; 8 - 5 = 3; 8 5 = 40

Similarly,

58 5 + 8 = 13; 5 - 8 = 3; 5 8 = 40

27. (C)


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28. (C)

29. (B) The sequence goes 1, +1 and so on. 2 1 (1)16 17 (+1) 6 5 (1)18 19 (+1) 4 3 (1)14 15 (+1)

30. (A) Total time from 5 pm on Tuesday to 11pmon Wednesday is 30 hrs.Gain = 3 min slow + 5 min fast = 8 min

from 5 pm + 11 hrs 15 min = Wed. Morning 4 : 15

31. (B)

32. (C)

33. (C)

34. (A) The last day of any month of a year isFriday, then there will be total 4 Tuesdaysin that month.

35. (D)

36. (C)

37. (C) P and S represent a graduate or a teacher but not a politician.

38. (A)

All tents are houses possible.Only I is true.

39. (C)

40. (D)

41. (D) 14 W 16 R 4 V 3 P 5 = ? +

14 + 16 4 3 5= 14 + 4 3 5 = 18 15 = 3

42. (A)

43. (D)

44. (A)


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45. (B)

46. (D) 47. (D) 48. (C)49. (B) 50. (C)

51. (B)

ACB = 90 {Angle in a semi-circle is 90}CAB = 44

CBA = 180 90 44 = 46Again, ADC + ABC = 180 { ABCD iscyclic quadrilateral}

ADC = 180 46 = 134

52. (A)

ACE = BAC + ABC

ACD = 2

ACE=

2

ABCBAC

DBC = 2

ABC

In ABC,BAC + ABC + BCA = 180 ....(i)

In BCD,

2

ABC+ BCA +

2

ABCBAC + 30

= 180 .....(ii)By equation (i) and (ii)

BAC + ABC + BCA = 2

ABC + BCA

+ 2

ABCBAC + 30

2

BAC = 30

BAC = 60

53. (A) Sum = S.I. True Discount

S.I. True Discount

= 42 40

42 40

42 20

= ` 840

54. (C) A = B + 8

A B = 8A2 + B2 = 82

(A B)2 + 2AB = 82

2AB = 18 AB = 9

55. (B) Speed of the person in still water x = km/

hr and speed of current = y km/hr

x + y = 16

4 = 4km/hrs

x y = 16

16

3

= 3 km/hrs

on adding2x = 7 x = 3.5 km/hrs

56. (D)

Loss % = 20

68 100 =

500

17 =

729

17%

57. (B) Let the average in 8 tests be x, then

x 8 + 96 = (x + 6 ) 9 8x + 96 = 9x + 54

x = 42

present average = 42 + 6 = 48

58. (C) Alcohol = 3 litres

water = 15 litres

3

18 3100

100

7 =

214 %

7

59. (C) Marked price of a radio set = 380 140

100

= ` 532

S.P. = 532 90

100= ` 478.4

Gain percent = S.P. C.P.

C.P.

100

= 98.8

380100 = 26%

Shortcut:-

Net Profit = 40 10 + 100

)10()40(

= 30 4 = 26%


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60. (A) Third proportional of a and b =

2b

a

2

1 1

x y

x y

=

x y

x y

xy

= xy

61. (B) a + 1

4a = 14

a 4 + 1

4a = 10

on squaring both sides

(a 4)2 + 21

4a + 2 =100

(a 4)2 + 21

4a = 98

62. (A) Expression = (x + 3) (x 4)

x2 x 12 ax2 + bx + c

Minimum value =

24

4

ac b

a

= 4

)1()12(14 =

49

4

63. (B) tn+2

= tn + 1

+ tn

t3 = t

2 + t

1 = 3 + 4 = 7

t4 = t

3 + t

2 = 7 + 4 = 11

t5 = t

4 + t

3 = 11 + 7= 18

t5 = 18

64. (C) sec (A B) =2

3 = sec 30

A B = 30 (i)

Again,

cosec (A +B) =2

3= cosec 60

A + B = 60 (ii)

Add. (i) & (ii)

2A = 90

A = 45

A = 4

radian

65. (*) ABCD is a square

BD is diameter for the circle but diagonal

for the square.

BD = 2 OD = 4 unit

2 AB = BD

AB = 2 2 2

2

In a square : 2side diagonal( )

AB = 2 2

Area of square = 2

2 2 = 8 sq. unit

Area of four semicircles

= 4

2

2

r= 4

24

2

D

= 4 4 2

4 2

= 4 =

7

224

= 12.57 sq. unit

Area of circle = 2r = 4 = 12.57 sq. unit

Area of bounded region= Area of 4 semi circles + Area

of square Area of the circle

= (12.57 + 8) 12.57

= 8 sq. unit

66. (D) A : B = 3 : 4

B : C = 2 : 5

A : B : C

3 : 4 : 4

2 : 2 : 5

6 : 8 : 20

A:B:C = 3 : 4 : 10

sum = 17

A's share = 3

17 952 = ` 168

B's share = 4

17 952 = ` 224

C's share = 10

17 952 = ` 560

67.(B) Number of stoppages = 12

180 1 = 14

Total time= 180

45

hours + 12 14 min

= 4 hours + 168 min

= 6 hours 48 min

68.(C) A + B = 5 (B + C)

A + B + C = A + 40 [Given]

B = 5C [Given]

A + B = 5 (B + C) [Given]

A + 5C = 5 (B +C)


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5

A+5C = 5(6C)

A = 30C 5C

A = 25 C

A + B + C = A + 40

A + 5C + C = A + 40

A + 6C = A + 40

A + 6 A

25= A + 40

6A = 1000

A = ` 166.6 (167 approx.)

