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8/12/2019 Ssc Mains (Maths) Mock Test-14 (Solution)
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1.(B) 0.00001225
0.00005329 =
1225
5329 =
35
73 A.
2.(A) 5 11 19 29 49
= 5 11 19 29 7
= 5 11 19 6
= 5 11 5
= 5 4 = 3 A.
3.(C)
3 214 53
16 1512
625 243
4 3/42/5
1/3
2 1243
5 (512)
35 2/5
3 1/3
2 13
5 8
28 13
125 8
9
125A.
4.(C) L 10+ .
,
+ = 12 ...... ()
A,
10+ 18 = 10+
9 9= 18 ...... ()
= 2
O () & (),
= 7, = 5
. = 10 7 + 5 = 75 A.5. (D)' 212 64
= ' 212 ' 64
= ' (26)2 ' (62)2
= ' 642 ' (36)2
= ' 42 ' 62
= 6 6
= 0 A.
6. (C)
32 10 = 22
40 18 = 22
72 50 = 22
L.C.M. 32, 40 72 22.
L.C.M. 32, 40, 72 = 1440
. = 1440 22
= 1418 A.
7. (C)L.CM 73, 713, 711, 718
= 73 A.
8. (A) . L.C.M 12,
16, 24 30 + 7.
LCM =
L.C.M = 2 2 2 2 15= 240
. = 240 + 7 = 247 A.
9. (B)
F
C
() = 450, (F) = 325, (C) = 175, (FC)' =50
(FC)' = () (FC)
50 = 450 (FC)
(FC) = 400
N, (FC) = (F) + (C) = 175 (FC)
400 = 325 + 175 (FC)
(FC) = 100 A.
450 = 325 + 175 + 50
= 550 450 = 100 A.
10.(B) H = 100%
A = 40%
B = 50%
A B = 10% N,
= ()(AB)
8/12/2019 Ssc Mains (Maths) Mock Test-14 (Solution)
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= () (A) + (B) (AB)
= 100 40 + 50 10
= 100 80
= 20% A.
11.(B)
20% = 600
=
20
100600= 3000
= 80% 80% 3000 + 75% 20% 3000
=100100
30008080
+100100
2075
3000
= 1920 + 450 = 2370 A.
12. (A) G,
= 10000
10% I
20% II
30% III
, 3
= 10000
100
301
100
201
100
101
=11 4 13
1000010 5 10
= 11,440 A.
13. (A) G,
= 60
F ,
=
60 2012
100
L
=
N = (60+ )
F ,
15
(60 ) 12100
60 + = 80
= 20
20 . A.
14. (A) G, = 200 .
& C : = 2 : 3
C =2
200 805
. &
=
3200 120
5
.
F ,80 3
120 2
80 + = 180
= 100
C 100 . A.
15. (B) L . =
= 95 ..... ()
,
= 15 525 + ( 15) 85 ..... ()
F () & ()
95 = 15 525 + (15) 85
95 85 = 7875 1275
10 = 6600
= 660 A.
16.(C) L =
= 6 = 6
& = . 6 =6
%
=6
6 1006
=(36 1)
1006 6
=35
1006 6
=1750
18
= 97.22
= 97% (A) A.
17.(C) = 25% (D)
= 25% ()
C.. = 1440
. . = C. . 1100
=25
1440 1100
=
5
1440 4
8/12/2019 Ssc Mains (Maths) Mock Test-14 (Solution)
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.. = 1800
. . 1800 1800 4 M..
25 31 1
100 100
= . 2400 A.18. (A) G
. 32 = 1
. = 1/32
L% = 40%
, C.. = .
L%1
100
=1/32
40
1 100
, C = 5/96
= 20%
N, .. = C..%
1100
=5 20
196 100
= 1/16
N. O .
1 =
1
1 16
= 16 A.
19. (D) L & .
F 1 ,7
8 282
F 2 , =28 28
524/5 24
35 556 6
A.
20. (B)
L ''
,
20 + 30 = 500
, (20 + 30)= 500 = 10
F A = 20
= 20 10
= 200 A.
