Directions—(Q. 81–90) What should come in place of question mark (?) in the following questions ?
81. (8.2% of 365) – (1.75% of 108) = ?
(A) 16.02 (B) 28.04
(C) 42.34 (D) 53.76
(E) None of these

82. [(135)2 ÷ 15 ´ 32] ÷ ? = 45 ´ 24
(A) 18 (B) 24
(C) 36 (D) 44
(E) None of these

83. (96)2 + (63)2 = (?)2 – (111)2 – 8350
(A) 33856 (B) 30276
(C) 174 (D) 184
(E) None of these

84. 4368 + 2158 – 596 – ? = 3421 + 1262
(A) 1066 (B) 1174
(C) 1247 (D) 1387
(E) None of these

85. 2172 ÷ ? = 1832 – 956 – 514
(A) 6 (B) 8
(C) 10 (D) 12
(E) None of these

86. 666.06 + 66.60 + 0.66 + 6.06 + 6 + 60 = ?
(A) 819.56 (B) 805.38
(C) 826.44 (D) 798.62
(E) None of these

87. 15.594 – 4.312 – 3.517 – 1.689 = ?
(A) 6.706 (B) 6.760
(C) 6.670 (D) 6.607
(E) None of these

88. 205 ´ ? ´ 13 = 33625 + 25005
(A) 22 (B) 27
(C) 33 (D) 39
(E) None of these

89. 69 ÷ 3 ´ 0.85 + 14.5 – 3 = ?
(A) 36.45 (B) 23.85
(C) 42.95 (D) 18.65
(E) None of these

90. (10)24 ´ (10)– 21 = ?
(A) 3 (B) 10
(C) 100 (D) 1000
(E) None of these

Directions—(Q. 91–95) What should come in place of question mark (?) in the following number series ?
91. 12 6.5 7.5 12.75 27.5 71.25 ?
(A) 225.75 (B) 216.75
(C) 209.75 (D) 236.75
(E) 249.75

92. 16 24 36 54 81 121.5 ?
(A) 182.25 (B) 174.85
(C) 190.65 (D) 166.55
(E) 158.95

93. 12 12 18 45 180 1170 ?
(A) 13485 (B) 14675
(C) 15890 (D) 16756
(E) 12285

94. 22 23 27 36 52 77 ?
(A) 111 (B) 109
(C) 113 (D) 117
(E) 115

95. 16 14 24 66 256 1270 ?
(A) 8564 (B) 5672
(C) 4561 (D) 7608
(E) 6340

Directions—(Q. 96–100) Study the following table carefully to answer the questions that follow—
Number of Boys and Girls in Five Streams of a College Over the Years
STREAMS
YEAR Arts Science Commerce Management IT
Boys Girls Boys Girls Boys Girls Boys Girls Boys Girls
2002 556 414 619 505 668 612 770 633 670 515
2003 763 608 793 612 781 616 667 439 866 722
2004 672 519 540 516 859 713 778 727 781 619
2005 809 602 928 908 870 811 849 729 977 817
2006 745 510 884 820 967 819 562 938 990 808
2007 698 413 765 616 571 515 1288 1016 1151 1010

96. What is the total number of Boys, for all the Streams together, in the year 2004 ?
(A) 4148 (B) 3630
(C) 4433 (D) 3247
(E) None of these

97. The number of Boys in Arts Stream in the year 2004 is approximately what per cent of the total number of Boys for all the years together in Arts Stream ?
(A) 27 (B) 34
(C) 08 (D) 39
(E) 16

98. What is the ratio of the total number of Boys to the total number of Girls, from all the Stream together, for the year 2007 ?
(A) 2 : 3 (B) 14 : 13
(C) 52 : 49 (D) 213 : 170
(E) None of these

99. What is the ratio of the total number of Boys to the total number of Girls in the Manage-ment Stream for all the years together ?
(A) 9 : 8 (B) 71 : 86
(C) 91 : 83 (D) 27 : 23
(E) None of these

100. What is the average number of Girls from Commerce Stream for the given years ?
(A) 681 (B) 675
(C) 618 (D) 657
(E) None of these

Directions—(Q. 101–105) What approximate value should come in place of question mark (?) in the following questions ? (You are not expected to calculate the exact value.)
101. (935.82)2 = ?
(A) 870000 (B) 867500
(C) 888800 (D) 875800
(E) 899800

