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8/12/2019 Ssc Mains (Maths) Mock Test-17 (Solution)
1/14
1. (C) L =
T,
7
6
< 21
16
126 21< 112 16
>5
14
> 2.8S, 3.
2. (C) G :
=
12
14
12
23
2
5
2
1
4
5
4
13
=
3
1
12
1
2
5
2
1
4
5
4
13
=
12
14
12
13
2
5
2
1
4
5
4
13
=31
12
130
2
1
4
5
4
13
=
3
1
24
29
4
5
4
13
=
3
1
24
1
4
13
= 4
13
24 3
= 13 18 = 234
3. (C) LCM
2
152 = LCM
2
112
R =21HCF
112LCM
=1
22= 22
4. (D) L = N. 2 = 18 ATQ,
10+ 4(18 ) = 110
= 82 = 10
N = 10 10 + 3 38 = 1245. (C) 1 9 .H, 116 1044.F 116 , 12 8 .N, = (12 + 8) = 20 2 .
M .
= 116 + 12 + 2 = 1306. (A) Q M
= 2
1+ 4
1+ 8
1+ 16
1+ 32
1+ 64
1+ 128
1
=128
127
P =128
127 100
= 99.22%7. (D) L 232= L (232+ 1) = (+ 1)
.T, (296+ 1) = (3+ 1)
= (+ 1) (2 + 1) (+ 1) .
8. (*) I , = 19
=5
118 19 =
5
4
L < 0
1+ ( 1) < 0
19 + ( 1) 5
4< 0
>4
324 = 25
H, 25 24 .
T . S, 24 .
M = S24
=2
24
5
4)124(192 =
5
1235
9. (C) F , G1= 1
C =
1
S = =
1
1
8/12/2019 Ssc Mains (Maths) Mock Test-17 (Solution)
2/14
=
11
1
= 1 +
10. (D)
F , + = 40; + = 40+ = 30 + + + 3= 100 ()
S 3,
+ + + + + + = 150 + + + 110 2= 150
F (), + + + = 110 2 + + = 150 110 + 2 + + = 150 110 + 20
= 10, + + = 60H, 60.
11. (C) L A B , .T,
= 3 ... ()A D = 2 A = 2.
A C =2
1 B =
2
1
S, 2 2= 30
4 = 60 ... ()S E. () E. (),
3= 57 = 19 = 16
T,S, A = 19 B = 16.
12. (B) P = 25% =4
1, = 10 /
Q = 45% =100
45=
20
9, = 5 /
R = 30% =100
30=
10
3, = 15 /
R
=
1
=
1510
3
520
9
104
1
1
=
200
4185
1
= 27200
= 7.40 /
13. (A) .
A =
=
101530
=
30
6
3
=
6
303
= 15 /
14. (B)
A 18% =
3
2
A 90% =3
1
N
=3
1 27 = 9
15. (C) S .
R =
=
=100
5
=20
1= 1 : 20
16. (D) 6440 8 .
=
12
818100
1006440
=112
1006440= 5750
C, 10000 .17. (A) G ,
P = 20000T = 2 R = 10%A = ?
A ,
P =
100
1
2000 = 2
100
101
=
1111
1010
A =1010
11112000
= 20 121 = 2420
8/12/2019 Ssc Mains (Maths) Mock Test-17 (Solution)
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18. (B) R (4 + 5) = 9 /H, 81
=9
81= 9
I 9 , 9 4 = 36 .19. (C) L
1
2 A B,
.
100
1+ 5 =
2
80
... ()
1001
=2
60
S E. () (),
2= 4,
1=
15
100
H, A
15
100
200= 30
20. (D) L .T,
=
/
A,2
4.
N =
4
1
2 /
R =
:
8 = 1 : 81 = 8 : 1
21. (B) R A, B C= 20000 5 + 15000 7 : 20000 5 +
16000 7 : 20000 5 + 26000 7= 205 : 212 : 282
B'
= 69900 699
212= 21200
22. (D) H, P1: P
2: P
3= 2 : 3 : 5
1:
2:
3 = 4 : 6 : 9
ATQ,
1
1
: 2
2
: 3
3
4
2:
6
3:
9
5=
2
1:
2
1:
9
5
2
1 18 :
2
1 18 :
9
5 18
9 : 9 : 1023. (B) L .