21. (C) H, A = 20 B = 15
A & B 6
= A B 6A B
=20 15
620 15
=35
10 5 = 7/10
=7 3
1 10 10
F
A & C 4 =A C 3
4A C 10
,20 C 3
420 C 10
40 + 2 = 3
= 40 A.
22.(D) 1
= 1 1 1: : 6 : 4 : 32 3 4 A.
23.(D)
=
1
3&
=
5
7
3= + & =7
5(+ )
7
5(+ ) = 3
5+ 5= 21 7
12= 16
=
4
3
A,
= 3
= 33
4
=3
49 =
3
5
N, : (+ )
= 3
4
:
3
5
8/12/2019 Ssc Mains (Maths) Mock Test-14 (Solution)
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=3
4:
3
8= 1 : 2 A.
24.(D) L
F
= 23
A,
1
15
,
213
2 15
3
,=75
2
2
3
=2 75
3 2
= 25 A.
25.(C)F ,
( + ) = 1/8.......()
( + ) = 1/6.......()
( + ) = 1/10.......()
. () + () + ()
2 ( + + )
=
10
1
6
1
8
1=
120
47
( + + )
=120
47
. =240 5
547 47
A.
26. (A) L & . & . .
15% 5% = 7
15 5= 700
3 = 140 .... ()
5% + 10% = 13
5+ 10= 1300 .... ()
+ 2= 260
O () & (),
= . 80
= . 180 A.
27. (A) L C = . 100
, = . 120
90% M = . 120
M = .90
100120
N = 80% M
= .100
80
90
100120= .
3
320
G % =3
320 100 =
3
20% A.
28. (B)L = /
= .
N, =3
4/
& = ( + 20)
A,
=3
4 ( + 20)
4= 3 + 60
= 60 A.
29. (C) =550
/1
= 550 /
=33,000
/45
=3
2200 / .
=550
2200
3
= 3 : 4 A.
30. (C) A & B
2 =2
1
6
1
4
1=
24
5
(A+B)
4=5 5
424 6 ..............()
=5 1
1 6 6
A 1/6 = 41/6 = 2/3 .......................()
(A+B)
=2
43
=2
43
A.
31.(A) L = . , = 7%, = 2
.I. =
7 2 7
100 10050 50
8/12/2019 Ssc Mains (Maths) Mock Test-14 (Solution)
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A,
7 1750 5 4
50 100
7= 1750 10
175 1007
= 2500 A.
32.(C) = 800
. I. = 920 800 = 120
= 3
. . I. =
100
, 1 =. I. 100 120 100
800 3
1= 5%I 3%
2= 1+3 = 5+3 = 8% & = 3
N, . I. =
100
=800 8 3
100
= 64 3
= 192
= 800 + 192= 992 A.
33.(A) L, =.
A K = .10
= .
10
= .9
10
F ,
K = .
9
4
10
9
10
=2
10 5
= .
2
A, 2
= 325
= 630
= 2 2
= 325 A.
34.(A) G,
C.. = 4042
L =.
F ,
2
10
51
100
51
= (4042 1520)
3
100
51
, = 926.10 A.
35.(B) G,
= 2000
A = 2662
= 1
12 = 3
, =2
%
A,
100
21=
,
32662
1200 2000
,
311
1200 10
,11
1200 10
= 20%
36. (B)1 1
1
M D
=
2 2
2
M D
100 60
1/5
=
120
11
5
= 200, = 200 100
= 100 A.
37. (D) L . .
,90% 70% 80% = 10080
=807090
10010010010080
= . 20,000 A.
38.(B) L C = . A,
B =20 6
100 5
& A =6 6 25 3
5 5 100 2
A, ,
8/12/2019 Ssc Mains (Maths) Mock Test-14 (Solution)
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3 6
7402 5
= 200 A.
39. (C) L 3 .
, I = 10070
2 = 100
63
% =
100
63100
7
100
=100
7
63
100100 =
9
100%
= 11.11% A.40.(C) M.. = 125
D% '' = 31%
% = 15%
. . = M.