102. 628.306 + 6.1325 ´ 44.0268 = ?
(A) 820 (B) 970
(C) 1050 (D) 1175
(E) 900

103. (739% of 383) ÷ 628 = ?
(A) 10.00 (B) 4.50
(C) 15.75 (D) 19.25
(E) 24.15

104. (9795 + 7621 + 938) ÷ (541 + 831 + 496) = ?
(A) 9 (B) 13
(C) 17 (D) 23
(E) 29

105. 814296 ´ 36 = ? ´ 96324
(A) 326 (B) 272
(C) 304 (D) 358
(E) 260

Directions—(Q. 106–110) Study the infor-mation carefully to answer the following questions—
In an organization consisting of 750 emp-loyees, the ratio of Males to Females is 8 : 7 respectively. All the employees work in five different departments viz. HR, Management, PR, IT and Recruitment. 16 per cent of the Females work in Management Department. 32 per cent of Males are in HR Department. One–fifth of the Females are in the Department of Recruitment. The ratio of Males to Females in the Management Department is 3 : 2 respectively. 20 per cent of the total number of employees are in PR Department. Females working in Recruitment are 50 per cent of the Males working in the same Department. 8 per cent of the Males are in IT Department. The remaining Males are in PR Department. 22 per cent of the Females work in HR Department and the remaining Females are working in IT Department.

106. What is the total number of Females working in the IT and Recruitment Department together ?
(A) 147 (B) 83
(C) 126 (D) 45
(E) None of these

107. What is the number of Females working in the HR Department ?
(A) 77 (B) 70
(C) 56 (D) 134
(E) None of these

108. Number of Males working in HR Depart-ment from approximately what per cent of total number of the employees in the Organization ?
(A) 20 (B) 28
(C) 32 (D) 9
(E) 17

109. Number of Males working in PD Department forms what per cent of the number of Females working in the same Department ? (rounded off two digits after decimal)
(A) 22.98 (B) 16.68
(C) 11.94 (D) 6.79
(E) 27.86

110. What is the total number of employees working in the Management Department ?
(A) 128 (B) 77
(C) 210 (D) 140
(E) None of these

111. The simple interest accrued on an amount of Rs. 19,800. At the end of three years is Rs. 7,128. What would be the compound interest accrued on the same amount at the same rate in the same period ?
(A) Rs. 8934.6784
(B) Rs. 8017.5744
(C) Rs. 7861.8754
(D) Cannot be determined
(E) None of these

112. If the numerator of a fraction is increased by 400% and the denominator is increased by 500%, the resultant fraction is 1021 . What was the original fraction ?
(A) 512 (B) 813
(C) 1714 (D) 47
(E) None of these

113. What is 26% of 55% of 1013 th of 6100 ?
(A) 617 (B) 681
(C) 706 (D) 734
(E) None of these

114. The ages of Aarzoo and Arnav are in the ratio of 11 : 13 respectively. After 7 years the ratio of their ages will be 20 : 23. What is the difference in years between their ages ?
(A) 4 years (B) 7 years
(C) 6 years (D) 5 years
(E) None of these

115. One-eighth of a number is 17.25. What will 73% of that number be ?
(A) 100.74 (B) 138.00
(C) 96.42 (D) 82.66
(E) None of these

Direction—(Q. 116–120) Study the graph carefully to answer the questions that follow—
Number of Girls Enrolled in Different Hobby Classes in Various Institutes in a Year

116. What is the respective ratio of total number of Girls Enrolled in Painting in the Institutes A and C together to those Enrolled in Stitching in the Institutes D and E together ?
(A) 5 : 4 (B) 5 : 7
(C) 16 : 23 (D) 9 : 8
(E) None of these

117. Number of Girls Enrolled in Stitching in Institute B forms approximately what per cent of the total number of Girls Enrolled in Stitching in all the Institutes together ?
(A) 29 (B) 21
(C) 33 (D) 37
(E) 45

118. What is the respecive ratio of total number of Girls Enrolled in Painting, Stitching and Dancing from all the Institutes together ?
(A) 44 : 48 : 47 (B) 43 : 47 : 48
(C) 44 : 47 : 48 (D) 47 : 48 : 44
(E) None of these

119. Number of Girls Enrolled in Dancing in Institute A forms what per cent of total number of Girls Enrolled in all the Hobby Classes together in that Institute ? (rounded off to two digits after decimal)
(A) 23.87 (B) 17.76
(C) 31.23 (D) 33.97
(E) 20.69

120. What is the total number of Girls Enrolled in Painting from all the Institutes together ?
(A) 1150 (B) 1200
(C) 1275 (D) 1100
(E) None of these

Answers with Explanation :