1
=60
3 + = 20
1
=60
4 = 15
=2
35/
T =
2
35
1=
35
2
=35
2 60 =
7
33
24. (D) L B ()=
T A ()
= +100
80
=5
9
A ,T
=
45 =
5
95
9
45 5
14=
5
9 2
=9
1445= 70
25. (B) L 8 .N,
L + M ( 1)+ N ( 3) = 0
15
+
12
1
4
3= 0
4+ 5( 1) 15( 3) = 8 6= 40
=3
20
= 6 40 T 6 40 8
.., 2 : 40 .26. (B) I 5 , (4 + 6 )
= 1600
I 1 , (4 + 6 )
=5
1600= . 320. .... ()
I 1 ,
1 =64
1740
.... ()
S, I 1 ,
1 =)73(6
1740
=73
290
.... ()
8/12/2019 Ssc Mains (Maths) Mock Test-17 (Solution)
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F E. () (),
64
320
= 73
200
96 + 224 = 116 + 174
20 = 50
M=
2
5
1 =5
2
F E. (),I 1 ,
(4 + 6 ) =
5
264
=5
32 320
I 1 , 1 =32
5320= 50
I 1 , 1 = 50 5
2= 20
I 1 , (7 + 6 ) (7 50 + 6 20)
R =470
3760
= 8 27. (C) G ,
= 40%
A ,R
=
100
40100
40%
=
100
140
40%
=7
200% = 28
7
4%
L 100,
P = 140
R =14040 100%
= 287
4%
28. (C) =
4
12
2
12
=
4
92
5
=9
10
R =9
1 100%
= 11 9
1
%
29. (A) G ,= 20%
A ,R
=
100
20100
20%
=3
50% = 16
3
2%
L R' 100.T,
R' = 120
R =120
20 100%
= 163
2%
30. (A) H, P = 848, T = 8 , R = 8%
A ,A
=
2
)1(100
100
=
2
)18(888100
848100
=732800
100848
=
1024
84800= 82.8125
31. (B) H,R
1= 7%, R
3= 10%
1=
3
1,
1=
4
1, I = R. 510
1=
4
1
3
11 =
12
5
A ,
P =
321
100
=
12
50
4
8
3
7
100510
=
6
252
3
75100
=51
51000 6 = 6000
3
1P 7% +
4
1P 8% +
4
1
3
11 P 10%
= 510
100
73
1
+
100
84
1
+
100
1012
1
= 510
8/12/2019 Ssc Mains (Maths) Mock Test-17 (Solution)
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3
7+ 2+
6
25= 510 100
P =51
6100510 = 6000
32. (D) A ,
P =
2
100
51
1764
100
51
1764
=21
201764+
441
4001764
= 84 20 + 4 400
= 1680 + 1600
= 328033. (A) G,
P = 5000, R1= 10%, R
2= 20% (),
R3= 30%
= P
1001 1
1001 2
1001 3
= 5000
100
101
100
201
100
301
= 5000 10
11
5
4
10
13
= 10 11 4 13 = 572034. (D) R
120. 12 +12 = 24
12 + 16 = 28 .
T 24
120 28 = 140
.. 20 .35. (A) H,
1= 5,
2= 6
A ,
R =21
212
=56
652
= 60
36. (D) A 15 . R 66.66%.
T, 9/.N, 5 : 3.
T, 1
8
5
8
3 .
L 1 = 3 1 = 7P 1
8
3 7+
8
5 3= 9 = 2
H, = 7= 7 2
= 14/
37. (*) L .ATQ,
100
110
100
120
100
95= 672
= 535.8838. (C) L
.A ,
4+
3=
6
1.... ()
&
5+
6=
4
1.... ()
S E. () (), ,= 36 = 54
(2 3 )' 1
54
2+ 36
3= 108
13
108
13
= 8.3 .39. (C) R 60% 15 .
H 100%
60
15 100 = 25
N, R 50% R.
T R = 50
A R 50% R.
T R = 100
R, R R .
25
1+
50
1+
100
1=
100
7 .
H,
7
100.
T
40% 0.4 7
100 =740
40. (C) S5
2
25 , 5
3
25 .L 25
5
3 .