1 100
=31
125 1 100
86.25
C. . =. . 86.25
7515
1 1100 100
41.(D) L = .
F ,
1 14 5 25,000
4 25 7
,1 14 5
25,0004 25 7
= 2,50,000 A
42. (B) G, A : B : C = 2 : 3 : 4
L, A = 2, B = 3, C = 5
N,
B+C C+A A+B : :
A B C
=3 5 5 2 2 3
: :2 3 5
=8 7 5
: :2 3 5
=7
4 : : 13
= 12 : 7 : 3 A.
43. (D) L M.. = .
F ,
. . = .5
2
L% = 25%
C. =.
L%1
100
, C. =
100
251
5
2
C. =15
8
=..C
..M=
15
8
= 15 : 8 A.
44. (C) L .
22 = 24 ( 3)
22= 24 72
2= 72
= 36
. 36. A.
45. (D) : : = 24000 : 33000 : 48000
= 24 : 33 : 48
= 8 : 11 : 16
L =
7 8
3908 35 8
, 1200 A.
46.(B) L, =
5 = 5 = 5
F ,
5 = 5 52 54 + 45
, 5 = 260 9
, 5= 251
= 50.2 A.
47. (A) L =
= 172
N, F
40 50 (+ 172) = 38 48
8/12/2019 Ssc Mains (Maths) Mock Test-14 (Solution)
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= 174A.
48.(A) L = =
D = ...............()
A,
N = 43
& N = + 10
=3
4
( + 10)..............()
F () & ()
3 10
4
= 30 A.
49. (B) L =
& =
=
=2
, = 2
=
22
=1
4
=
4
1 =
44 :1
1 A.
50. (C)G, A : B
=7
:14
= 7 : 4
A : B = 4 : 7
, L A & B 4& 7
.
F ,
74
74
= 7
11
4 2= 1
= 11/4
A
=11
4 4 114
A.
51.(C) =)2)((
)2)((
= )2)((
)2)((
+ =)2)((
)2)()(2)((
=
=)2)((
)22( 22
=)2)((
)(2))((
=)2)((
)2)((
=
+ + = 0 A.
52. (A) 6.......................()
= 11...................()
() 222
().......................()
F . ()
( )2 36
,2+2+2 +2 = 36
,2+2+2 +211=36 ()
,2+2+2 = 3622
2+2+2 =14.........................()
(), (), () (),
2
+2
+2
3 = 6 (14 11) 6 3 18 A.
53. (B)
2 2
2 2
3 2 5 4
5 6 7 12
=1 2 1 4
2 3 3 4
=1 1
3 3
= 1 A.
54. (B)
2 2 2
2 2 2 2 2
=
2 2 2
2 2
2
=
22
2 2
=
8/12/2019 Ssc Mains (Maths) Mock Test-14 (Solution)
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=
A.
55. (C)
OM AB
AM = MB =2
1AB =
2
1 3
OM2= OB2 MB2 = 24
32=
2
2
OM =2
A.
56.(C)
CD EF & EC .
ECD + CEF = 180
30 + CEF = 180
CEF 150 A.
57.(A)
I C ABCD,
ADC + ABC = 180
, ADC + 70 = 180
, ADC = 110...........................()
N, ADC
CAD + ADC + ACD = 180
, 30 + 110 + ACD = 180 () ACD = 40 A.
58. (D) BOD = 180 AOD= 180 106 = 74
BOD = 2 BCD
74 = 2 BCD
BCD = 37 A.
59. (A) = 1
( + ) = 1
( + ) = 1
+ = 0
= N,
. = ( ) 1 A.
60. (B) 2 1
2
2 1
2
N,
.2 2
2 2 .
2 2
1
1
1+
1
1
1
2
2
1
1
3 3
1
1
1
1 3
1
3 1 = 3 A.
(D) 3( )
, 3
( 2 ) 1
, ( 2 ) 3 1
( ) 3 1
2( ) 4
2( ) ( ) 2
1( ). 2
( ) 2
( ) 2 0 A.
