Download - Rahul k. Gupta Ssc Mock Test - 63_2
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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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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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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'