ssc cgl 2017 tier-ii mock test paper -...
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SSC CGL 2017 TIER-II MOCK TEST PAPER
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1. 1.296 0.081 5.7761.5625 0.0361 72.9 64
-
(a) 0.044 (b) 0.048 (c) 0.48 (d) 0.44 Answer: B Explanation:
1.296 0.081 5.7761.5625 0.0361 72.9 64
1296 81 577615625 361 729 64
36 36 9 9 76 76125 125 19 19 27 27 8 8
36 9 76 3 76125 19 27 8 125 19 2
6 6 8 48 0.048125 125 8 1000
2. , 1 , 20 - (a) 47 (b) 59 (c) 23 (d) 35 Answer: A Explanation: x (2x 1) : = 10x + (2x 1) = 12x 1 - 10 (2x 1) + x = 20x 10 + x = 21x 10 , (21x 10) (12x 1) = 12x 1 20 21x 10 12x + 1 = 12x 21 9x 9 = 12x 21 3x = 12 x = 4 : = 12x 1 = 12 4 1 = 47 3. - , n ? (a) 2n 1
(b) 2n n (c) 2n 2n (d) 2n 2n 1 Answer: D Explanation: n n N (n + 1) n 2(n 1) 2n 2x 1 : n 2n 2n 1 4. 4 75 125 , ?
(a) 35 (b) 46 (c) 40 (d) 42 Answer: C Explanation: x : , 4x + x (75 x) 1 = 125 4x 75 + x = 125 5x = 125 + 75 5x = 200
200x = 405
5. 147 , - (a) 47 (b) 48 (c) 49 (d) 51 Answer: C Explanation:
147 493
6. , 17
111
100
- (a) 1950 (b) 1540 (c) 1340
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(d) 1925 Answer: D Explanation: x : ,
1 1x x 1007 11
x x 1007 11
4x 10077
100 77x 19254
7. 175 , 132 25 , ? (a) 7 (b) 9 (c) 8 (d) 6 Answer: A Explanation: 175, 25 : 132 25 25 : 132 25 7 8. A B 30 B C 20 A 5 B 15 C 18 C ? (a) 120 (b) 24 (c) 60 (d) 40 Answer: B Explanation: , C t (A + B) 5 + (B + C) 10 + C 8 = 1
5 10 8 130 20 1
8 1 1 8 21t 6 2 t 6
8 6t 242
9. p p p p , n n n ?
(a) 2
2
pn
(b) 3
2
pn
(c) 2
2
np
(d) 3
2
np
Answer: D Explanation: x
x n n np p p p
3
2
nxp
10. P 14
10 , Q
40% 15 , R 13
13
S 16
7
? (a) P (b) Q (c) R (d) S Answer: B Explanation:
P 14
10
P 110 401
Q 25
15
Q
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1 115 372 2
R 13
13
R 113 3913
S 16
7
S 17 4216
: Q 11. A 24 , B 16 , C 8 , C ? (a) 32 (b) 36 (c) 48 (d) 40 Answer: C Explanation: (A + B) 1
1 1 2 3 524 16 48 48
(A + B + C) 1 18
C 1 = (A + B + C) 1 - (A + B) 1
1 5 6 5 18 48 48 48
C = 48
12. 54 11 13 124
10 35
? (a) 48
(b) 45 (c) 40 (d) 36 Answer: A Explanation:
54 11 13 124
= 10 x = 10
5 5x 4 41 11 1
1 43 31 924
5 54 49 31 9131 31
5 31 31 14 440 8 8
8 10 80
380 35
16 3 48 13. 2 3 10 3 2 8 ? (a) 8
(b) 154
(c) 2
(d) 1122
Answer: D Explanation:
, 20 + 30 = 24 + 16 4 = 14 2 = 7 2 + 1 = 8 2 + 3 = 10
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1 1 2 2MD M D
210 10 8 D
210 10 25 1D 12
8 2 2
14. 3 9 21 , 5 6 ? (a) 12 (b) 8 (c) 9 (d) 9.5 Answer: C Explanation: 3 9 1 3 9 21
(5 3 6) 21 9 9
21
15. 16 12 , 6 16 10 3 , 10 4 , ? (a) 12 (b) 15 (c) 6 (d) 9 Answer: C Explanation:
, 16 12 = 6 16 2 = 1 16 3 = 48
16 3 = 4896