62. (C) 2 + 2 2
2
21 +
2
21 2
1 2
1 2 + 2 2
8/12/2019 Ssc Mains (Maths) Mock Test-14 (Solution)
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1 2
12 ( + ) ( ) (1 2 )
1 ( + ) ( ) 1 + 2
( ) + 2
( ) + ( )
( ) ( + )
2
2 A.
63. (B)
A = =1
21(23)+2(31)+3(12)
=1
23 (32)+2(21)+(13)
=1
23 + 42 2 + 32
=1
2
2 + 2 .
64.(C)
L E =
G, E
2 23 4 3 4
, = 4 = BC
BD = 2
I ODB
30 = 2/OB
, 3/2 = 2/OB
OB = 4/ 3 = .
= 2
=16 1
53 3
2 A.
65. (B)
= A
+
= 72 48 72 2 48 2 + 2 2
= 3456 144 96 + 4
= 3220 2A.
66. (A) L 23, 22.
21= 23................() & 22= 22...................()
1
2
23
22 ( () & ())
1= 223
22
...............()
, 1 2 = 5.............()
() (),
2 2
23 5
22
2 = 110 A.
67.(C) G,
1= 10.5
& 2= 3.5 & =3
=3
1
4
3
& =2
2
1
3
N. =
3
1
2
2
4
31
3
=
3 31
2 22
4 4 (10.5)126
(3.5) 3
A.
68. (A) G,
...............()
...............()
8/12/2019 Ssc Mains (Maths) Mock Test-14 (Solution)
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F () & ()
=
= 2 2
...............()
& + =
=( ) ( )
( ) ( )
=
2 2
2 2
, + =
2 2
2 2
..............()
F () & ()
A.
(C)2 4+ 1 = 0
12
4
1 = 4
31
3()
1
1= 3
3 1
43 3(4) = 33 1
64 12 = 33 1
52 = 33 1
A.
70. (C) G,
= ( )
= ( )
= ( )
,
3 3 3
= ( )3+ ( )3 + ( )3
= 3.( ) ( ) ( ) ( ) + ( )+( )= 0
= 3.
=3
A.
71. (D) G
+ + = 0............()
F ()( + + )2= 0
, 2+2+2+2(++)=0
, 2+ 2+ 2 =2(++)
, (2+2+ 2)2= 4(++)2
, (2+2+2)2=422+22+22+2(++).
, (2+2+2)2=4(22+22+22)
(++=0 ())
,
22 2 2
2 2 2 2 2 2
4
A.
72. (D) 6+ 4.22.46
= 6+ 4(1 2) (1 2)
4 6
= 6+ 4 6 4+ 66
= 4 4
= (2+ 2) (2 2)
= 2 2A.
73. (C) 720 270 150.120
= (2 360 + 0) (270 + 0)
(180 30). (90 + 30)
= 0 0 + 30. 30= 0 0 + 230
= (1/2)2
=4
1A.
74. (A) G,
= 1=1
1
=1
2
=1
2
N, 3 38 5
2 7
8/12/2019 Ssc Mains (Maths) Mock Test-14 (Solution)
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=3 3
1 18 5
2 2
1 1 12. 7.
2 2 2
=
13
21 1 7
2 2 2 2
=
13/ 2
11 7 / 2
2
=13
13/2
= 2 A.
75. (A) G,
2
2 2
3
,
2
22
2
3
1
,
2
2
3
, =13
= 30
= 30 =3
2 A.
76.(A)
G+ = 3...........()
L, = 4/3
=5/3
, (),
5 43
3 3
, 9/3 = 3
, 3 = 3
L.H. = .H.
C, =3
5A.
77. (B)
1 2 2 1
1 2
2 3 3 2 6 6
02 3 1
& =1 2 2 1
1 2
2 5 3 1
2 3
10 3 77
1 1
= (, )
= (0, 7) A.
