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QUANTITATIVE APTITUDE--MODEL
101. A number is multiplied by 45, 24 is then subtracted from the product and the remainder so obtained is divided by 3 to get 397. What is the number?
1. 22. 2. 24. 3. 27. 4. 29. 5. 42.
102. What will come in place of the question mark (?)?
8 2/3 + 5 4/7 + 3 2/3 - ? = 10 5/7.
1. 8 4/21. 2. 6 5/21. 3. 7 4/21. 4. 7 15/21. None of these.
103. In the following question an equation is presented in four parts with ‘ = ‘ sign in between 1, 2, 3 and 4. One of these parts in the equation may be wrong and thereby may not yield the same results as the other three do. Find out the wrong part if there be any. If all the four parts are correctly equated the answer is 5. i.e., no error.
200 + 40% of 250 = 2 (47 + 23) + 2.5 (47 + 17) + 12.5 × 24 = 187% of 160 No error.
1.) 2.) 3). 4.) 5).
104. 23 boys are standing in a row according to their heights. The average height of the first 12 boys is 1.67 cm and the average height of the last 12 boys is 1.57 cm. What is the height of the eleventh boy?
1. 1.2 cm. 2. 1.44 cm. 3. 1.57 cm. 4. Data inadequate. 5. None of these.
105. Rs.3750 is divided among A, B and C in such a way that A gets twice of B and C gets 1.5 times the sum of what A and B get. What is the share of C?
1. Rs.2050. 2. Rs.1750. 3. Rs.2250. 4. Rs.2400. 5. None of these.

106. Ramkumar obtained a total of 1012 marks out of 1150 in an examination. What is his percentage in the examination?
(1) 86
(2) 88
(3) 84
(4) 90
(5) None of these

107. A grocer bus mustard oil at the rate of Rs.34 a litre and rapeseed oil at the rate of Rs.30 a litre. He mixes the two in the ration of 2:1 and sells the mixture at the rate of Rs.36 a litre. What approximate profit percentage does he earn?
1. 8%. 2.10%. 3.12%. 4.16%. 5.14%.
108. the hypotenuse of a right angled isosceles triangle is 35.355cm. what is its side?
(if √2 = 1.4142):
5 cm. 2. 10 cm. 3. 25 cm. 4. Data inadequate. 5. 5. None of these.
109. A tiger wandering in search off food sees a stag running at 54 km/hr at a distance of 300 metres. If the tiger follows at 60 km/hr, how long will it take to catch the stag.
1. 4 min. 2. 3.5 min. 3. 3 min. 4. 5 min. 5. None of these.
110. There are two coconut trees. The angle of elevation of one coconut tree at the foot of the other coconut tree is 60° and the angle of elevation of the top of the second tree at the foot of the first tree is 30°. If the height of the second coconut tree is 37 ft, find the height of the first coconut tree.
1. 115 ft. 2. 111 ft. 3. 125 ft. 4. 200 ft. 5. None of these.

Directions (Q.111-115): Read the following table carefully and answer the questions given below it:
Average marks obtained for 20 boys and 20 girls in five subjects from five
different schools

SEE TABLE IN ANNEXURE
111. 900 2.1000 3. 800 4. 1300 5. None of these.
112. In which of the following subjects did the girls have highest average percentage of marks from all the schools?
1. Science 2. Geography 3. English 4. History 5. Mathematics
113. The pooled average marks of both boys and girls in all the subjects was minimum from which of the following schools?
1. Q 2. P 3. T 4. S 5. R
114. In the case of which of the following schools was total marks obtained by girls in Mathematics 100% more than the total marks obtained by boys in History?
1. R 2. S 3. P 4. Q 5. T
115. What was the difference between the total marks obtained in Mathematics by boys from School R and the girls from School S?
1. Nil 2. 1100 3. 100 4.1200 5. None of these.