8 x 16. 12% , 5 16% 8 20% 11 6080 o , - (a) 8000 o (b) 12000 o
(c) 6000 o (d) 10000 o Answer: A Explanation: x = x + 6080 ,
x 12 3 x 16 5 x 20 3 x 6080100 100 100
36x 80x 60x 100x 608000 76x 608000
608000x 800076
o
8000 o 17. 6% 9% 8 13% 8160 o , ? (a) 10000 (b) 12000 (c) 6000 (d) 8000 Answer: D Explanation: x o
, x 6 6 x 9 5 x 13 3 8160
100 100 100
18x 45x 39x 8160100 100 100
102x 8160100
8160 100x 8000102
o
18. 5 12% 5 780 o , ? (a) 300 o (b) 400 o (c) 500 o (d) 580 o Answer: A
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Explanation:
160 85 x100 5
o"kZ ckn
160 8x 6410 x100 5 25
o"kZ ckn
64x x 78025
39x 708 25 x 500. 19. 10% 2000 15000 o 2001 - (a) 18,150 o (b) 19,965 o (c) 16,500 o (d) 18,000 o Answer: A Explanation: 2000 ,
(100 10)15000100
1115000 1650010
2001 100 1016500
100
1116500 18150100000
o
20. A B C 1200 o B 14% C 15% A 172 o A - (a) C 800 o (b) C 625 o (c) B 400 o (d) B 800 o Answer: D Explanation: A B x o C (1200 x) o
, x 14 1 (1200 x) 15 1 172100 100
14x 18000 15x 17200 x 17200 18000 x 800 o
: A B 800 o 21. 6 o 12 o , , ? (a) 2 o (b) 1 o (c) 3 o (d) 4 o Answer: B Explanation: h
26 h 36 h .(i) H
= 2 34r H 36 h 33
3436 h 33
36 h 36 36 (h 1) .(ii)
. (i) . (ii) 1 o 22. 14400 o ? (a) 2420 o (b) 3320 o (c) 4320 o (d) 5320 o Answer: C Explanation: 15x
, 5x 3x = o o o 15x 5x 3x 14400
3225x 14400 3 14400x
225
3x 64 x 4 , : 60, 20 20
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2(b bh h1) 2(60 20 20 12 12 60) 2(1200 240 720) 2 2160 4320 o 23. : 8 o 14 o 1056
o3 : (a) 44 o (b) 16.5 o (c) 12 o (d) 10.50 o Answer: C Explanation:
12
(
1 (14 8) 8 882
= 1056 88 h 1056h 12
88 o
24. , 20 , 15 10 ( ) : (a) 280 (b) 325 (c) 300 (d) 420 Answer: C Explanation: x = (x + 20) = (x + 20) x In case II, (x 10)(x 5) x(x 20)
2 2x 15x 50 x 20x 20x 15x 50 5x 50 x 10
(10 20) 10 300
25. : 1 2V V 3V - : (a) 1 2 3V V V (b) 2 3 1V V V (c) 3 2 1V V V (d) 3 1 2V V V Answer: A Explanation:
2 2 21 2
2V r , V r .r r3
2 3
3V (2r) 8r 1 2 3V V V
26. ABCD P, Q, R, S : AB, BC, CD DA , PQRS ? (a) (ABCD)
(b) 13
(ABCD)
(c) 34
(ABCD)
(d) 12
(ABCD)
Answer: D Explanation: ABCD AB, BC, CD DA : P, Q, R, S
A B Q S P Q S
1 ABQS2
S Q C D S Q R 1 SQCD2
= P Q S + S Q R 1 ABQS2
1SQCD2
1 ABCD2
A
B C
D
RP
S
Q
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27. (1 o )
-
(a) 32
.2
(b) 32
.2
(c) 2 32
.2
(d) 3 32
.2
Answer: B Explanation:
23 (r)2
A B
C
6060
60
23 (1)
2
32
.2
28. 40 o 15 o 4 o (a) 896 .3 (b) 986 .3 (c) 600 .3 (d) 916 .3 Answer: A Explanation: 4 o = 40 4 4 = 32 o = 15 4 4 = 4 o = 4 o = 32 7 4 = 896 .3 29. AB, O P OP AB OP AB M , AB = 8 o, MP = 2 o ? (a) 7 o (b) 5 o (c) 6 o
(d) 4 o Answer: B Explanation: AB 8 o
AM MB 4 o
AM MB PM MN
4 4 2 2(2r 2) 4 r 1 r 5 o
30. : x , ?
