13

41. (a) Replace Bye by By.42. (e) All are correct.43. (b) Replace desicions by decisions.44. (a) Replace Traditionall by traditionally.45. (d) Replace forrests by forests.56. (b) substitute has for are.57. (b) replace should by will.58. (a) sale should come in place of selling59. (c) earned.60. (d) replace since with from.71. (b) Since is usually followed by a time expression ('last

year', 'this morning', '4 o'clock' etc) or by a clause in thesimple past tense. Use the present perfect or the pastperfect in the other clause. Use for when you state thelength of time that something has been or had beenhappening. Ex: We have known each other for ten years(NOT since ten years).

81. (a) 3 13824 ? = 8643 24 24 24 ? 864 =

24 ? = 864

864?24

=

\ ? = 36 36 = 129682. (b) (91)2 + (41)2 ? = 9858

Answers & Explanations 8281 + 1681 ? = 9858

? = 9962 9858 = 104\? = 104 104 = 10816

83. (b) ? = 4900 28 444 12 ? = 175 37 ? = 6475

84. (e) 125% of 260 + ?% of 700 = 500 ?% of 700 = 500 125% of 260 ?% of 700 = 175

\175 100? 25

700

= =

85. (b)7 3 13 7 111 11 2

+ = 40 80 3 160 61411 11 2 11 11

+ = =

86. (c) Given Expression = 0.207 0.207 0.2070

2070.0.0023 0.0001 0.000123

= = =

87. (b) ? = 1.05% of 2500 + 2.5% of 440

1.05 2.5

? 2500 440100 100

= +

2625 1100

?100 100

= +

1 (a) 21 (e) 41 (a) 61 (a) 81 (a) 101 (c) 121 (d) 141 (a) 161 (d) 181 (b)2 (b) 22 (d) 42 (e) 62 (d) 82 (b) 102 (d) 122 (d) 142 (d) 162 (c) 182 (d)3 (e) 23 (e) 43 (b) 63 (a) 83 (b) 103 (e) 123 (d) 143 (d) 163 (e) 183 (c)4 (a) 24 (e) 44 (a) 64 (a) 84 (e) 104 (e) 124 (a) 144 (c) 164 (e) 184 (e)5 (a) 25 (b) 45 (d) 65 (b) 85 (b) 105 (b) 125 (e) 145 (d) 165 (e) 185 (c)6 (e) 26 (a) 46 (a) 66 (e) 86 (c) 106 (c) 126 (b) 146 (a) 166 (c) 186 (b)7 (b) 27 (c) 47 (c) 67 (c) 87 (b) 107 (a) 127 (e) 147 (c) 167 (e) 187 (a)8 (c) 28 (c) 48 (a) 68 (a) 88 (a) 108 (b) 128 (e) 148 (d) 168 (b) 188 (b)9 (d) 29 (d) 49 (e) 69 (c) 89 (b) 109 (d) 129 (a) 149 (e) 169 (c) 189 (b)10 (a) 30 (d) 50 (c) 70 (b) 90 (e) 110 (a) 130 (a) 150 (e) 170 (c) 190 (a)11 (d) 31 (c) 51 (b) 71 (b) 91 (a) 111 (c) 131 (b) 151 (c) 171 (c) 191 (b)12 (a) 32 (d) 52 (d) 72 (c) 92 (b) 112 (d) 132 (c) 152 (d) 172 (d) 192 (a)13 (c) 33 (d) 53 (e) 73 (a) 93 (c) 113 (b) 133 (d) 153 (a) 173 (a) 193 (b)14 (a) 34 (c) 54 (c) 74 (a) 94 (c) 114 (a) 134 (a) 154 (e) 174 (c) 194 (c)15 (a) 35 (a) 55 (c) 75 (d) 95 (d) 115 (d) 135 (c) 155 (c) 175 (a) 195 (c)16 (a) 36 (d) 56 (b) 76 (a) 96 (b) 116 (d) 136 (b) 156 (d) 176 (c) 196 (a)17 (e) 37 (e) 57 (b) 77 (e) 97 (a) 117 (b) 137 (d) 157 (e) 177 (d) 197 (b)18 (a) 38 (d) 58 (a) 78 (b) 98 (d) 118 (d) 138 (c) 158 (b) 178 (b) 198 (b)19 (b) 39 (e) 59 (c) 79 (e) 99 (c) 119 (b) 139 (d) 159 (d) 179 (c) 199 (c)20 (e) 40 (a) 60 (d) 80 (d) 100 (d) 120 (c) 140 (e) 160 (a) 180 (c) 200 (b)

ANSWER KEY

14

3725

? 37.25100

= =

88. (a) ? = 217 4 4 2

90 5 12 +

? = 68 16 218 12+

? = 68 32216+

? = 100216 =

2554

89. (b)87 37 375

?5 8 8

- =

3219 375

?40 8

= -

3219 1875 134440 40-

= =

168 333

5 5= =

90. (e)250 136 550 ?

