ssc-102.pdf

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Centres at: MUKHERJEE NAGAR MUNIRKA UTTAM NAGAR DILSHAD GARDEN ROHINI BADARPUR JAIPUR GURGAON NOIDA MEERUT VARANASI ROHTAK PANIPAT SONEPAT BAHADURGARH PATNA AGRA CHANDIGARH LUCKNOW ANUPPUR

Param

ount C

oachin

g Cent

re

1. (C) 24 : 288 : : 22 : 24224 2 22 2

2. (B)3. (B) 5 : 26 : : 8 : 65

5 + 1 8 + 1

4. (D) 38 :1232 : :

45 :

1620

4 4

4 4

5. (C) NO : 1415 : : GS : 719Place value Place value

Place value Place value

6. (D)7. (D) BMCX : CNDY : : : EXFWDWEV+1 +1+1 +1+1 +1+1 +18. (D) Pyorrhea is related to tooth. Similarly,

eczema is related to skin.9. (B) Democracy is always associated with

justice.10. (B) Except peepal, all of them are plant, but

peepal is a tree.11. (A) Except excite, all of them represent

development (Growth)12. (D) (A) Z X W U-2-2 -1 (B) Y W V T-2-2 -1(C) W U T R-2-2 -1 (D) Z X U R-4-2 -213. (A) Except (A), All others are the rivers of

Northern India.14. (C) [23-64] is a co-prime pair.15. (C) Except option (C) all digits are divisible by 3.16. (A) Except (A), All of them belong to one

category.17. (A) 3 8 3 + 8 = 11 (prime no.)

6 8 6 + 8 = 144 5 4 + 5 = 95 7 5 + 7 = 12

18. (B) Brass is an alloy.19. (D) pair20. (C) Cell2

Tissue1

Organ3

21. (B) Z3A W9D Q81J N243MT27G+3

3 3 3 3

+3 +3 +3+3 +3 +3 +3

22. (B) D F J L M OG I+3+3

+3

+3

+3

+3

23. (C) 7 12 19 28 39 52+5 +7 +9 +11 +13

24. (D)BC , FGH , KLMN , , XYZABCQRSTUD,E I,J O,P

25. (B)+2-1-2

+2-1-2

+2-1-2

+2-1-2

DMP HKL JJJ LIHFLN

26. (C) 11 + 1 = 22 2 + 2 = 88 3 + 3 = 33

33 4 + 4 = 148148 5 + 5 = 765

27. (B) 9 3 4 + 6 = 29 27 4 + 6 = 29 27 + 6 4 = 29 33 4 = 29 29 = 29

28. (B) 7 3 6 = 24 (According to given option) 4 6 = 24 24 = 24

29. (A) SYDNEY30. (D) E V E N T 5 4 5 5 2

5 22 5 14 20 5+02+25+01+42+0

Similarly,R E V E N G E 9 5 4 5 5 7 518 5 22 5 14 7 5 1+8

5+02+25+01+47+05+0

31. (B) Area of smaller circleArea of larger circle =22

( )(2 )aa

=

14

32. (A) 7x 5y = 20 .......(i)12x + 5y = 75 .......(ii)Adding equation (i) & (ii)19 x = 95 x = 5

Putting the value of x = 5 in equ. (i)7 5 5 = 205 y = 15

y = 3Now, xy = 5 3 = 15

33. (A)34. (B) B A C T E R I A A B I A R C E T

1 2 3 4 5 6 7 8 8 1 7 2 6 3 5 4Similarly,

1 2 3 4 5 6 7 8 8 1 7 2 6 3 5 435. (C) 3 5 2 3 = 104 7 3 4 = 21

Similarly,5 9 4 5 = 36

36. (B) 51 7 + 266 8 + 283 9 + 2102 10 + 2123 11 + 2146 12 + 2

SSC MOCK TEST -102 (SOLUTION)

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Param

ount C

oachin

g Cent

re

52. (A) Let the numbers are x and 1x .