1
111
=
2
222
8/12/2019 Ssc Mains (Maths) Mock Test-17 (Solution)
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2
5810525 =
3
5925
32
8105
= 140
A = 140 105 = 35
41. (C) G ,= 20, = 15, = 5A ,R :
= 100 (+ )%= 100 (20 + 15 5)%= (100 30)%= 70%
L 100.
T,S H
= 20 5 = 15 H
= 15 5 = 10
T = 15 + 10 + 5 = 30
N = 100 30 = 70
R = 70%42. (C) L A
ATQ,
8+4
322 = 3150 1.4
32+ 66 = 17640
98 = 1740 = 180
H 180.
43. (D) R
=)4060(
)10003000(
=20
4000= 200
44. (C) R
=
5
12
54
8
35
6
1:
5
12
74
8
55
6
5
= 106 : 230= 53 : 115
45. (A) H, = 2, = 3, = 5, = 9, = 300
M P:
=
)(
=1518
)4(300
2
= 100 8 = 800 Q
=
)(
= 1518
)4(300
2
= 100 12
= 1200L P Q 2 3 5 9, .A ,
2 5 = 300 .... ()3 9 = 300
3 = 100 .... ()O () ():
= 400I P = 2= 2 100 = 800
I Q = 3= 3 400 = 120046. (A) L .
G ,G , G = 9A , A = 15
U ,
T = A + 22
= 15 + 81225= 15 + 12= 27 3.
47. (D) C =
,
=722
3883
= 3,
1=
( 1) = 83 (22 1)3 = 20,
48. (B) ATQ,
4
4
=
3
4
3L + 12 = 4B + 16 3L 4B = 4 ... ()
4
4
=
1
2
L 4 = 2B 8 L 2B = 4 ... ()S E. () (),
L = 12 B = 8 49. (C) G ,
3=
5=
7
L,3
=
5
=
7
= K
= 3K, = 5K, = 7K
=
5
)753( =
5
15= 3
50. (C) G = 32 11 = 21G .
=
100
1000
21% = 2.1%
8/12/2019 Ssc Mains (Maths) Mock Test-17 (Solution)
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51. (D) L = = =
= 1/, = 1/, = 1/,A ,
2 = 2/ = 1/.1/
2
=
1+
1
=
2
52. (A) H, = 5, =+ + , =
S =5
)(
+ + = 0A ,
2+ 2+ 2= 3, + + = 0
,2+ 3+ 3 = 3
(S+ + = 0)53. (B) T
.
R = 12454. (D) 2 + 3 = 17
2+ 2 3+ 1 = 5
2
2
2
3
3
1
= 54.2 3.3 = 5S, 2= 3= ,
+ = 17 ... ()4 3= 5 ... ()
O E. () 3 E. (), :
P E. ()8 + = 17
= 9= 2= 8 = (2)3
= 3 = 3= 9 = (3)2
= 2 = 3 = 2
55. (A) P = 3 24 = 72N, .H, = 72 + 36 + 18 +... .
T GP,
() = 72 () =2
1
H,
=
1 =
2
11
75
= 144
56. (B) H,
PSQ = 180 (110 + 30)PSQ = 40QSR = 75 40 = 35
QSR + SRT = 180 35 + 60 + = 180
= 180 95
= 85
57. (D)
G , = 7 = 14 A = 72= 49 . .
A =2
2
=2
77
22 2= 11 7
= 77 . .
R = A
A = (77 49) ..= 28 . .
58. (B) H, OA = OB = AB = T
P = 6 AB = 6
59. (B) L = DE = BD = D 4
= 1.2 4 = 4.8
N, ABE CDE,B = DA = C
E = E ABE CDE
8/12/2019 Ssc Mains (Maths) Mock Test-17 (Solution)
8/14
=
8.4=
9.0
6.3
4.8 + = 4 = 1.6
60. (B) A = 4 + 4 = (2 )2+ (2 )2
= (2 + 2 ) 22 2
= 1 22 .2 = 1 2
22
1 < < 1 1 < 2 < 1 0 < 2 < 1 0 > (22 ) > 1
0 >
2
2
1 2>
2
1
1 >
2
2
11 2 >
2
1
61. (B) I EAD, =
AD =
1
AB + BD = BD =
I EBD,
2 =
BD = 2
= 2
= 2
=
22
2=
2.
