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8/12/2019 Ssc Mains Mock Test 22 (Maths) _answer Key
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1
1. () A, A A A.
, A A .
=
... ()
A A .
=
... ()
() (),
=
=
2. (A)
: , = 11
= = 11 , = = 4
= = (11 4) = 7
3. ()
.
, A = .
, A ,
A =
=
A =
, ,
A
A = .... ()
A = 2
,
=
= 2
, A + = 180
2 + 2 = 180
+ = 90
180 = 90 180
= 90
4. ()
= 22 )09()012(
= 81144 = 225= 15
5. () 15 .
= A
=213 15 9000
100 100 60
=213 9
40
15
() =
15 .
=13 9
40 45 26
= 0.0025
, 0.0025
.
6. () A
, = =
= A = 10.75
= = 9.5
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8/12/2019 Ssc Mains Mock Test 22 (Maths) _answer Key
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2
=
2
=
10.75 9.5
2
= 0.625
=
=
= = 0.625
= = ( )
= (10.75 0.625)
,
= 0.625 (10.75 0.625)2
= 2 0.625 10.125 2
= 9.88 0.625 10.125 2
= 62.52 2
7.() = = 36
= = 22
, = = = 36
; 2 = = 22
= 22 222
7
=
2
7
, = 2
=7
22
2
7
2
7 36
= 1386 2
, 2268 3
8.()
(.. )
. = 10
, = = = = 10
= = = = 10
; =1
3
= 10 10
= = 2 2
= =3
210
= 35
, =2
25 3 5 = 5 2
=1
3100 5 2
= 235.7 3
, 235.73
9.() ()
,
2 2 2 + 2( + + ) = ( + +)2
2 2 2 + 2
2
2 2 2 2
2
2
2 2 2 2
2
2
10. () ( ) + (+ ) = 2 2 2............ (1)
(+ ) + (+ ) = 2+ 2.................... (2)
(2) (1),
(2) = 2 22
= )(2
)(2
(2),
(+ ) (+ ) + (+ )= 2 + 2
(+ )= 2+ 2 (2 + 2 + 2) = 2
=
2
= (+ ), =
2
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8/12/2019 Ssc Mains Mock Test 22 (Maths) _answer Key
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3
11. (A) 2+ 1 = 0 2= 1
.
4+ 3+ 82+ + = 0
(1)2+ (1)+ 8(1) + + = 01 8 + + = 0
( 1) + 7 = 0
, = 1 = 7.
12. () = 10+ .
A :
10+ = 4(+ )
10+ = 4+ 4
6 3= 0
2 = 0 .... ()
A:
10+ = 2
10+ 2= 2 2 (), = 2
12= 42
= 3
= 6
. = 36
13. (A) 2(2 2)= 1
2 2 =1
2
1 2 2 =1
2
22= 12
2=1
4
2= +1
2
=1
2
= 30
14. () 22 = 3
2 22 = 3
22 + 3 2 = 0
=1
2 = 60 = 60
15. (B) 2A 2A = 2B
2A 2A+1 = 2B + 1
22A = 2B
A
22 = B
12
2 2 B = 2A
2 2B 1 = 2A 1
2B 2B = 2A16. (A) A B A B
AB, = 90
A + B = 90
B = 90 A
, A . B A. B.
= 90 A.A A.A
=12A 2A = 1
= 1
(1 + 2)2 + 2 + (2 2) = 0
.
= 0
(2)2 4(1+ 2) (2 2) = 0
22 (1+ 2) (2 2) = 0
22 2 + 2 22 + 22 = 0
(2+ 1)2 = 2
18.(B)
= /
=1250
= (+ 250) /
=1250
250
A,
1250
1250
250 =
50
60
2250
1250 250
5
6
2+ 250 =1250 250 6
5
= 1250 50 6
2 + 250 375000 = 0
2 + 750 500 375000 = 0
(+ 750) ( 500) = 0
= 500 /
19. (A)
.
00' = 4
A = 5 2 = 2 00'2
' = 3
= 2 = 6
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8/12/2019 Ssc Mains Mock Test 22 (Maths) _answer Key
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4
20.().