(a) 16x4
(b) 2x
(c) 2 x
(d) 5x2
Answer: C Explanation:
, -
rOC OD2
2 2 2r r 2r rCD2 2 4 2
, CD = x r x;2
: r 2 x
31. ABC BE CF - G BG = CG,
A
N
M
O
B
P
2 cm
D
A
BO
Cx
r
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BGC 60 , BC = 8 o , ABC -
(a) 96 3 o2 (b) 48 3 o2 (c) 48 o2 (d) 64 3 o2 Answer: B Explanation:
BGC 60 BG CG
GBC GCG 60
: BGC BC BG GC 8 o
ABC 3 BGC
33 8 8 48 34
o2
32. 24 o 18 o 3 o ?
(a) 468 .2 (b) 612 .2 (c) 396 .2 (d) 423 .2 Answer: C Explanation: =
24 18 432 .2 3 o
= 32 = 9 .2
CB
A D
33 3
3
3
333
33
3
3
3
3
3
3
24 4 = 4 9 = 36 .2 432 36 396 .2
33. (a b c) 0, 2 2 2a b c
bc ca ab
(a) 3 (b) 1 (c) 0 (d) 2 Answer: A Explanation: a b c 0
3 3 3a b c 3abc 0
2 2 2a b c
bc ca ab
3 3 3a b c 3abc 3abc abc
34. 1x 99,x
2100x
2x 102x 2
(a) 16
(b) 12
(c) 13
(d) 14
Answer: C Explanation:
1x 99x
2 2
100x 100x2x 102x 2 2x 2 102x
x , 100 1002 12x 102 2 x 102x x
100 100 12 99 102 300 3
35. 2 22
1x x 1 2 xx x 1
- (a) 0 (b) 1 (c) 2 (d) 4
A
B C
GF E
60
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Answer: A Explanation:
2 2
2
1x x 1 2 xx x 1
(a) x = 0 , 10 0 1 2 0
0 0 1
11 21
1 1 2 2 2 = : x 0
36. 2x 1 2x , 4
2
2
1xx
x 3x 1
?
(a) 0 (b) 1 (c) 1 (d) 2 Answer: D Explanation:
2x 1 2x ( )
462
2 2
2
1x x 1xx 3x 1 x
(x 3x 1)
6
2 2
x 1(x 1 3x).x
6 6
2 3
x 1 x 1(2x 3x)x x
6 6
3 3 3
x 1 x 1x x x
33
1xx
31 1x 3 xx x
31 2 3 2 2
37. x 1x 0x
3 31x 0x
,
41x
x
?