2.2 =
2.
)2( =
2.
=
= 2
62. (C)+ = N, 2 + 2 + 2
= 1 + (2 2 ) + 2 = 1 + (+ ) ( ) + 2= 1 + ( ) + 2 = 1 + ( ) + (+ )
= 1 + ( ) + (+ )
= 1 +
2
)(.
2
)(2
= 1 + 2 . . = 1 + 2 . .
63. (B) L AB L C D A .L AE = BE =
I AEB,
=
= I CEB,
= + = = ... ()I DEB,
=
+ = = O () (), ... ()
= ... () ( ) =
=
O () (), ... ()
= ( ) =
=
... ()
E () (),
=
( ) = ( )
8/12/2019 Ssc Mains (Maths) Mock Test-17 (Solution)
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( ) =
=
64. (B) :
=
2
9
47 = 7 18 = 126 3
L /.
T =
60
176
= 6.28 = 6.3
A ,
10
631000
100
5
100
4= 126
63 = 126 5
=63
1265= 10 /
65. (C) P = 2(L + B) = 18 ,H = 3 A 4 = 2(L + B)
= 18 3 = 54 . .66. (C)
= S = 2A + P
....... ()L = A
2A = P
349 = 4A
349 = 4 4
32
= 7
P
= 3= 21 N:
2A = P
2 4
3 72 = 3 7
= 2.02 67. (D) I
= C
2 = 2 7
22 120 42
= 31680 . .
I 500 = 31680 500= (1584 104) . .= 1584 2
68. (B) L OABCD ABCD.
AB = DC = 24 BC = AD = 18
= OA = OB = OC = OD = 17 O ,
= 90
.., B = D =2
1BD
O = = = 22
=
22
217
BD2= AB2+ BC2= 242+ 182= 900
=4
900172
= 22 1517 = 8
=3
1A
=3
1 24 18 8
= 1152 3.69. (A) L =
E :
+
= 1
+ = .... ()B (4, 5).
4 + 5 = = 9P E. (),
+ = 9 .
70. (A) .
=21
1221
0 =21
21 )3()2(
21 3
2 = 0
2
1
=
2
3
71. (C) G 1&
2
,
=
72.(B) PR = 22 = 22 125 = 13
S 0 , OM M PR.
RM = PM =2
13
2
1
8/12/2019 Ssc Mains (Maths) Mock Test-17 (Solution)
10/14
S, 2 : 1.
OQ =3
2QM
= 3
2
2
13
= 3
13
= 3
14
73. (A) SRQ = 90
QRP = QSR = PRS = 90 +
I PRS,SRP + RPS + PSR = 180
(90 + ) + + = 180 + 2 = 90
74. (B)
J OC, OD BC.T ODC
T, COD = 60
N, CBD =2
1COD
T CBD = 30A, ACB = 90S, BCE = 180 ACB = 90
CEB = 90 30 = 60.. AEB = 60
75. (A) A .
A = A A
=
77
7
22)50( 2
= 2500 154= 2346 . .
76. (D) A = A = 8 6 = 48 . .