81. (B) ? = (8·2% of 365) – (1·75% of 108)
= 365 ´ – 108 ´
= 29·93 – 1·89 = 28.04 Ans.
82. (C) ? = [(135)2 ÷ 15 ´ 32] ÷ (24 ´ 45)
= ÷ (1080)
= = 36 Ans.
83. (D) ?2 = (96)2 + (63)2 + (111)2 + 8350
= 9216 + 3969 + 12321 + 8350
= 33856 = (184)2
? = 184 Ans.
84. (C) ? = 4368 + 2158 – 596 – 3421 – 1262
= 6526 – 5279 = 1247 Ans.
85. (A) 2172 ÷ ? = 1832 – 956 – 514
\ ? = =
= 6 Ans.
86. (B) ? = 666·06 + 66·60 + 0·66 + 6·06
+ 6 + 60
= 805·56 Ans.
87. (E) ? = 15·594 – 4·312 – 3·517 – 1·689
= 15·594 – 9·518 = 6·076 Ans.
88. (A) ? = =
= 22 Ans.
89. (E) ? = 69 ÷ 3 ´ 0·85 + 14·5 – 3
= 23 ´ 0·85 + 14·5 – 3
= 19·55 + 14·50 – 3 = 34·05 – 3
= 31·05 Ans.
90. (D) ? = (10)24 ´ (10)– 21
= (10)24 – 21 = (10)3
= 1000 Ans.
91. (B)
92. (A)
93. (E)
94. (C)
95. (D)
96. (B) Total no. of boys for all streams in 2004
= 672 + 540 + 859 + 778 + 781
= 3630 Ans.
97. (E) Reqd. Percentage
= %
= % = 15·84%
16% (Approximate) Ans.
98. (D) Reqd. Ratio = (698 + 765 + 571 + 1288 + 1151) : (413 + 616 + 515 + 1016 + 1010)
= (4473) : (3570)
=
= 213 : 170 Ans.
99. (C) Reqd. Ratio = (770 + 667 + 778 + 849 + 562 + 1288) : (633 + 439 + 727 + 729 + 938 + 1016)
= (4914) : (4482)
= (91 ´ 54) : (83 ´ 54)
= 91 : 83 Ans.
100. (A) Average number of girls from Commerce Stream for the given years
=
= = 681 Ans.
101. (d) ? = (935·82)2 = 875759·0724
875800 (Approximate) Ans.
102. (E) ? = 628·306 + 6·1325 ´ 44·0268
628 + 6 ´ 44 628 + 264
900 (Approximate) Ans.
103. (B) ? = (739% of 383) ÷ 628
= 2830·37 ÷ 628 4·50 (Approximate)
Ans.
104. (A) ? = (9795 + 7621 + 938)
÷ (541 + 831 + 496)
= (18354) ÷ (1868) = 9·825
9 (Approximate) Ans.
105. (C) ? = = 304·33
304 (Approximate) Ans.
For questions 106 to 110
The data in the following table are based on the given information for these questions—
Department Male Female Total
H.R. 400 = 128
350 ´
= 77
205
Manage-ment
56 ´
= 84
350 ´
= 56
140
P.R.
400 –
(128 + 84 + 32 + 140) = 400 – 384
= 16
150 – 16
= 134
750 ´ = 150
I.T.
400 ´
= 32
350 – (77 + 56 + 134 + 70) = 350 – 337 = 13
45
Recruitment
2 ´ 70
= 140
350 ´
= 70
210
Total
400
350
750
106. (B) Total No. of Females in I.T. and Recruit-ment Deptt. = 13 + 70 = 83 Ans.
107. (A) Number of females in H.R. Department
= 22% of 350 = ´ 350 = 77 Ans.
108. (E) Required Percentage = ´ 100%
= 17·06%
= 17% (Approximate) Ans.
109. (C) Reqd. Percentage = ´ 100%
= 11·94 Ans.
110. (D) Total number of employees in the Mana-gement = 84 + 56
= 140 Ans.
111. (B) Let the annual rate of interest = R%, Then as per question—
˙.˙ 7128 =
Þ R = = 12%
Reqd. Compound Interest
= 19800
= 19800
= 19800
=
= Rs. 8017·5744 Ans.
112. (d) Let the original fraction be . Then
=
Þ =
= = Ans.
113. (e) Given Exp. = 26% of 55% of th
of 6100
= ´ ´ ´ 6100
= 2 ´ ´ 10 ´ 61
= 11 ´ 61 = 671 Ans.
114. (c) Let the ages of Aarzoo and Arnav are 11x and 13x years
Then, as per question—
˙.˙ =
Þ 260x + 140 = 253x + 161
Þ (260 – 253)x = 161 – 140
Þ 7x = 21
x = 3
Reqd. difference in years between their ages
= 13x – 11x
= 2 ´ 3 = 6 years Ans.
115. (a) Let the required number be x.
˙.˙ ´ x = 17·25
Þ x = 17·25 ´ 8 = 138
73% of the number = ´ 138
= 100·74 Ans.
116. (c) Reqd. Ratio
=
=
= = 16 : 23 Ans.
117. (b) Reqd. Percentage
= %
= % = 20·83% 21% (app.) Ans.
118. (a) Reqd. Ratio
= (Girls Enrolled in Painting) :
(Stitching) : (Pancing)
= (250 + 225 + 150 + 175 + 300) : (325 + 250 + 50 + 250 + 325) : (150 + 200 + 75 + 400 + 350)
= (1100) : (1200) : (1175)
= 44 : 48 : 47 Ans.
119. (e) Reqd. Percentage = %
= % = 20·689%
20·69% Ans.
120. (d) Total number of girls enrolled in Painting from all the institutes
= 250 + 225 + 150 + 175 + 300
= 1100 Ans.