(a) 4 (b) 16 (c) 9 (d) 25 Answer: C Explanation:
31xx
33
1 1 1x 3 x 3 xx xx
21x 3x
41x 3 3 9x
38. a 23 b 29 ,
2 225a 40ab 16b ? (a) 1 (b) 1 (c) 0 (d) 2 Answer: A Explanation: a 23 b 29 2 2 225a 40ab 16b (5a 4b)
2 25 23 4 ( 29) (115 116) 2(1 ) 1
39. 2 2 2(a b) (b
2 3 2 2 2 2 3c ) (b c ) (c a ) - ? (a) (a b)(a b) (b) (a b)(a b) (c) (b c)(b c) (d) (a b)(a b) Answer: D Explanation: 2 2a b x
2 2b c y 2 2c a z
2 2 2 2 2 2x y z a b b c c a 0 x y z 0 3 3 3x y z 3xyz x, y, z , 32 2 2 2 2 2 2 2 2 2 2 2a b b c c a 3(a b )(b c )(c a )
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2 2 2 23(a b)(a b)(b c )(c a )
: 32 2 2 2 2 2a b b c c a a b (a b) 40. 10% , 50,000 o , ? (a) 40500 o (b) 45000 o (c) 40005 o (d) 40500 o Answer: D Explanation: 10%
(100 10)50000100
500 90 45000 o
9045000 405001000
o
41. 20% 30% 2240 o , - (a) 4000 o (b) 4368 o (c) 4440 o (d) 4480 o Answer: A Explanation: x o
x (100 20)100 (100 30) 2240
100
80 70x 2240100 100
2240 100x 40008 7
o
42. a% b% ? (a) (a b)%
(b) aba b %100
(c) a b %100
(d) a b %2
Answer: A Explanation: 43. A B : 50 o/ 60 o/ - - 120 o A B (a) 1200 o (b) 1440 o (c) 1320 o (d) 990 o Answer: C Explanation: , t =
60t 50t 120 10t 120 t 12
60t 50t 110 12 1320 o
44. 300 o : : 4 60 o 10 100 o ? (a) 50 o/ (b) 100 o/ (c) 120 o/ (d) 60 o/ Answer: D Explanation: x o/ y o/
, 60 300 60 4x y
60 240 4x y
.(i)
, 100 300 100 104x y 60
100 200 25x y 60
.(ii)
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. (i) 10 . (ii) 6 600 2400 40
x y .(iii)
600 1200 25x y
.(iv)
. (iii) (iv) 1200 15y
1200y 8015
o/
. (i) y x 60 o/ : 60 o/ 45. : 18 12 - ? (a) 7.2 (b) 9.6 (c) 10.8 (d) 14.4 Answer: D Explanation: x
x18
x12
x x 2x
x x15 12
dyq njw hdqy yxk le;
x x 2x18 12
dyq yxk le;
2x 2xx x 2x 3x
18 12 36
2x 36 2 7.2 14.45x
46. A 60 o B , 4 o/ , B
, B 12 o - (a) 12 o/ (b) 10 o/ (c) 8 o/ (d) 6 o/ Answer: B Explanation: x o/ (x + 4) o/
,
60 12 60 12x 4 x
72 48
x 4 x
72x 48x 192 24x 192
192x 824
o/
: = 8 o/ 47. 240 o 5
213
- (a) 300 o/ (b) 360 o/ (c) 600 o/ (d) 720 o/ Answer: D Explanation: 240 o/ 5 240 5 1200 o
nwjhle;
1200
53
1200 3 7205
o/
48. 30 o/ , , 200 o/o
500 , ?
(a) 1432
o
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(b) 12 o (c) 9 o (d) 8 o Answer: B Explanation:
A B
C
500 mtr
30 o/
5 2530
18 3 /
253
1 o
500 1 3 500 6025
o
500 = 200 60 1200 12 49. o 5 o /o , 10 o 350 25 o 800 o : 30 o ? (a) 800 o (b) 750 o (c) 900 o (d) 950 o Answer: D Explanation: 15 o 800 350 450 o 1 o
450 3015
o
10 o 5 o 5 o 350 5 30 200 o 30 o 51 o + 25 o 200 25 30 200 750 950 o
50. 20% 385 3.5 o o ? (a) 25 o (b) 22.50 o (c) 25 o (d) 27.50 o Answer: D Explanation:
385 20 27.503.5 80
o/ o
51. 1754 o 1492 o ? (a) 1623 o (b) 1523 o (c) 1589 o (d) 1689 o Answer: A Explanation: x o 1754 x x 1492
246x 16232
o
52. A, B C A B C -