Then x + 1x =103

2 1 103

xx

3x2 10x + 3 = 0 3x2 9x x + 3 =0 3x (x 3) 1 (x 3) = 0 (x 1) (x 3) =0 x = 13 , x = 353. (A) Volume of the cuboid = 720 cm3Height of the cuboid

= Volume of the cuboidBase area of the cuboid= 72072 = 10cmSurface area of the cuboid

= 2 (lb + bh + hl)= 2 (9 8 + 8 10 9)= 2 (72 + 80 + 90)= 2 242= 484 cm2

It is obvious that length, breadth andheight of the cuboid is 9cm, 8cm and10 cm

54. (C) 75xy

75 2 5 25 2 573 2 3 2 3 25

xx y y

xx yy

= 2531

55. (B) x3 + kx2 2x 24here, x = 2(2)3 + k(2)2 2 2 24 = 0

8 + 4k 4 24 = 0 4k 20 = 0 k = 20 54

56. (C) In PBC,

45 60A B C

P

h m

x m21mtan60 = hx

3hx

3hx .....(i)

37. (B)+2+2

+2

121 25 5

79

11

81 49

38. (B) A

B C3 km

3 km4 km

4 kmD EAE = AB BC CD DE = 3 4 3 4 = 9 16 9 16 = 25 25 = 5 + 5 = 10 cm

39. (C) 40. (A)

41. (A) 1 23 45 6There are 13 triangles are in the givenfigure:- 1, 2, 3, 4, 5, 6, (1, 2), (3, 4), (1, 3), (2,4), (1, 2, 3, 4, 5, 6), (1, 3, 5) and (2, 4, 6)

42. (D)

A

B

C

D

5 cm

5 cm10

cm

EastWest

North

South43. (C)

BlackboardClassroomSchool

44. (A)45. (D) F C Sn Sl t46. (B) 47. (C) 48. (B)49. (B) Z W S+3 +4

J G C+3 +4

W T P+3 +450. (A)

51. (A) Let the unit digit of the number be x andtens digit be y. Number = 10y + xAccording to the question, x + y = 10 ....(i)and 10x + y = (10y + x) 36 10x + y 10y x = 36 9x 9y = 36 x y = 4 ......(ii)Now, on solving equation (i) and (ii),we get x = 3 and y = 7 Required product of two digits= 3 7 = 21

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Param

ount C

oachin

g Cent

re

In PAC, tan 45 = 121

hx

h = 21 + x h = 21 + 3

h [from equation (i)]

11 213h

21 3 ( 3 1)( 3 1) ( 3 1)h

21 3( 3 1)2h = 49. 68 50 cm

57. (B) In OTQ,OT2 = OQ2 + TQ2

(13)2 = (5)2 + (TQ)2

A BE

T

QPO

12-x

x

x

5m

5m

13 m

TQ2 = 169 25 = 144 TQ = 12 cmThen, in TEB,

TB2 = EB2 + TE2 (EB = BQ) (12 x)2 = BQ2 + TE2 144 + x2 24x = x2 + (8)2 144 + x2 24x = x2 + 64 24x = 80 x = 20 106 3 m AB = 2EB= 2x = 2 103 AB =

203 m

58. (C) Let P(x) = 36(3x4 + 5x3 2x2)= 36x2(3x2 + 5x 2)= 36 . x2{3x2 + 6x x 2}= 36 . x2 {3x (x + 2) 1 (x + 2)}= 2 2 3 3 x x

(x + 2) (3x 1) Q(x) = 9(6x3 + 4x2 2x)

= 9x(6x2 + 4x 2)= 18x(3x2 + 2x 1)= 18x{3x2 + 3x x 1}= 3 3 2 x . (3x 1) (x + 1)

R(x) = 54(27x4 x) = 54x(27x3 1)= 2 3 3 3 x

(3x 1) (9x2 + 3x + 1)So, HCF of [P(x), Q(x), R(x)]= 2 3 3 x (3x 1) = 18x (3x 1)

59. (D) All the three statements are correct60. (C) Mean proportion between (15 200) and

(27 648)= (15 200)(27 648)

= (15 27) (15 648) 27 200) ( 200 648) = 405 (15 18 2) (27 10 2) (10 2 18 2) = 405 [18 2(15 15 10 2)] = 405 180 2 = 405 360 45 = 3 561. (C) x4 + xy3 + x3y + xz3 + y4 + yz3 = (x4 + xy3 + xz3) + (x3y + y4 + yz3)

= x (x3 + y3 + z3) + y (x3 + y3 + z3) = (x + y) (x3 + y3 + z3)

Which is divisible by both (x + y)and (x3 + y3 + z3)62. (A) Here, lenght of the arc of the sector,

2 360r

Also, circumference of the cone = 2 r1442 2 30 360r

30 144360r = 12 cm

63. (C) Given that 1x ax Then,3 2 3 2

3 2 3 21 1 1 1x x x xx x x x

=3 21 1 13 2x x xx x x

= a3 3a + a2 2= a3 + a2 3a 2

64. (C) Let the two numbers be 2x, 3xthen 2 9 33 8 4

xx

x = 9product of the numbers = 18 27= 486

65. (C) Given, p = a sin x + b cos xand q = a cos x b sin x

p2 = a2 sin2 x + b2 cos2 x + 2ab sin x cos xand q2 = a2 cos2 x + b2 sin2 x 2ab sin x cos xp2 + q2 = a2 (sin2 x + cos2x) + b2 (cos2x + sin2x)= a2 + b2