, , , &
=
= 5
2= 2 2
= 52 .................. (1)
2= 62 (5 )2.................. (2)
(1) & (2)52 2 = 62 (5 )2
25 2= 36 25 + 10 2
25 11 = 10
=14
10 =
7
5
=4925 25
=625 49
25 =
24
5 = 4.8
,
= 4.8 2 = 9.6
21. ()
= =
9
15
= 135 ,
= 22
= 22 )15()135(
= 560 = 134 22. () = 200
= (90 +) = 200
= 200 90 90 200
= 110 110
= 110 (360 110) = 250
23. ()
= 2
=7
22 3.5 3.5
= 38.5 2.
24. ()
,
36
= 36 , = 15
, = 22 1536 = 39
=
= 3.14 15 39
= 1836.9 2.25. () 2+ + = 0
, = + =
= =
, 2 + 2 = 1
2
2
= 1
2 2=2
2+ 2=2+ 2+ 2
2
2+ 2= (+ )2
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8/12/2019 Ssc Mains Mock Test 22 (Maths) _answer Key
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5
26. () ( 3) () 3 2+
4 12.
, (3) 0
33 32+ 4 12 0 32 4 15 0
3
,() 3 32+ 12 12
3 32
(3) (3)3 3(3)2
27 27
54
27. ()
, .
, .
.
... ()
,
. .
() (),
+ + 3
3
1
3
1
28. ()
. , 90.
, 2 2+ 2
2 32+ 42 9 + 16 25
5
5 3 4
5
12 2.4
, 2 4.8
29. () .
200
.
60
200
200 60 3
200
,
30
200
30
200
3
1
3
200
200
3
200
200 3
200
3
1
200 3
200
133.33 ,
, 133.33 .
30. ()
1
2 .
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8/12/2019 Ssc Mains Mock Test 22 (Maths) _answer Key
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6
, B2
= ()
A1
= 2 ()
,
12 = 40
1
2, ,
1
= 2= 20
1A = , 2B = 90 ,
()
A1
=20
2 2= 20 ... ()
B2,
(90 ) = 20
= 20 (90 ) ... ()
() (),
22= 202 . = 1
= 10 2 /
, 14.14
28.28 .
31. (B)10
5
5
3 =
5
3
10
5=
5
3
2
1=
5
3
8
4
32. (A) 264 , 396, 792 6336
132.
33. (A) 2
1.
=22
21
=
4
3
,4
3>
2
1.
34.() A (+ )
(+ ).
(41 + 43).
= (41 + 43)35. () 4A = 333555+ 555333
,
(
1)
4A = 3331+ 5551
4A = 888
A = 222 2, 3
37
,4
555333 333555
2, 3 37.
, () .
36. (A) ,
C = 4, C = 27720
= 5
A ,
= (C) 1 C
= (4)5 1 27720
= (4)4 27720
= 256 27720
= 7096320
, , , .
C = = 4, (, , ,
)
C =
27720 = 4
37. (B) 3 3 = 51/4
3/3
= 51/4
()
4
1
3 53
33
= 21
3
=2
3
2= 3
38. (A)39. (C)
.
.
= 11 + 9 + 13 + 17 + 15 + 19 + 7 = 91
= 100 91
= 9
40.(C) .. = 1
.
, 6 ..
1
2
1
10241
=
1024
1 25= 52
1=
32
1
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8/12/2019 Ssc Mains Mock Test 22 (Maths) _answer Key
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7
41. () 100
100 10075
100130
7.50
%
100
)50.7100( 2.5%
42. () .
60 20%
60 5
5
60
5
4 60 75
3
2 75 50
43. ()
0
44.() .. 150
10% /10
/10
% 20%
.. 150100
120 180
10
180
200/
45. ()
,
125% 120% 225
225
120125
100100225
150
46. () .. 270
.. () 270 10%
270 /10
10 2700
2700
300
47. ()
84% 725 105 %
(84/100) 725 105/100
580
48. ()
(1000 ) .
1
1000
100
1000 100
100
1000
100
4. () .. 100
.. 80
..
5
%
6.%
50.())1)(2(
)1)(1(
10
10+ 10 + 18
8
51. ()
( + )
+
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8/12/2019 Ssc Mains Mock Test 22 (Maths) _answer Key
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8
2
3 =
=(2/3)
=
52.() =
11.40 =
11.40 =
=7625
100000040.11
1495.08 = 1495 (.)
53. () .. 10 416
=100
810416
= 332.8
.. =
,
(A ) =
2
100
81
332.8 =
1
25
27 2
=104
6258.332
=2000
54. (A) = ()
= = 1 .