69.(A)

ADC = 80

ABC = 180 80 = 100 [D +B =180

PBC = 180 100 = 80 cyclic quad. ]

BCD = 180 20 = 160 [A +C = 180

PCB = 20 cyclic quad.]

PBC PCB = 60

70. (C) Maximum value of a sin + b cos

= 2 2a b

Maximum value of 8 sin + 3 cos

= 64 9 = 73

71. (C)

If any angle of a rhombus is 90 than it be-

comes a square.

i.e. length of the diagonal (DB)

= 2 9

2= 9 2 m

72. (A)Q = S

r

S = r Q

S = r1 Q

1 = r

2 Q

2

7

9

35

45

1

2

2

1

Q

Q

r

r

73. (C)

Q = 180 [ 180 = 180

180]

= 3

5

radians

Arc BC = S = 66m

Q = S

r

3

5

=

66

r

r = 66 5 7

3 22

r = 35 m

74. (A)

AB = 8 cm, CD = 6 cm, Radius = 5 cm

AE = 2

AB = 4 cm

OA = 5 cm

OE = 2 25 4

= 9 = 3 cm

Again, CF = 2

CD= 3 cm

OC = 5 cm

OF = 2 25 3 = 16 = 4 cm

EF = OF OE = 4 3 = 1 cm

75. (C) x + 3264 3266 = A square number

x + (3265 1) (3265 +1) = square number

x + (3265)2 1 = A square number

it is possible when x = 1


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76. (A)Percentage decrease = 40

100140

= 200

7

= 28.5%

77. (A)Work done by A and B in the 4 days =

4

20

1

16

1 = 4

9

80 =

20

9

Work done by C in 4 days = 11

20 i.e.

20

91

C will complete in 80

11 days

Ratio of wages = 1

16:

1

20:

11

80

= 5 : 4 : 11

Amount received by B = 4

20 800

= ` 160

Shortcut:-

Ratio of wages of A, B and C = 5 : 4 : 11

Amount received by B =4

20 800

= ` 160

78. (C) Incomes of A and B = ` 5x and 6x

Expenses of A and B = ` 2y and 3y

5x 2y = 330 (i)6x 3y = 330 (ii)

5x 2y = 330

4x 2y = 220

subtract

x = 110

Total income = 6x + 5x = 11x

= 11 110 = ` 1210

79. (A) Chiku 1 hour's work = 35

7 = 5 pages

Deepti 1 hour's work = 9

54= 6 pages

1 hour's work of both = 5 + 6 = 11 pages

Required time = 88

11hrs = 8 hours

= 8 hours

80. (C)

ACD = 180 ACB = 114

CAD = ADC = 2

114180 =

66

2= 33

ABC = 180 112 33 = 35

81. (B)

CBF = CDA { angle property }CDA = 105CDA + y = 180{ linear pair }

y = 180 105

y = 75

82. (A) Let the two number be x and y

x y = 12 (x y)

xy = 12x 12y (i)

and x + y = 10

y = 10 x (ii)

from (i) & (ii)

x (10 x) = 12x 12 (10 x)

10x x2 = 12x 120 + 12x

0 = x2 + 14x 120

x2 + 20x 6x 120 = 0

x = 6, x = 20

Putting x = 6 in eqn (ii)

x + y = 10

y = 4

larger number = 6

83. (A) L.C.M. of number = 60

H.C.F. of number = 6

Let the numbers are 2x and 5x


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10x2 = 60 6

x2 = 36

x = 6

The larger number = 5x = 5 6 = 30

84. (B)

9246 46

47 47

Now,

9246

47, remainder = 1

and, 46

47, Remainder = 46

So, net remainder = remainder of 1 46

47

= 0

85. (C) Let the number in the given AP be n.

Sn = n

2[2a + (n1) d]

126n = n

2 [2 152 + (n1) (2) ]

252 = 304 + (n1) (2)

252 = 304 2n + 2

27 = n

So, the number of terms = 27

86. (A) S.P. mixture = ` 35

profit = 40%

C.P. of mixture = 35 100

140

= ` 25

Required ratio = 1 : 2

87. (C) Total time taken by B = 48 min

So, time taken by A = 7

48 min

Work done by both the pipes in 1 minute

=

48

1

48

7=

8

48

= 1

6 part of cistern.