670100 100

+ =

340 + 5.5 ? = 670 5.5 ? = 670 340 = 330

330

? 605.5

= =

91. (a) 3889 + 12.952 ? = 3854.002or ? = 3889 + 12.952 3854.002 = 47.95

92. (b) ? 4 6 2(25) (5 5 5 5 5 5) (5 5) (5)=

4 6 1(25 25 25) (25) (25)= 3 4 6 1 12 6 1(25 ) (25) 25 (25) (25) (25)= = 12 6 1 17(25) (25)+ -= =

\ ? = 17

93. (c) 2 228 5 15 6?

7 256 (13) -

=+ +

140 90

?49 16 169

-=

+ +

50 25

?234 117

= =

94. (c) 2 21.5 0.025 (?) 0.1 (?) 0.1 1.5 0.025 + = = -

2(?) 0.1 0.0375 ? .0625 0.25= - = =

95. (d) Given Expression = 2 2 2 2

2 2 2 2( ) ( ) 2( ) 2

( ) ( )- + + +

= =+ +

a b a b a ba b a b

96. (b)2(10008.99)? 3589 0.4987

10009.001=

= 2(10009) 3600 0.50 == 10009 60 0.50 300000

97. (a) 196.1 196.1 196.1 4.01 4.01 4.001 4.999 4.999= (196.1)3 4 ?or 4 ? = 4.01 4.001 4.999 4.999 or ? = 4 5 5 = 100

98. (d) Q 12.25 ? 21.6 = 3545.64

Q ? = 3545.64

13.4 13264.6

=

99. (c) Let x be there in place of question mark so, x% of45.999 16% of 83.006 = 116.073.

We take 1646 83 116100 100

=x

x 0.46 13.28 = 116or x 6.11 = 116 x = 18.98 19.

100. (d) ? = 1.69 17.64

11.04 112.7

=

101. (c)3 23 43 63 83 103

+20+20 +20 +20 +20

102. (d) 1 9 25 49 81 121 169

12 32 52 72 92 112 132

103. (e) Pattern of the series would be as follows5 1 + 1 = 66 2 + 2 = 1414 3 + 3 = 45

\ 45 4 + 4 = 184104. (e) The pattern of the number series is:

7 1 + 1 = 88 2 + 2 = 1818 3 + 3 = 5757 4 + 4 = 232

105. (b) Can you see that the pattern is12, 23, 32, 43, 52, 63, 72

106. (c) No. of people who prefer flute = 11% of 60,000

= 11 60000 6600100

=

2100 people be less from the people who prefer flute.Therefore, 6600 2100 = 4500

Required percentage = 4500 100 7.5%60000

=

107. (a) Total number of people who prefer either Sarod or Guitar= 14% of 60000 + 22% of 60000 8400 + 13200 = 21600Total number of people of who prefer violin or Sitar= 20% of 60000 + 14% of 60000 12000 + 8400 = 20400Required difference = 21600 20400 = 1200

108. (b) Required number 14% of 60000 = 14 60000 8400100

=

15109. (d) No. of people who prefer piano = 9% of 60000 = 5400

According to question, 216 %3

no. of the people who

prefer piano would go with flute.

Therefore, 50%3

of 5400 = 900

Hence, the required percentage

= 900 11% of 60000 100

60000+

= 900 6600 100 12.5%60000

+ =

110. (a) No. of people who prefer guitar = 22% of 60000 = 13200No. of people who prefer Flute or Piano = (11 + 9)% of60000 = 12000Required difference = 13200 12000 = 1200.

111. (c) Let the nubmer be 10x + y where x > y.According to the question,x + y = 15and x y = 3Solving both the equations,x = 9, y = 6\ x y = 9 6 = 54

112. (d) Total cost price = 200 10 = 2000Total selling price = 12 195 = 2340

\ Profit per cent 2340 2000 100 17%

2000= =

113. (b) Le the CP of the shoes be ` x.\ 2033 x = x 1063 2x = 2033 + 1063 = 3096

3096x2

= = `1548

114. (a) Saving percentage = (100 55) % = 45%If the income of Ajay be ` x, then,

45 27000100

x=

27000 10045

x = = 60000

115. (d) Let total number of students in college A = 3xand total number of students in college B = 4xAfter 50 more students join college A

New Ratio = 3 50 54 6xx

+=

18 x + 300 = 20 x 2x = 300

300 1502

x = =

Total number of students in collegeB = 4x = 4 150 = 600

116. (d) Let S be the sum of ages of 60 boys

Then, S1260

= ... (1)

New average A = S 14 12.5

60- + S 105

60 60= -

= 12 0.025 = 11.975117. (b) Let the usual speed of the aeroplane be x km/h.