= ()
A,
=
1
1001
= 1+
=
1001
=
=
=
55. (B) ,
=
= 2 = 16000 = . . 2 3 = 8000 = 20 , = 2(+ + ) = 2(2+ 22+22) =
102
= 10 202= 4000 2
, 4000 2.
56. ()
=
=
2
800=
2
12 =
6
800= 133.2 2.
57. (A)
AB, A
=
B '
AB = B.A58. ()
B = + .
115 = 70 +
= 45A,
AB + B = 180 AB + 115 = 180 AB = 65
59. (A)
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8/12/2019 Ssc Mains Mock Test 22 (Maths) _answer Key
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8/12/2019 Ssc Mains Mock Test 22 (Maths) _answer Key
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10
66. () .
67. ()
50% .
68. ()
198081 =100
13 100 = 13
199394 =100
2 1300 = 26
% =
13
1326 100 = 100%
69. () +
50%.
70. () 20%.71. () 600 ,
: 600 : 54010 : 9
500 , :
500 : 47520 : 19
: : = (10 20) : (9 20) : (19 9)= 200 : 180 : 171, 200 171
1 200
171
400 200
40071
= 342 400 342 = 58
72. ()
' =37
9 370 = 90
73.() = (100 + 65)100 100
120 125 100
= 110
100 = 10%74.() =
..,500
12
=
350
10
10+ 5000 = 12 + 4200
=800
2 = 400
, = 400
75. ()
=
11 10
10 11
10
11
100
=121 100
100
100 = 21%
76.() = =
=45
100
=25
100
..,
45 25
100 100
=
9
5
()
,
=45 25
100 100
=9 9
20 20
. ()
=9
10
= +
9
5
. ()
14
5
=
9
10014
5
100 = 32.14%
77.()
,
72 54 = 90 2
90
100
2 = 72 54 10090 90 = 48
= 48
78.() =
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8/12/2019 Ssc Mains Mock Test 22 (Maths) _answer Key
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11
5 5
100
,
5
100
5 5
100 100
9
10
9 25
10 100
9
40
9 20
10 100
9
50
,
396
5 5 9 9
100 100 40 50
396
10 10 45 36
200
396
200 101
200
396
396 20099 800
79.() ' ' + 5% 400
300 +20 320, ' ' + 10% 400
320 + 40 360
80.() . ,
9
()
150
15
()
. () (),
9
150
15
5 3+ 450
225
81.()
7 : 30 1
8 12
12
12 12
(12 8) 3
10:30
82.()83.()
20000 12 : 35000 12
240000 : 420000
220000 .
' : '
240000 : 420000
220000 : 220000
20000 : 200000
1 : 10
84.()
4 3 4 12
8 2 18 36
60 (12 + 36) 12
18 12
12
18 60 90
85.()
5
(+5+4) 5 45
1
45 45
86.()
( + ) 8 4 8 32
96 32 64
1
64 64
87.() .
2 2 21 1 1
1 2
1
)46(
2
11
)66(
3
210 12 +
15 12 +
15 12 3
3 .
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8/12/2019 Ssc Mains Mock Test 22 (Maths) _answer Key
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12
88.()
10
11
89.()
,
60 12 400 + 56 ( 12)
60 56 4800 672
4 4128
1032
90.() . .
,
2
7
17
17
3
4 4 3
91.() 4 5 7
, 4, 5 7
, ,
4 5 7
3
16
, 16 48
3
,
4 4 3 12 .
92.() & 3 11
, & 3 11
24 .
11 3 24 .
, 8 24 3 .
9 . 33 .
3 12 ,36 .
3 . 1 3
93.()
14 1
5 1
6
15 12 10
( ... 4.5 6 60)
15
37015 12 10
150
94. ()
60
20
9
60
20 9
3
95. ()
250
500
400
1200
500
2500
4200
235
4200
10
42000
420 /
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8/12/2019 Ssc Mains Mock Test 22 (Maths) _answer Key
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1
. ()
)1()10( 1
)()0(
)()( 1
)1()1(
)1()1(
)()0(
, .
.()
00 .
.() % 00 010
.() ( )
& & .
100.() 0%
010.
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8/12/2019 Ssc Mains Mock Test 22 (Maths) _answer Key
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