=100
75 =
4
3
L =
3
448
= 16 4 = 64
C = 64 20 = 1280
77. (D) = )(3
22
=7
22
3
6 (16 + 4 + 8)
=7
22 2 (28)
= 22 8= 176 3
78. (C) G : =
3
4 3 =
3
1 2
4 = 79. (B) 2 3+ 1 = 0
2+ 1 = 3
12 = 3
2+
1= 3
+1 = 3
80. (D) G :
+
1= 1
=
11 =
1
1=
1
+
1= 1
1= (1 )
=)1(
1
+
1=
)1(
1
+ )1(
=)1(
1
)1(
=)1(
)1(
= 1
81. (C) H,
2
1
= 12
, 2
1
=
3
2
1
=
3
8/12/2019 Ssc Mains (Maths) Mock Test-17 (Solution)
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F :
2
1
=
2
1
=
2
1
S,12
=
3=
3
12
=
3
2= 36 = + 6
3=
3
3 = 2 3 6 = 2
= 0 682. (C) L
.T,
+ 20 = 205 .... ()+ 25 = 255 .... ()
S E. () E. (), = 10, = 5
P (), + 20 10 = 205
+ 200= 205= 5
A 50 = + 50= 5 + 50 10
= 505
83. (*)77.15
1513377755 +
9
817
77.15
15)7790(277)1590(5
+9
)990(7
77.15
7715277155 +
9
97
= (5 + 2) + 7 = 1484. (B) A + A =
2A + 2A + 2 A A = 2
...... ()A, A A =
2A + 2A 2 A A = 2...... ()
S E. () (), 2 2= 4 A A
A A =4
22 ...... ()
A, ( A A) ( A + A) = 2A 2A =
2
2
2A =
2
22
)1( =
2
22
=
2A 2A = 2A 2=
A, A A = 4
22
E. ()
=4
22
2 2= 4
85. (C)
I ABC,
=
... ()
I DEC,
(90 0) =
2... ()
T 22, E. () (),
(90 ) =
2
=
22
1 =
22
22 = 86. (D) + = + =
2+ 2= 2+ 2+ 2+ 2+ 2 + 2 = 1 + 1 + 2 +
2
222 = +
87. (B)
8/12/2019 Ssc Mains (Maths) Mock Test-17 (Solution)
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I ABC,
30 =
3
1=
8
AB =3
8
A,
30 =
2
3=
8
AC =3
16
DB = AB + AD
= AB + AC (AD = AC)
=3
8+
3
16
=3
24= 38
88. (C) L 5 , Q 4
D 5 = 5 800
= 4000
= 4D Q 4
= 3200 = 3.2
D = 800
A 4 ,
Q 1
A 10 ,
Q4
10= 2.5 = 2
N.
.
89. (B) H,
= 25 , = 15 , = 2
T,
A
= A A
= (+ )
= 25 12 2(25 + 15 2)
= 375 76 = 299 . .
90. (A) L ABCDEF .
AB = =
P AB.N,
PB =2
S, OP AB,
S, POB,
OB = ( OAB
, ABCDEF
)
PB =2
OP =
4
22
4
22 =
2
3.
T, .
OP =2
3= PQ
A = 6 4
3 (QP)2
= 6
S, A
= 6 4
3 (AB)2
AA
=2
2
)(4
36
)(4
36
=
2
3
2
=5
4
H, 4 : 3.
91. (D) N
= 1800 100
18
12
7= 189
8/12/2019 Ssc Mains (Maths) Mock Test-17 (Solution)
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92. (B) R
=
100
281800
111
11
100
281800
100%
=1211 100% = 91.67%
93. (C) R
=
100
171800
72
2
100
171800
=9
2= 2 : 9
94. (A) R =
100
141800
4
3
100
141800
= 4
3
= 3 : 495. (D) R
=1800
9
4
100
231800
100%
= 10% ()96. (B) P A 2005
= 1.84 I 2006, 25% A.S, A
2006 = 1.84 1.25 = 2.3 97. (A) A ,
A B .M 2004 M 2009 .R .S, I .
98. (D) R
=20
2035 100%
= 75%99. (C) P B 2008
= 4.63
P B 2006
= 4.63 120
100
125
100
= 2.42 100. (D) R
=6
303530251520
=6
155=
6
525 %
8/12/2019 Ssc Mains (Maths) Mock Test-17 (Solution)
14/14
1. C2. C
3. C
4. D
5. C
6. A
7. D
8. *
9. C
10. D
11. C
12. B
13. A
14. B15. C
16. D
17. A
18. B
19. C
20. D
21. B22. D
23. B
24. D
25. B
26. B
27. C
28. C
29. A
30. A
31. B
32. D
33. A
34. D35. A
36. D
37. *
38. C
39. C
40. C
41. C42. C
43. D
44. C
45. A
46. A
47. D
48. B
49. C
50. C
51. D
52. A
53. B
54. D55. A
56. B
57. D
58. B
59. B
60. B
61. B62. C
63. B
64. B
65. C
66. C
67. D
68. B
69. A
70. A
71. C
72. B
73. A
74. B75. A
76. D
77. D
78. C
79. B
80. D
81. C82. C
83. *
84. B
85. C
86. D
87. B
88. C
89. B
90. A
91. D
92. B
93. C
94. A95. D
96. B
97. A
98. D
99. C
100. D