Directions (Q. 116 – 120): In the following questions study the series in (A). After the series a number is given followed by a, b, c, d and e. You have to complete the series starting with the number given, following the sequence of the given series. Then answer the question given below it.
116. A. 5, 18, 13, 50, 19, 114.
B. 6, a, b, c, d, e.
Which of the following will come in place of ‘e’?
1. 33. 2. 85. 3. 62. 4. 58. 5. None of these.
117. A. 16, 24, 60, 210, 945.
B. 12, a, b, c, d, e.
What will come in place of ‘c’?
152.5. 2. 144.5. 3. 157.5. 4. 162.5. 5. None of these.
118. A. 2, 4, 8, 32, 256.
B. 3, 5, a, b, c, d, e.
What will come in place of ‘c’?
1. 75. 2. 1125. 3. 1175. 4. 1215. 5. None of these.
119. A. 12, 17, 20, 25, 28,
B. 21, a, b, c, d, e.
What will come in place of ‘d’?
1. 39. 2. 34. 3. 36. 4. 38. 5. None of these.
120. A. 3, 16, 66, 201, 406.
B. 4, a, b, c, d, e.
What will come in place of ‘d’?
1. 261. 2. 526. 3. 562. 4. 625. 5. None of these.
121. An amount becomes Rs.4200 in 3 years and Rs.4500 in 5 years. What is the rate of interest?
5%. 2. 4%. 3. 6%. 4. 8%. 5. None of these.
122. A bag contains 4 red and 6 white balls. A ball is taken out and not returned to it. Then find the probability that in the second draw the ball is white if the ball in the first draw is red.
1. 1/3. 2. 2/5. 3. 2/3. 4. 1/5. 5. None of these.
Directions (Q. 123-127): Study the table carefully and answer the questions that follow?
See table in annexure
123. Approximately what percentage change is expected in the company’s total revenue in 2001 over the previous year’s?
1. 1. 355. 2. 31%. 3. 38%. 4. 28%. 5. 245.
124. In which of the following years growth in profit after tax is minimum?
1. 1998. 2. 1999. 3. 2000. 4. 20001. 5. None of these.
125. In which of the following years growth per cent of total revenue was maximum?
1. 1998. 2. 1999. 3. 2000. 4. 20001. 5. None of these.
126. In the year 2000 profit after tax is approximately what percent of total revenue?
1. 9%. 2. 12%. 3. 14%. 4. 18%. 5. 205.
127. If a person has 500 shares, what approximate will be his gain (in Rs.) in 2001?
1. 18000. 2. 20000. 3. 21000. 4. 23000. 5. 25000.
128. In the following question an equation is presented in four parts with ‘=’ sign in between the parts. The four parts of the equation are numbered 1, 2, 3 and 4. One of these parts in the equation may be wrong and thereby may not yield the same result as the other three do. Find out the wrong part if there be any. If all the four parts are correctly equated the answer is 5, i.e., No error.
(0.4 × 125) + (0.3 × 40) + (0.5 × 76) = (0.6 × 150) + (0.8 × 12.5) = (12 + 23) + (34 + 45)
1. 2. 3.
= 123 – 5% of 460 No error.
4. 5.
129. Nitu and Nisha plan to finish a work in 10 days. They start working together. But after 7 days they find that only half of the work has been done. So they take help of Neelam who is as efficient as Nisha. In how many days will they finish the work if Neetu is 1.5 times as efficient as Nishe?
1. 8 days. 2. 10 days. 3. 12 days. 4. 9 days. 5. None of these.