Hence they will fill the cistern in 6 minutes.

Shortcut:-

They will fill the cistern = 8

48 = 6 minutes

88. (B) Distance is 11

162

= 88 km

New time = 2

11

2

7 = 2 hrs

new speed = 88

2 = 44 km/hr

89. (C) Area of four walls of a room

= 2(8 3 + 4 3) = 72 m2

So, required length of paper = 72

0.6= 120 m

90. (A) Let radius and height of cone are 4x and 7x

Volume of cone = 1

3

(4x)2 7x

1008 = 1

3

16x2 7x

27 = x3

3 = x

radius and height = 12 cm & 21 cm

So,

slant height of cone = 22 )21()12(

= 585 = 24.18cm

91.(C) Volume of ice compartment

= 18 6 3 = 324 cm3

Volume of one ice cube = (3)3 = 27cm3

So, Required number of cubes = 324

27= 12

92.(D) S = a b c

2

=

5 13 10

2

= 14

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

= 14 (9) (1) (4)

= 6 14

r = s

=

6 14

14

r = 3 14

7 cm


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93.(B) Let the speed of the current be x km/hr

8

8 x= 2

8 = 16 2x

2x = 8

x = 4 km/hr

94.(C)

a b

a b=

2 2

2 2

2

2

a b ab

a b ab

a b

a b=

121 2 52

121 2 52

=

225

17 =

15

17

95.(C) The external dimensions of the box are

length = 18cm, Breadth = 16cm

height = 12 cm

External volume of the box = 18 16 12 cm3

= 3456 cm3

Thickness of wood = 1cm

Internal length, breadth and height = (18

2),

(16 2) & (12 2) = 16, 14 and 10 cms

Internal volume = 16 14 10

= 2240 cm3

Volume of the wood = (3456 2240) cm3

= 1216 cm3

96.(A) New Zealand = 25

Germany = 15

(25 15)100

15

=

2100

3

=2

663

% New Zealand

97.(A) Required % = 30

25100 = 120%

98.(B) Required Ratio = 36

15= 2.4

99.(C) Required Ratio = 30 : 10 = 3 : 1

100.(C) Required % =30 15

30

100 =100

2= 50%


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9

SSC MOCK TEST 63 (ANSWER KEY)

1. D

2. B

3. A

4. C

5. B

6. B

7. A

8. B

9. C

10. B

11. B

12. C

13. A

14. B

15. D

16. A

17. B

18. D

19. B

20. D

21. B

22. D

23. B

24. C

25. A

26. A

27. C

28. C

29. B

30. A

31. B

32. C

33 C

34. A

35. D

36. C

37. C

38. A

39. C

40. D

41. D

42. A

43. D

44. A

45. C

46. C

47. D

48. C

49. B

50. C

51. B

52. A

53. A

54. C

55. B

56. D

57. B

58. C

59. C

60. A

61. B

62. A

63. B

64. C

65. *

66. D

67. B

68. C

69. A

70. C

71. C

72. A

73. C

74. A

75. C

76. A

77. A

78. C

79. A

80. C

81. B

82. A

83. A

84. B

85. C

86. A

87. C

88. B

89. C

90. A

91. C

92. D

93. B

94. C

95. C

96. A

97. A

98. B

99. C

100. C

101. A

102. B

103. D

104. A

105. B

106. B

107. D

108. D

109. C

110. A

111. C

112. B

113. A

114. A

115. A

116. D

117. C

118. B

119. D

120. C

121. C

122. C

123. C

124. C

125. C

126. B

127. C

128.C

129. B

130. C

131. D

132. A

13B.C

13C.B

135. D

136. C

137. B

138. D

139. D

140. D

141. B

142. C

143. A

144. A

145. C

146. B

147. C

148. A

149. D

150. C

Note:- If your opinion differs regarding any answer, please message the mock

test and question number to 8860330003

151. A

152. D

153. D

154. C

155. C

156. C

157. D

158. D

159. B

160. C

161. D

162. C

163. D

164. D

165. D

166. A

167. A

168. A

169. C

170. B

171. C

172. D

173. B

174. D

175. A

176. A

177. C

178. C

179. C

180. A

181. B

182. B

183. B

184. B

185. D

186. C

187. C

188. C

189. A

190. C

191. C

192. B

193. D

194. A

195. D

196. A

197. B

198. B

199. B

200. C

175 (C); Change 'for' into 'on'. 'Go for' is a phrasal verb which means to 'choose' or to

have a 'liking for'

176 (A); Change 'passers bys' into 'passers by'

177 (C); Change 'on' into 'in'

178 (C); Change 'against' into 'with'

179 (C); Change 'and' into 'but'

180 (A); Change 'Its' into 'it's'

181 (B); Change 'since' into 'for'

182 (B); Change 'had' into 'have'

183 (B); Change 'of' into 'for'

184 (B); Change 'may' into 'should'

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Rahul k. Gupta Ssc Mock Test - 63_2