ssc cgl 2017 tier-ii mock test paper -...

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SSC CGL 2017 TIER-II MOCK TEST PAPER www.kvclasses.com 1 Shivpuri Nahar Road Araria- 85411, Call:9570821377,7903584042 Visit www.kvclasses.com for tons of free study Materials & latest Exam Updates पåरणाÂमक अिभłिच 1. 1.296 0.081 5.776 1.5625 0.0361 72.9 64 का मान है - (a) 0.044 (b) 0.048 (c) 0.48 (d) 0.44 Answer: B Explanation: 1.296 0.081 5.776 1.5625 0.0361 72.9 64 1296 81 5776 15625 361 729 64 36 36 9 9 76 76 125 125 19 19 27 27 8 8 36 9 76 3 76 125 19 27 8 125 19 2 6 6 8 48 0.048 125 125 8 1000 2. दो अंकŌ कì एक सं´या म¤ , इकाइª के Öथान पर अंक दहाइª के Öथान पर अंक के दुगुने से 1 कम है। यिद इकाइª और दहाइª के Öथान पर अंकŌ को आपस म¤ बदल िदया जाए, तो नइª और मूल सं´या के बीच अंतर मूल सं´या से 20 कम है। मूल सं´या है - (a) 47 (b) 59 (c) 23 (d) 35 Answer: A Explanation: माना कì दहाइª अंक x है। इकाइª अंक (2x – 1) है। अत: मूल सं´या = 10x + (2x – 1) = 12x – 1 अंक बदलने पर ÿाĮ सं´या - 10 (2x – 1) + x = 20x – 10 + x = 21x – 10 अब ÿijानुसार, (21x – 10) – (12x – 1) = 12x – 1 – 20 21x – 10 – 12x + 1 = 12x – 21 9x – 9 = 12x – 21 3x = 12 x = 4 अत: मूल सं´या = 12x – 1 = 12 × 4 – 1 = 47 3. िनÌन म¤ से कौन-सा पूणा«क , ÿÂयेक पूणा«क n के एक पूणा«क का वगª है ? (a) 2 n 1 (b) 2 n n (c) 2 n 2n (d) 2 n 2n 1 Answer: D Explanation: माना पूणा«क सं´या n है। इसिलए n के एक पूणा«क सं´या अथाªत् N से एक अिधक (n + 1) है। अब n के एक पूणा«क का वगª 2 (n 1) 2 n 2x 1 अत: ÿÂयेक पूणा«क n के एक पूणा«क का वगª हमेशा 2 n 2n 1 होगा। 4. एक परी±ा म¤ एक छाý ÿÂयेक सही उ°र के िलए 4 अंक ÿाĮ करता है तथा ÿÂयेक गलत उ°र के िलए उसका एक अंक कट जाता है। तदनुसार यिद वह छाý सभी 75 ÿijŌ के उ°र िलखे और 125 अंक ÿाĮ कर ले , तो उसके सही उ°रŌ कì सं´या िकतनी है ? (a) 35 (b) 46 (c) 40 (d) 42 Answer: C Explanation: माना सही उ°रŌ कì सं´या x है। अत: ÿij से , 4x + x – (75 – x) × 1 = 125 4x – 75 + x = 125 5x = 125 + 75 5x = 200 200 x= 40 5 5. यिद िकÆही तीन øमागत िवषम ÿाकृ त सं´याओं का योग 147 हो, तो बीच वाली सं´या होगी - (a) 47 (b) 48 (c) 49 (d) 51 Answer: C Explanation: बीच वाली सं´या 147 49 3 6. वह सं´या ²ात कìिजए , िजसका 1 7 भाग उसके 1 11 भाग से 100 अिधक है - (a) 1950 (b) 1540 (c) 1340

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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)