66. (B) Let the height of the triangle be x.A

B CD7x

x

Then BC = 7xArea of the ABC

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Param

ount C

oachin

g Cent

re

= 12 7x x =72 x2

Cost of painting the wall at ` 350 per100sq m= ` 1225

Cost of painting 100m2 = ` 350Cost of painting 1 m2 = `

350100

Cost of painting 2 27 350 72 100 2x x 2350 7 1225100 2 x (given)

2 1225 100 2350 7x

x2 = 100 x = 10m Base = 7x = 70m67. (C) Given,

2 3 1 2 2 833 70062 3 1

2 2 81 9 830Now, 33 30 = 3

On adding 3 to 231228, it is completely divisible by 33.68. (A) Second number = LCM HCFFirst number

= 72 12 3624

Difference between the two numbers= 36 24 = 12

69. (D) Infinite70. (C) Let the number be x and y

According to the question, x + y = 20or x = 20 y and xy = 75 y(20 y) = 75 20 y y2 = 75 y2 20y + 75 = 0 y2 15y 5y + 75 = 0 y (y 15) 5 (y 15) = 0 (y 15) (y 5) = 0 y = 15, =5 x = 5, 15

1 1 1 1 1 3 415 5 15 15x y

71. (C) Given, ABC = 105

DAB = 120DCX = 120 DCB = 180 120 = 60

A B

CDx

120

12060

105Angles of a quadrilateral is equal to 360. ADC = 360 [120 + 105 + 60] = 360 285 = 75

72. (A) AO = CD

60 606060 = =

===

A BC D

Ox y

P OC = OD = CD[ AO = OC = OD = radii]COD is equilateral.x + y = 180 60 and x = y 2x = 120x = 60 and AOC is equilateral. DCP = 180 120 = 60and CDP = 60 APB = 360 (60 + 120 + 120) = 6073. (B) Given 3x+y = 81or, 3x+y = 34or, x + y = 4 ..........(i)and 81xy = 3or, (34)xy =31

or, x y = 14 .........(ii)On solving the equation (i) and (ii), we get2x = 174 ; x =

17874. (C) Statement I

cot30 1cot30 1

= 2(cos 30 + 1)

3 1 32 123 1

3 1 3 1 3 22 23 1 3 1

3 1 2 3 3 23 1

2(2 3) 3 22

3 + 2 = 3 + 2 It is true.Statement II.2sin45 cos45 tan45 cot45 = 0

or, 1 12 1 1 02 2

or, 12 1 1 02 ; 1 1 = 0 Both statements I and II are true.75. (C) Given that, 3 sinx + 5 cosx = 5On squaring both side, we get9 sin2 x + 25 cos2x + 30 sin x cos x = 25

9(1 cos2x) + 25 (1 sin2x)+ 30 sin x cos x = 25 9 + 25 {9cos2 x + 25 sin2 x 30 sin x cos x} = 25

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Ph: 011-27607854, (M) 8860-333-333 5


Param

ount C

oachin

g Cent

re

9 = (3 cos x 5 sin x)2 3 cos x 5 sin x = 3

76. (B) 212W nP NX or21

2NX W nP

or 2 2( )W nPX N

So, 2( )W nPX N

77. (B) Required value= 2 10 1 7 7 35 5 14 7 2 10 4 4

78. (B) 0.5 1/2(2.89) (2.89) 1.7 22 (0.5) 2 0.25 1.75

3 1.732 (approx)30.008 0.2 0.2 < 1.7 < 1.732 < 1.75 0.5 230.008 (2.89) 3 2 (0.5)

79. (D) Let the third number = 5xLCM of 700, 770 and 5x = 7700x 7700x = 23100x = 3Third number = 5 3 = 15But the expected values are thosemult iples of 15 that divide 23100completely. These numbers are inoption(D).