C A 400 o , - (a) 1600 o (b) 1200 o (c) 1000 o (d) 800 o Answer: C Explanation: x o
A = x 3 3x5 5 o
3x 2xx5 5
o
B C - 2x / 5 x
2 5 o
,
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3x x 4005 5
2x 4005
400 5x 10002
1000 o 53. 1500 o : 20% 10% 20 o 20% , ? (a) 1230 (b) 1320 (c) 1080 (d) 1200 Answer: D Explanation:
= 1500 1500 20% 1500 20= 1500 1200
100
o
54. 54000 o 8% 10% / ? (a) 657 o (b) 567 o (c) 648 o (d) 648 o Answer: D Explanation: = 54000 o
854000 54000100
54000 4320 49680 49680
49680 49680 10% 49680 4968 54648
: 54648 5400 648 o 55. 30 o 70 o o 20 o 70.75 o o 80.50 o o , -
(a) 485 o (b) 510 o (c) 450 o (d) 525 o Answer: B Explanation: 70 30 70.75 20 3515 o 80.50 50 4025 o (4025 3515) 510 o 56. 18% 20% 15045 o 25% ? (a) 8000 o (b) 8500 o (c) 9000 o (d) 10000 o Answer: B Explanation:
15045 100 100 100 8500125 120 118
o
57. 18% - 10% -
(a) 12.1% (b) 12.1% (c) 12.2% (d) 11.1% Answer: A Explanation: oo 2 100 200 o
, oo 118 90100 118100 100
118 106.2 224.2 :
24.2 100 12.1%200
58. 10 o o 10 o 15 o o 14 o o
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5% , - (a) 10 o (b) 15 o (c) 20 o (d) 30 o Answer: C Explanation: 15 o/ o x o = 15 x = 15x o 10 o = 10 10 = 100 o (10 + x) o = (100 + 15x) = 14 (10 +x) o = (140 14x) (100 5x) = 40 x
, 540 x (100 15x)100
140 x (100 15x)20
800 20x 100 15x 35x 700
700x 2035
o
59. 6 , 263
83
, ? (a) 30 (b) 45 (c) 60 (d) 75 Answer: A Explanation:
, -
8AD BC3
26 26 18 8ED 63 3 3
, 83tan83
1 3 1tan3 1 3
tan tan 30 30 60. 2 2xcos ysin x y
2 2
2 2 2 2
cos sin 1a b x y
, -
(a) 2 2
2 2
x y 1a b
(b) 2 2
2 2
x y 1b a
(c) 2 2
2 2
x y 1a b
(d) 2 2
2 2
x y 1b a
Answer: C Explanation: 2 2xcos ysin x y , -
2 2
2 2
x y 1a b
61. 2 27sin 3cos 4 , tan ? (a) 3
(b) 13
(c) 1 (d) 0 Answer: B Explanation:
2 27sin cos 4 2 27sin 3 3sin 4 24sin 1
2 1 1sin , sin4 2
30 : 30
1tan tan 303
: (b)
A
B C
D
E
6
263
83
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62. 2
2 2
cos 3cot cos
0 90 ,
? (a) 30 (b) 45 (c) 60 (d) 90 Answer: C Explanation:
2
2 2
cos 3cot cos
2
22
2
cos 3cos cossin
2 2
2 2
cos .sin 3cos (1 sin )
2
2
sin 3cos
2tan 3 tan 3 tan 60
60 63. , sin(4 ) 1
1cos(2 ) ,2
sin( 2 ) -
(a) 0 (b) 1
(c) 32
(d) 12
Answer: D Explanation:
sin 4 ) 1 sin(4 ) sin 90 4 90
1cos 22
cos(2 ) cos 60 2 60
(i) (ii) 6 150
150 256
4 90 4 25 90 10
sin( 2 ) sin(25 2 100) 1sin452
64. 2
1sin ,2
sin
? (a) 1
(b) 12
(c) 12
(d) 32
Answer: D Explanation:
1sin sin 30 sin2 6
6
[ 180 ]
2 6 2
3 22 6 6 6 3
3sin sin3 2
65. 2 2152 (sin30 2cos 45 3sin30 4cos 45 .... 217sin30 18cos 45 ) ? (a) (b) (c) (d) Answer: C Explanation:
2 2152 (sin30 2cos 45 3sin30 4cos 45 .... 217sin30 18cos 45 )
2152 sin 30 [1 3 5 ...17] 152 cos 45 [2 4 6 ...18] 2 21 9 9152 (2 (9 1).2 152.cos 45 {22 (9 1) }
2 2 2
[ n 2a (n 1) d]2
9 1 976 (2 16) 152. (4 16)2 2 2
76 81 76 90 76 (81 90)