78. (C)
A 8 =2
8
= 64F ,
A 1=64
3
, 2
1
64
3
, 1=8
3 .............()
A, 2 =
642
3
, 2
2
64 2
3
, 28 2
3
.................()
= 1: 2: 3
= 8 8 2
: : 83 3
= 1 : 2 : 3A.
8/12/2019 Ssc Mains (Maths) Mock Test-14 (Solution)
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79. (D)
=4
4 2
=1
2 = 1 : 2
80. (A)
= ()3
= 23
= 8 3
=
=22
1 27
=344
7
=44
8 7
=312
7 A.
81. (A)
A = 1440 2
= 24
= 3
= 5
+ = 8
=1
14402
,1
8 24 14402
= 15
= 5
5 15 = 75 A.
82. (C)
A B C
,
100 20
AC 10
AC =10100
20 A.
83. (C)
1 O
2
144
2 = 22
90
I ,
= 1809022 = 68A.
84. (C)
G, CEBD
BAD = 110
ABD = 30
ADC = 75...........................()
BCD = 60
I ABD,
8/12/2019 Ssc Mains (Maths) Mock Test-14 (Solution)
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BAD + ABD + BDA = 180
, 110 + 30 + BDA = 180
, BDA = 40....................()
F () & ()
BDC = 75 40 = 35
CEBD
CBD = (A )
N, BCD
+ 60 + 35 = 180
, = 85 A.
85. (C) 21
2
= 2 A.
86. (B) = 18
A = 2(18)
= 324 .A =324 (183)2
= 324 225= 99. .A.
87. (A)
A 2ABCD F ,
EG = 2 2
EF =2 2
2 = 2
A 2
EFGH 2
= 42
= 4( ABCD ) A 4 . A.
88. (B) D = 14
1= 7
L = 2
G, =1 7
2 3 3
F ,3 2
1 2
4
3
, 3 2
1 2
4 .
3
,3 2
2
4 7. 7
3 3
2 = 14
D = 28 A.
89. (D)
ABC .
BAC 60
BDC = BAC = 60
(
) A.
90. D
B C 75 30 45
& A =180 75 = 105
CBA 105 45 60 A.
91. (C)
G BDC 42
ADC = 90
ADB = 90 42
, ACB = 48 A.
92. (D) % =
1
10 1001
=1
10010
= 10% A.
93. (D) =
1 1 11
3 6 10
8/12/2019 Ssc Mains (Maths) Mock Test-14 (Solution)
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=10 5 3
1 30
=
181
30 =
31
5
=5
2A.
94. (B) =1 1
:3 6
= 2 : 1 A.
95. (B) =16 14
360100
=30
360100
= 108 A.
96. (A) = 70% 50
=70
50100
= 35 A.
97.(C) A
=74 71 75 90 80 86
79.33 806
C,
2003 A.
1999 2004. A.
99.(C) I 2003
+ = 21 + 12 = 33
+ = 13 + 20 = 33 A.
100.(D) G,
= 80
25% 80 =80
25100
= 20
C, I . A.
8/12/2019 Ssc Mains (Maths) Mock Test-14 (Solution)
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1. B2. A
3. C
4. C
5. D
6. C
7. C
8. A
9. B
10. B
11. B
12. A
13. A
14. A15. B
16. C
17. C
18. A
19. D
20. B
21. C22. D
23. D
24. D
25. C
26. A
27. A
28. B
29. C
30. C
31. A
32. C
33. A
34. A35. B
36. B
37. D
38. B
39. C
40. C
41. D42. B
43. D
44. C
45. D
46. B
47. A
48. A
49. B
50. C
51. C
52. A
53. B
54. B55. C
56. C
57. A
58. D
59. A
60. B
61. D62. C
63. B
64. C
65. B
66. A
67. C
68. A
69. C
70. C
71. D
72. D
73. C
74. A75. A
76. A
77. B
78. C
79. D
80. A
81. A82. C
83. C
84. C
85. C
86. B
87. A
88. B
89. D
90. D
91. C
92. D
93. D
94. B95. B
96. A
97. C
98. D
99. C
100. D
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