130. What will come in place of the question mark (?) ?.

√ 0.441 × 0.0169 × 250 × 1.2 = ?
2.56 32.4 0.196 6.5
1. 0.35. 2. 0.38. 3. 0.75. 4. 0.25. 5. None of these.
Directions (Q. 131-135): In each of the following questions, a question is asked followed by three statements. While answering the question, you may or may not require the data provided in the statements. You have to read the question and the three statements and then decide whether the question can be answered with any one or two of the statements or all the three statements are required to answer the question. The answer number bearing the combination of statements or single statement which is necessary to answer the question is your answer.
131. How many students in Class XII like to play hockey?
A. Out of 62 students in the class, 22 like hockey and cricket, 23 like football and cricket, 15 like football and hockey. B. All the students like at least one game and 10 students like all the three games. C. 9 students like to play only hockey.
1. A and B together are sufficient. 2. A, B and C together are not sufficient. 3. A, B and C even together are not sufficient. 4. Either A and B together or A and C together are sufficient. 5. None of these.
132. What is the total distance covered by a car in 8 hours?
A. The speed of the car during first four hours is half the speed of the car during the last four hours. B. The distance covered after 3½ hrs but before 4½ hrs of the journey is 15 km. C. Average speed of the car is 45 km per hour.
1. Only C alone is sufficient. 2. Only A and b together are sufficient. 3. Any of the three statements is sufficient. 4. Any two of the statements together are sufficient. 5. None of these.
133. What is the amount saved by Mr. X per month?
A. He spends 10% of his earning on food, 24% on rent, 10% on education of children and 20% on miscellaneous item, and saves the rest. 2. He spends Rs.2000 per month on education of children. C. He gets Rs.700 interest on one month’s savings if the rate of interest is 10% per annum.
1. Only A and B together are sufficient. 2. Either A and B together or C alone is sufficient to answer the question. 3. Any two of the tree statements are sufficient. 4. All the three statements are necessary. 5. all the three even together are not sufficient.
134. Hoe much time will train X take to cross another Y?
A. Train x crosses a pole in 6 seconds and Y crosses a pole in 8 seconds. B. Ratio of speeds on the train is 3 : 2 (X : Y). C. Length of the train X is 300 meters.
1. All the three statements together are necessary. 2. All the three even together can’t answer the question. 3. Only A and B together are sufficient. 4. Only B and c together are sufficient. 5. None of these.
135. 8 men and 10 women can do a work in 30 days. They work together for 10 days. Then 4 men and 5 women leave the job. The rest of the work will be completed in how many days?
A. 7 men can complete one-fourth of the job in 12 days. B. 8 women can complete half of the job in 24 days. V. Work done by 5 men is equal to work done by 7.5 women.
1. Any two of the statements together are sufficient. 2. Either A and C together or C alone is sufficient. 3. Only C alone is sufficient. 4. All the three statements are necessary. 5. No information is needed.
136. In the following question an equation is presented in four parts with ‘=’ sign in between the parts. The four parts of the equation are numbered 1, 2, 3 and 4. One of these parts in the equation may be wrong and thereby may not yield the same result as the other three do. Find out the wrong part if there be any. If all the four parts are correctly equated the answer is 5, i.e., No error.
12% of 250 + 36% of 450 = 3 × 2 ×2 × 2 ×2 × 2 = 4 × 4 (2.5 × 3.5+ 3.5 × 4.5) 1. 2. 3.
= 120% of 85 + 40% of 225 None of these.
5.
Directions(Q. 137-141): Study the table given below and answer the questions that follow.
Production of components: see table annexure
137.Which of the components shows continuous growth over the period.
1. B. 2. C. 3. D. 4. E. 5. None of these.
138. Production of F in April was approximately what percent of production of B in June?
1.75%. 2. 79%. 3. 83%. 4. 865. 5. 715.
139. Growth rate of which of the components was maximum in June?
1. A. 2. C. 3. E. 4. F. 5. G.
140. What percent of growth in production did component C have over the entire period?
1. 114%. 2. 112%. 3. 109%. 4. 104%. 5. 214%.
141. Production of component d in the month of March was what percent of production of G in the month of April?
1. 78%. 2. 82%. 3. 92%. 4. 88%. 5. 84%.
142. In the following question an equation is presented in four parts with ‘=’ sign in between the parts. The four parts of the equation are numbered 1, 2, 3 and 4. One of these parts in the equation may be wrong and thereby may not yield the same result as the other three do. Find out the wrong part if there be any. If all the four parts are correctly equated the answer is 5, i.e., No error.

2 ( 179 + 88 – 57 ) – 2 × 66 = 42 – 8 + 102 = 360 – 24% of 330
1.) 2.) 3.)

= 24% 0f 800 + 21⅓% of 450 None of these
5.
143. A box contains 224 small boxes measuring 3 cm by 4 cm by 5.4 cm. If the base of the box is square and its height is 21 cm, which is the length (in cm) of the box?
1. 22. 2. 28. 3. 24. 4. 18. 5. None of these.
Directions (Q.144-146): The following graph shows the demand and production (in thousand pieces) of six difference companies A,B,C,D,E & F. Study the graph carefully and answer the questions that follow:
see graph in annexure

144. The demand of companies D and E taken together is what per cent of that of C and F taken together?
1. 102.4 2. 104.16 3. 96 4. 106.32 5. None of these.

145. What is the difference between the average demand and average production?
1. 2666.66 2. 2500 3. 4166.66 4. 4233.33 5. None of these.