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76 171 19 4 19 9
2(19 2 3) 2(114)
: 66. 30 20% , 25% ? (a) 4 (b) 3 (c) 1 (d) 2 Answer: D Explanation:
30 2030 6100
o
x 25% 6 x 25
30 x 100
6 x 130 x 4
24 4x 30 x
3x 6 6x 23
: 2 25% 67. 40 10% , 20% , (a) 10 (b) 5 (c) 8 (d) 3 Answer: B Explanation:
20 10 40100 20
10 40 580
68. 75 30% 70% ? (a) 125 (b) 100 (c) 120 (d) 130 Answer: B Explanation: 75 = 75 30%
3075 22.5100
x 70%
, (x 22.5) (75 x) 70%
(75 x)70x 22.5100
10x 225 525 7x 3x 525 225 3x 300 x 100 69. 1 : 2 2 : 3 , 5 : 8 , ? (a) 3 : 10 (b) 3 : 7 (c) 10 : 3 (d) 7 : 3 Answer: A Explanation: x o y o : - x 2y 5 (x y)3 5 13
x 5x 5 2yy3 13 13 5
13x 15x 25y 26y39 65
2x y39 65
2x y39 65
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x 1 39 39y 65 2 65 2
3 35 2 10
3 : 10 70. 12 15 , 6 , 5 ? (a) 38 (b) 22 (c) 42 (d) 45 Answer: D Explanation: 1
1 1 5 4 912 15 60 60
5
9 5 360 4
1
9 1 10 160 6 60 60
1
60
160
1
34
1 3 360 451 4 4
60
71. A B - : 3 3 45 C 1 , ? (a) 1 15 (b) 2 30 (c) 3 15 (d) 1 10 Answer: A Explanation:
A, B C 1
?kaVk feuV
1 1 13 3 45 1
1 4 13 15 1
5 4 15 615 15
25
( '' )
25 1
25
12
5 1 52 2 4
1 15 72. A B : 20 24 C, 3 A, B C , 15 ( ) (a) 180 (b) 150 (c) 120 (d) 60 Answer: C Explanation: x
, 1 1 1 120 24 x 15
1 1 1 1x 15 20 24
8 6 5 3 1120 120 40
1 1x 40
: C, 40 : 40 3 120 73. , 40 60
23 ,
-
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15 , -
(a) 1233
(b) 2253
(c) 1273
(d) 2283
Answer: A Explanation:
1 140
1
160
15 15 160 4
23
15
2 13 4
8 3 512 12
15
5 71
12 12
, 140
1
, 712
7 280 140 23
12 12 3
74. , 10 , 4 , 15 ? (a) 2400 (b) 4500 (c) 7200 (d) 1200 Answer: C
Explanation: x
, 1 1 110 15 x
3 2 130 x
1 130 x
x 30 : 30 30 = 30 60 = 1800 = 4 1800 = 7200
75. 1 12
1 13
1 712
? (a) 3 (b) 4 (c) 5 (d) 6 Answer: B Explanation:
1 1 52 3 6
1
5 7 10 76 12 12
3 1
12 4
14 1
41 41
76. 45% 25% , - (a) 33.33 (b) 32.14 (c) 31.1 (d) 30 Answer: B Explanation:
-
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= x = y
45 9x 45% x x1000 20
25 5y 25% y y1000 20
: 9 5x y20 50
x 5 20 5y 20 9 9
x 500 y 900 x + y = 500 + 900 = 1400 = 500 45% + 900 25% = 450
450 100 32.14%1400
77. A B 25% B C 10% C D 25% , D 500 320 A ? (a) 450 (b) 360 (c) 350 (d) 400 Answer: A Explanation: D = 320
D 320 100 64%500
C (100 25)64 80%100
B (100 10) 980 80 72%100 10
A 100 25 572 72 90%100 4
= 500
A 90 500 450100
78. 1% 80% 80% 20 o , - (a) 10000 o (b) 11500 o (c) 12000 o
(d) 12500 o Answer: D Explanation: x o 80% 20% 20 o
, x 1% 80% 20% = 20
100 100 200x 1250080 20
o
: = 12500 o 79. 3 1 o C1 AB, C1 C2 , C2
3 1 o, AB ? (a) 42 3 o (b) 8 3 o (c) 44 3 o (d) 4 3 o Answer: C Explanation: 3 1 o AB C2 C2 3 1 O OB 3 1 ( ) OP 3 1 ( ) OPB
2 2 2OB OP PB
2 2 23 1 3 1 PB 2 22PB 3 1 3 1
3 1 2 3 3 1 2 3 4 3
4PB 2 3 AB 2 PB ( )
4 4AB 2 3 4 3 o 80. L, x-axis (
90 ) , L L1 y-axis ?
