ssc mains (maths) mock test-17 (solution)

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


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


3/14

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

.... ()


4/14

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


5/14

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


6/14

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%


7/14

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


8/14

=

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 () (),

=

( ) = ( )


9/14

( ) =

=

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


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


11/14

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)


12/14

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


13/14

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 %


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

ssc mains (maths) mock test-17 (solution)

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