146. The production of A is how many times that of F?
1.0.83 2.1.04 3. 1.2 4. 0.96 5. None of these.

147. The least number of five digits which is divisible by 18, 24, 32 and 56 is:
1. 20160. 2. 10080. 3. 10008. 4. 10160. 5. None of these.
148. The base of a parallelogram is 36 cm and the vertical distance between the parallel lines is 21cm. What will be the area of the isosceles triangle constructed on the same base and between the same parallel lines?
1. 756 cm2. 2. 278 cm2. 3. 378 cm2. 4. 478 cm2. 5. None of these.
149. A trader offers 12%, 6% and 3% successive discounts for his retailers and the retailers give 8%, 3% and 2% successive discounts to the consumer. What approximately is the retailer’s profit percentage?
1. 8.75%. 2. 9%. 3. 7.75%. 4. 8.25%. 5. 9.5%.
150. An 87.5 m long train is running at 30 km/hr. How long (in sec) will it take to cross a bridge 62.5 m long?
24. 2. 20. 3. 12. 4. 18. 5. None of these.

**************************************

QUANTITATIVE APTITUDE
101 3 102 3 103 4 104 4 105 3
106 2 107 2 108 3 109 3 110 2
111 1 112 1 113 4 114 2 115 2
116 4 117 3 118 2 119 5 120 2
121 2 122 3 123 2 124 3 125 1
126 4 127 3 128 3 129 3 130 5
131 2 132 5 133 1 134 2 135 5
136 3 137 4 138 2 139 1 140 4
141 2 142 3 143 3 144 2 145 3
146 4 147 2 148 3 149 2 150 4

************************************************************************************

101. 3; Le the number = x then, 45 × x – 24 = 397
3

or, 45 x = 397 × 397 × 3 + 24 or, x = 1215 = 27
45
Q.No.102
26/3 + 39/7 + 11/3- ? = 75/7

(26x7) + (39x3) + 11x 7 divided by 21
( 182 + 117+77)/21 = 376/21

376/21 - 75/7 =
(376 - 225) /21 = 7 4/21

103. 4; All others are equal to 300.
104. 4; With the data given we can find out the height of the 12th boy, not of the 11th.
105. 3; Let B’s share = Rs x
A’s share = Rs 2x; C’s share = 3x × 1.5
Total = x + 2x + 4.5 x = Rs.3750 or, x = 500
Share of c = 500 × 4.5 = Rs.2250.
107. 2; Cost price of 1 kg of mixture = 2 × 34 + 30
3
= Rs.98
3
Profit = 36 – 98 = 10
3 3

Profit percent = 10 × 3 × 100 = 10%
98 × 3

108. 3; Side of isosceles triangle = Hypotenuse = 35.355 = 25 cm
√2 1.414
109. 3; Relative speed = 60 = 54 = 6 km/hr = 6 × 1000 = 100 m/min
60
Time taken = 300 = 3 min.
100
110. 2; Let the height of the 1st coconut tree be h ft. We have height of the 2nd coconut tree = CD = 37 ft. Now in triangle CDB; For fig. Refer annexure.
CD = tan 30° = 1
DB √3
Again in ∆ABD, AB = tan 60° = √3  h = √3  h = 37 √3 × √3 = 111 ft.
DB 37√3

Qn.111. 1; Average marks obtained by 20 boys in History from School Q = 45
Therefore total marks = 20 x 45 = 900
Qn.112. 1; On verification of figures it can be seen that Science is the Answer.
Qn.113. 4; Total marks obtained by boys and girls in all the subject:
For School P = 815
For School Q = 745, R = 935, S = 645 and T = 1005. Ans. is S.
Qn.115.2; In Mathematics total marks obtained by boys from School R = 135 x 20.
By girls from School S = 80 x 20
Therefore required difference = 1100

116.4; The series is × 4 – 2, and × ½ + 4 alternately.

117. 3; The series is × 1.5, × 2.5, × 3.5, × 4.5 …..

118. 2; In the series the subsequent number is the product of the previous to numbers.

119. 5; The series is +5, +3 alternately. So in place of ‘d’ there should be 37.

120. 2; The series is × 5, +1, × 4 + 2, × 3 + 3, × 2 + 4, ….