-
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(a) 2
(b) 2
(c) (d) Answer: D Explanation:
1BCP 180 BCL 90
, BOA, O 90 , A 180
OBA 180 (90 180 ) 90 , BPC,
BPC 180 (90 90 ) 180 81. ABC C , C AB p BC, CA AB : a, b c , :
(a) 2 2 21 1 1
p b a
(b) 2 2 21 1 1
p a b
(c) 2 2 21 1 1
p a b
(d) 2 2 21 1 1
p a b
Answer: B Explanation:
ABC BDC
CD BC p a pc abAC AB b c
2 2 2 2 2 2 2P a b ab P (a b ) a b
2 2
2 2 2 2 2 2
1 a b 1 1 1p a b p a b
82. , ABCD E, F, G, H : AO, DO, CO BO EF FG GH HE ?AD DC CB BA
(a) 1 : 1 (b) 1 : 3 (c) 1 : 2 (d) 1 : 4 Answer: C Explanation: , EF FC GH HE 1AD DC CB BA 2
EF FG GH HEAD DC CB BA
1 AD DC CB BA 12AD DC CB BA 2
83. ABC D E : AB BC AC, DE , ABC DBE (a) D AB (b) D AB (c) (d) Answer: C Explanation:
, -
ABC DBE , DE | |AC
BAC BDE BCA BED
A-A-A - ABC DBE
Y
XO
L
B
L1
CP
A
BC
DP
a
b
D
A B
C
E
F G
H
O
A
B C
D
E
-
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84. : 4 o 9 o : P Q PQ ? (a) 97 o (b) 194 o (c) 72 o (d) 144 o Answer: D Explanation:
1 2PQ 2 r r 2 4 9 12 o
( PQ = 12 o) 212 144
85. r1 r2 A PQ PQ2 = ? (a) r1r2 (b) 2r1r2 (c) 3r1r2 (d) 4r1r2 Answer: D Explanation:
22 21 2 1 2 1 2PQ r r (r r ) 4r r 86. O C PQR : P O , QR S QCR 130
PQS 60 RPS : (a) 30 (b) 35 (c) 100 (d) 60 Answer: B Explanation:
PQS 60 , QCR 130
1QPR 130 652
QRP 180 60 65 55 QCR , CRQ 25 PQC QPC 35
CPR 30 , RPS 35 87. P Q , O , P Q R P - S , PSQ 20 , PRQ ? (a) 100 (b) 200 (c) 90 (d) 45 Answer: A Explanation: OP OQ, PS QS :
OPSQ
OPS OQS 90 90 180 POQ 20 180 POQ 160
P Q 360 160 200 : PRQ 100 88. , AB C AC AB , AB P , AP Q , ? (a) QC||PB (b) QC, PB
(c) QC||PB 1QC PB2
(d) 1QC PB2
Answer: A Explanation:
P Q
2r1r
P
Q RS
CO
P
SR
Q
XO
20
-
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AB P
AP AC Q QC PB
AQC APB AQC APB
: QC, PB QC||PB 89. 20 .., .. , ? (a) 30% (b) 15% (c) 20% (d) 25% Answer: A Explanation: 1 .. , 30% : 20 , 30%
(20 2600 20 2000) 100%20 2000
20(2600 2000) 100%20 2000
600 100% 30%2000
90. 20 30 60 ? (a) 20 (b) 30 (c) 10 (d) 15 Answer: C Explanation:
, htan 60y
h y 3 .....(i) htan 30
x y
1 y 3x y3
[. (i) ]
3 y x y x2y x y2
A B = 20
20x
'y' 20 yx
20 x 10x 2
91. : x y h , ?