80. (B) Suppose there are 80 questionsnumber of question correctly answered bySantosh = 8 80 6410 wrongly answered questions

= 80 64 = 16number of questions correctly answeredby Priyanka = 6 80 608 wrongly answered questions

= 80 62 = 20Required part = 21 516 4

81. (B) Let the original price ` xthen,(100 20) (100 15) 408100 100x

408 100 100

80 85x = ` 600

82. (B) 10%12000 1200 discount20%10800 2160discount

Net CP = 12000 (1200 + 2160)= ` 8640

% profit = (10800 8640)8640 100

= 25%

83. (D) If the interest and time are same21

2 1rP

P rWhere 1P and 2P are two principals

12

15152 15 :1111 11

2

PP

Amount deposited in Bank B11 2600(15 11)

= ` 110084. (D) Suppose the amounts deposited in the

name of A and B be ` x and ` (2523 x)

then,3 55 51 (2523 x) 1100 100x

or3 521 21(2523 x)20 20x

or5 3 221 21 441

2523 20 20 400x

x

or 400 441 2523 441x x or 841 441 2523x 441 2523841x

= ` 132385. (A) Suppose the concentration of acids in two

containers A and B are x% and y%respectively.quantity of Acid in A = 6 100

x

quantity of Acid in B 3 100y

Suppose k litre acid is emptied from eachcontainer,thenTotal acid in A 6100 100 100

x C x C y

Total acid in B 3100 100 100y C y Cx

By question6 3100 100 100 100 100 100100 1006 3

x kx ky y ky kx

6100 100 100x kx ky = 6 2 2100 100 100

y ky kx 6( ) 3( ) ( )100 100x y kx y x y

k = 2 litres.

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Param

ount C

oachin

g Cent

re

86. (C) 2 (120 45)100 451 114 4

m 100 45 3 4 18075 4 1

Required number of men 180 100= 80

87. (D) Let the present age of B = x yearsthen, present age of A = 3x + 5 yearsAccording to question(3 5) 5 ( 3) 5 5x x 3x + 10 = 5x 10x = 10Age of A = 3x + 5 = 3 10 + 5 = 35 years

88. (C) Share of Y and Z = 1058 823 = ` 368 share of X = 1058 368 = ` 69089. (D) Tank filled in 1 hour

= (42 + 56 48) ltires= 50 litres

quantity of water in the tank in 16hours = 16 50 = 800 litres

90. (A) Boys = 5 45 259 and girls 45 25 20 Required average

= 25 76 20 78 346045 45

= 76.89 approx91. (C) Time taken by A to make one round

= 5 52 = 2 hours

Time taken by B = 53 hours and that by

C = 52 hours

Required time = LCM of 5 52, ,3 2

= LCMof (2,5,5) 10 10HCF of (1,3,2) 1 hours92. (C) Let the speeds of the trains A and B be x

and y km/hr respectivelyspeed of Aspeed of B

= Time taken by B after meetingTime taken by A after meeting7784 2025 5

b

84 147 5 720 27 6b

84 67b = 72 km/hr

Total distance = 27 14784 725 20 = 453.6 + 529.2= 982.8 km/hr

93. (B) Ratio of speeds of stream and Ist boat= 2 : 5 = 6 : 15

Rato of speeds of stream and 2nd boat= 3 : 4 = 6 : 8

Required ratio of the speeds of two boats= 15 : 894. (D) Length of diangoal 1552 1360 m

Length along sides 568 1760 m

Now, l + b = 17and 2 2 13l b 2 2l b = 169 (17 b)2 + b2 = 169 289 34b + 2b2 = 169 b2 17b + 60 =0 (b 12) (b 5) = 0 b = 5, 12 l = 12, 5 Area of the ground = 12 5 = 60m2

95. (D) 140 702r Total area of the comvas 2 rh rI = 22(2h ) 70(2 5 60)7r I = 220 70 = 15400 sq .m

96. (D) 19 11 120000 9600100

97. (C) 10200 100 8.5%120000 98. (D) Estimated cost of furniture and

miscellaneous expenditures.13 8 120000 25200100

Actual cost of furniture

= 88 13 120000100 100 = 13728

Actual cost of furniture and miscellaneousexpenditure = 13728 + 10200 = 23928.Total expenditure of the family= 120000 25200 + 23928 = 118728

99. (B) 15 14 120000 34800100

100. (D) 88 13 120000 13728100 100

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Word Meaning in English Meaning in HindiAmity A feeling of friendshipApathetic having little or no interestArduous very difficultArticulate clearly expressed and easily understoodAudacious BoldAversion a strong felling of not liking somethingBoisterous Very noisy/ active in a lively wayBouncy lively, cheerful and full of energyConfine To keep within limitCreek a small streamDisregard to ignore or not to treat as importantEndanger to put in dangerExtemporaneous Made or done without preparationFauna Animals living in particular areaFeigned not genuine or realFlora plants found in particular areaGarb A particular type of clothing/ appearanceGarrulous TalkativeGaze to look at someone or something in a steady way