Then,)250x(

150021

x1500

+=-

1500 1500 1 1500x 750000 1500x 1x x 250 2 x(x 250) 2

+ -- = =

+ + 750000 = x2 + 250x or x2 + 250x 750000 = 0 x2 + 1000 x 750 x 75000 = 0 (x + 1000) (x 750) = 0 x = 750, 1000Speed cannot be negativeWe get x = 750 km/h

118. (d) Part of the tank filled by the three pipes working

simultaneously in one hour is = 6017

121

61

51

=-+

i.e. it takes 1760 hours to fill up the tank completely..

Now, 21 of the tank is filled with all the pipes open,

simultaneously together in 60 117 2

= hours17131

119. (b) Let the sum of money be ` x.

Now, 3

8 1100rx x = +

or, 3

31 (2)100r + =

or 1 2100r

+ =

Again, let the sum becomes 16 times in n years. Then,

16 1100

nrx x = +

n216 = or n4 22 = or 4n =120. (c) Let Principal = P

3101 993100

P P + - = 11 11 11

1 99310 10 10

P - =

1331 1000

9931000

P- =

or , 993 1000 3000331

P = =

\ Simple interest = 3000 3 10

100

= 900

121. (d) 1 3 4 7 9 2 5 6 8A Q F J L D M P N

Thus, 3 9 6 8 2 4Q L P N D F

122. (d) 4, 45, 453, 4531, 45312, 45, 453, 4531The next coded digit will be 1. Hence, the instructionRun will come next.

16123. (d) The new letter sequence is EDRPSEISNO.

The seventh letter from the right is P.

D E P R E S S I O N

1 2 3 4 5 6 7 8 9 10

124. (a) na pa ka so birds fly very highri so la pa birds are very beautifulti me ka bo the parrots could flyThus high is coded as na.

125. (e) 48 Q 12 R 10 P 8W 4 = ? ? = 48 12 10 8 + 4 ? = 4 10 8 + 4

? = 40 8 + 4 = 36

126. (b) B

My House

15 km

25km

20km

20km

C D

A

S NW

E

From the above diagram required distance= 25 15 = 10 km.

127. (e) The colour of human blood is red. Here white meansred. Therefore white is our answer.Do not opt for black because red means black impliesthat black is called red.

128. (e) P S I C H O L A Z Y0 1 2 3 4 5 6 7 8 9875.50 = ZAO.OP

129. (a) Conclusion I is the conversion of first statement, henceI follows. But II does not follow because A + A = A i.e.All leaders are good orators but not vice versa.

130. (a) A + A = A; i.e. All terrorists are human.131. (b) I does not follow. But II follows because it is conversion

of the first statement.

(134-135) :

( )()

( )

Pranab Reva( ) ( )

Neela Prakash Vikash

Mohan Arun

+

+

+ -

136. (b) B > V ....(i) K < C ...(ii); C B ...(iii)No relationship can be find out between V and C.

Hence I does not follow.From (ii) and (iii), B > K. Hence II follows.

137. (d) K T> ...(i) ; S K= ...(ii); T R ...(iii)Neither relationship can be established .

138. (c) U = M ...(i) P U ...(iii); M B ...(iii)Combining, we get P U M B P B = P B= or P B>

139. (d) L N ...(i) ; J P ...(ii); P L ...(iii)Neither relationship can be established.

140. (e) H G ....(i); D E> ...(ii); H E= ...(iii)Combining, we get D > E = H G

D H > and G D B > D From II: A > E > CCombining both, we get, A > E > C > B > DHence, both statements together are necessary.

158. (b) From I: (A + C) > B > (E + D) We cant answer thequestion on the basis of statement I. We need somemore information.From II: C > A > (E + D) And C has the second positionin descending order of their salaries. Hence B is thehighest salary earner.

159. (d) From I: Ramakant _ _ _ Chandrakant SureshHence, cannot be determined.From II: Ramakant _ _ Suresh _ NareshHence, cannot be determined.The combination of both statements is not possible.

160. (a) From I: (171 2) = 5 girl students are taller than SamirFrom II: (29 18) = 11 girl students are shorter thanSamir. But, from II alone it is not known how many girlsare there in the class.