(a) h cot xcot x cot y
(b) h cot ycot x cot y
(c) h cot xcot x cot y
(d) h cot ycot x cot y
Answer: C Explanation:
CD = = h AB = = a BC = ED = b
AED , AE a btanx tan xED b
Q
A BC
P
A
E
B C
D
y
x
-
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b (a h)cot x b acot y
. (i) (ii) , (a h)cot x acot y
acot x h cot x a cot y h cot x a (cot x coty)
h cot xacot x cot y
92. 3125 30 60 ? (a) 6520 (b) 6000 (c) 5000 (d) 6250 Answer: D Explanation:
A C BC = 3125 AC = x
ABD , ABtan 60BD
3125 x3BD
3125 xBD3
BCD ,
BCtan 30BD
31251 3125 x3 3
3(3125) 3125 x x 9375 3125
x 6250 o
(93 97) :
DSJ , BI , BW , FI
93. 1998 ? (a) 108000 (b) 181000 (c) 157000 (d) 140000 Answer: C Explanation: 1988 , = 40000 + 60000 + 30000 + 270000 = 157000 94. 1987-89 , - ? (a) DSJ (b) BI (c) BW (d) FI Answer: A Explanation: 1987 89 ,
A
B
C
D6030
-
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DSJ 49000 18000 100%18000
31 100% 172.22%18
BI 69000 45000 100%45000
24 100% 53.33%45
BW 32000 25000 100%20000
7 100% 28%25
FI 31000 20000 100%20000
11 100% 55%20
: DSJ 95. 1989 , FI DSJ FI / ? (a) 140 o (b) 400 o (c) 25% (d) 50% Answer: D Explanation: 1988 , DSJ = 14000 o 1989 , FI = 14000 o 1989 , FI = 28000 o
258000 14000
31 31 100%28000
31
14 100% 50%28
96. 1988 , ? (a) BI (b) DSJ (c) BW
(d) DSJ BW Answer: B Explanation: 1988
DSJ 14000 1000 3504000
o
B I 30000 1000 50060000
o
BW 20000 1000 66030000
o
FI 20000 1000 66030000
o
: DSJ 97. 1987 , 1988 BW (a) (b) 200 o (c) 466 o (d) 200 o Answer: C Explanation: BW , 1987
, 5000 100 25025000
o
1988 , 20000 1000 66630000
o
: (666 200) = 466 o
(98 100) :
98. 20 .., .. , ? (a) 30% (b) 15% (c) 20% (d) 25% Answer: A Explanation:
-
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1 .. , 30% : 20 , 30%
(20 2600 20 2000) 100%20 2000
20(2600 2000) 100%20 2000
600 100% 30%2000
99. - ? (a) ... .. (b) ... .. (c) .. .. .. (d) .. Answer: C Explanation: - (a) .. 2 2 = 1 ..
2 250 2 300 1 1800 2(250 300) 1600 1100 1600
(b) 4 + 2 ... = 1 ..
4 250 2 300 1 1800 1000 600 1800 1600 1800
(c) ... 4 2 + = ... 1 ..
4 250 2 300 1 1600 1000 600 1600 1000 600 1800 1600 1600
100. - ? (a) .. .. (b) ..
(c) ... , (d) - ... Answer: C Explanation: - (a) .., ... , .. .. (b) ... , (12%) : (c) ... 1 +1 = .. 1 +1
1 800 1 270 1 1600 1 300 2070 900
: (c)