for a long timeHavoc a situation of destructionImpenetrable impossible to pass or see throughInflux arrival of large number of peopleInstinctive done or said in the natural and often in a sudden way

and without a lot of planningManslaughter unlawful killing of human beingManuscript written by hand or typedMarshes an area of soft, wet land that has many grasses

and other plantsMenacing that causes troubleMisery Extreme suffering or unhappinessPensive Quietly sad or thoughtfulQuarrelsome ready or likely to argueRampant growing quickly and is a way that is difficult to controlRavage Destroy/ruinRavish to fill with pleasure, joy or happinessRelic SymbolReplica copy of somethingRepugnance A strong feeling of dislike or disgustRescue to save from danger and harmRudimentary Basic or simpleSpendthrift person who spend money in a careless or wasteful waySpontaneous Done or said in a natural and often sudden way and

without a lot of thought or planningSwamps land that is always wet and often partly covered with waterSpurious Not genuine or authentic

MEANINGS IN ALPHABETICAL ORDER

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SSC MOCK TEST -102 (ANSWER KEY)1. (C)2. (B)3. (B)4. (D)5. (C)6. (D)7. (D)8. (D)9. (B)10. (B)11. (A)12. (D)13. (A)14. (C)15. (C)16. (A)17. (A)18. (B)19. (D)20. (C)21. (B)22. (B)23. (C)24. (D)25. (B)

26. (C)27. (B)28. (B)29. (A)30. (D)31. (B)32. (A)33. (A)34. (B)35. (C)36. (B)37. (B)38. (B)39. (C)40. (A)41. (A)42. (D)43. (C)44. (A)45. (D)46. (B)47. (C)48. (B)49. (B)50. (A)

51. (A)52. (A)53. (A)54. (C)55. (B)56. (C)57. (B)58. (C)59. (D)60. (C)61. (C)62. (A)63. (C)64. (C)65. (C)66. (B)67. (C)68. (A)69. (D)70. (C)71. (C)72. (A)73. (B)74. (C)75. (C)

76. (B)77. (B)78. (B)79. (D)80. (B)81. (B)82. (B)83. (D)84. (D)85. (A)86. (C)87. (D)88. (C)89. (D)90. (A)91. (C)92. (C)93. (B)94. (D)95. (D)96. (D)97. (C)98. (D)99. (B)100. (D)

101. (D)102. (A)103. (B)104. (B)105. (A)106. (A)107. (A)108. (D)109. (C)110. (A)111. (D)112. (B)113. (B)114. (B)115. (C)116. (B)117. (A)118. (D)119. (B)120. (B)121. (C)122. (B)123. (B)124. (B)125. (D)

126. (D)127. (C)128. (B)129. (B)130. (A)131. (C)132. (B)133. (C)134. (B)135. (A)136. (B)137. (C)138. (C)139. (D)140. (C)141. (C)142. (B)143. (D)144. (B)145. (D)146. (B)147. (B)148. (C)149. (D)150. (C)

Note:- If your opinion differs regarding any answer, please message the mocktest and question number to 8860330003

Note:- If you face any problem regarding result or marks scored, pleasecontact 9313111777

151. (B)152. (B)153. (A)154. (C)155. (B)156. (C)157. (A)158. (D)159. (D)160. (B)161. (B)162. (C)163. (B)164. (C)165. (B)166. (C)167. (B)168. (A)169. (B)170. (D)171. (C)172. (A)173. (D)174. (C)175. (A)

176. (A)177. (B)178. (A)179. (B)180. (C)181. (C)182. (D)183. (C)184. (A)185. (C)186. (D)187. (A)188. (C)189. (D)190. (A)191. (D)192. (C)193. (B)194. (A)195. (C)196. (B)197. (A)198. (A)199. (D)200. (A)

EXPLANATION151. (B)Change 'between' into 'among'. When more

than two are involved, use 'among' insteadof 'between'.

152. (B)Change 'is' into 'was'. The action seems tobe of past.

153. (A)Add 'a' before 'portion'.154. (C)Change 'besides' into 'beside'.

Besides -Beside -

155. (B)Change 'have' into 'has'. 'Every' is singular.Hence it will take singular verb.

Correction of Mock Test-9935. (B) Anthrax is a bacterial disease.43. (D)

Correction of Mock Test-10039. (C) 18 + 23 + 16 = 57

17 + 19 + 21 = 5722 + 15 + 20 = 57Correction of Mock Test-101

84. (A) 9.09% = 9 111%86. Correction- U4 should ba a term in thequestion.120. (A) & (D)122. (A)128. (A)155. (D)

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