121. 2; Since interest of two years = 4500 – 4200 = 300

Therefore interest for 3 years = 300 × 3 = 450
2
Principle = 4200 – 450 = 3750 ; Rate = 450 × 100 = 4%
3750 × 3

122. 3; 6C1 = 6 = 2
9C1 9 3 -

123. 2; Expected percentage change in 2001 = 5736.2 – 4380.1 × 100 = 31%
4380.1

124. 3; Percentage growth in profit after tax: 1998-74.8. 1999 – 27.7.
2000 - 26.8 . 2001 - 36.6

125. 1; Percentage growth of total revenue:

127. 3; Earning for 500 shares in 2001 = 41.9 × 500 = Rs.21000.
128. 3; Others are equal to 100.
129. 3; Nt = 1.5 Ns and N1 = Ns
Since 2.5 Ns in 7 days do ½ work.
Therefore 3.5 Ns in I day do 1 × 3.5 work = 1 work
2 × 7 × 2.5 10

Therefore They do 1 work in 1 day.
10
Therefore they do 1 work = 10 days = 5 days
2
Total days = 7 + 5 = 12.

130. 5; ? = 441 × 169 × 25 × 12
256 324 196 65

2 2 2 2
= 21 × 13 × 5 × 12 × 65
16 18 14 65 12

= 21 × 13 × 5 × 12 = 1 = 0.0625
16 18 14 65 16

131.2; H + C = 22; F + C = 23; F + H = 15
H + C + F = 10
Required no. = (22 – 10) + (15 – 10) + 10 + 9 = 12 + 5 + 10 + 9 = 36
132. 5; (A) + (B)  suppose speed during first four hours is x km/hr
Therefore the speed during last four hours is 2xkm/hr
Then x + 2x = 45
2

3x = 45, therefore x = 30 km/hr.
2
Thus distance covered = (4 × 30) + (4 × 60) = 360 km
(C)  distance covered = 45 × 8 = 360 km.
Therefore the answer should be either (A) + (B) together or (C) alone is sufficient.
133. 1; (A) + (B)  He saves 35% of his salary and his salary is Rs.20,000
Therefore His savings is Rs.7,000;
(C) alone is not sufficient because the period of interest is not given.
134. 1; Since we don’t know the direction of the train we can’t get the answer.
135. 5; 8 m + 10 w do in 30 days
Therefore 8 m + 10 w worked for 10 days and did ⅓ of work.
Now ⅔ work is to be done by half of the team (4 m + 5 w)

 ⅔ work will be done by half of the team is double time i.e. 40 days.
136. 3; Others are equal to 192. 137. 4
138. 2; Percentage of production of F in April = 592  100 = 79%
748
139. 1; Growth rate of components = June – May  100
May

A
C
E
F
G
50.6%
12.12%
2.9%
34.82%
33.97%

140. 4; percentage growth of C = 374 – 183  100 = 104%
183

141. 2; Percentage production of D with respect to G = 426  100 = 82%
546
142. 3; Others are equal to 288.

143. 3; Volume of large box = 3  4  4.5  224 = 54  224

Area of box = 54  224 = 576
21

Therefore Side of square = √ 576 = 24 cm.

144. 5.
145.3; Percentage growth over the period

= 366 – 315  100 = 51  100 = 16%
315
146. 2; 350  100 = 108
324

147. 2; LCM of 18, 24, 32 and 56 = 1016
Lesser number of five digits = 10000
1000 + 2016 gives remainder 1936.
Subtracting from LCM, (2016 – 1936) = 80
So the least number = 10000 + 80 = 10080
148. 3; Area of triangle = ½  area of parallelogram

= ½  base  altitude = ½  36  21 = 378 cm2

149. 2; Let the C.P. = 100

C.P. of retailer = 100  88  94  97 = 88  0.94  0,97 = 80.23
100 100 100

Consumer price = 100  92  97  98 = 87.45
100 100 100
% of profit = 87.45 – 80-.23  100 = 9
80.23

150. 4; Speed = 30  1000 = 25 m/sec
60  60 3

Time = 87.5 + 62.5 = 150 3 = 18 sec
25/3 25

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1. PLEASE EXPLAIN 102 QUESTION NUMBER...
I DONOT UNDERSTAND.......

2. Q.No.102
26/3 + 39/7 + 11/3- ? = 75/7

(26x7) + (39x3) + 11x 7 divided by 21
( 182 + 117+77)/21 = 376/21

376/21 - 75/7 =
(376 - 225) /21 = 7 4/21

I am changing the answer in the paper.