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1). A committee of 5 members is to be formed by selecting out of 4 men, 5 women and 3 children. In how many different ways can the committee be formed if it should have at least 1 man?
a) 702
b) 736
c) 778
d) 558
e) 792
2). In a one-day cricket match the captain of one of the teams scored 94 runs more than the average runs scored by the remaining eight batsmen of that team who batted in the match. If the total runs scored by all the batsmen of that team was 355, then how many runs did the captain score?
a) 97
b) 102
c) 113
d) 123
e) 138
3). The radius of a circle is more than the height of a right-angled triangle by 40%. The base of the right-angled triangle is 44 cm. If the area of the right-angled triangle is equal to the area of the circle, then what is the approximate area of the circle?
a) 79 cm2
b) 86 cm2
c) 102 cm2
d) 66 cm2
e) Other than the given options
4). Priyanka can do 3/4 of a job in 12 days. Muskan is twice as efficient as Priyanka. In how many days can Muskan finish the job?
a) 6
b) 8
c) 12
d) 16
e) Other than the given options
5). Abhishek is twice as good a workman as Bharat and Bharat is twice as good a workman as Charu. If Abhishek and Bharat can together finish a piece of work in 4 days, then Charu can do it in
a) 6 days
b) 8 days
c) 24 days
d) 12 days
e) Other than the given options
6). The average age of 80 boys in a class is 19 years. The average age of a group of 15 boys in the class is 21 years and the average age of another group of 25 boys in the class is 18 years. What is the average age of the remaining boys in the class?
a) 18.5 years
b) 17.5 years
c) 18.875 years
d) 17 years
e) 19.25 years
7). The ratio of the age of Kalpana to that of Ruhani is 13 : 17. Four years ago, the ratio of their ages was 11 : 15. What will be the ratio of their ages six years hence?
a) 8 : 5
b) 4 : 5
c) 3 : 4
d) 7 : 8
e) Other than the given options
8). There is a water tank of capacity 1000 litres. Two filling pipes P and Q connected with it can fill the tank in 150 hours and 120 hours respectively. The rate at which Q fills the tank is more/less than that of P by what per cent?
a) 15%
b) 16.66%
c) 20%
d) 25%
e) 33.33%
9). A train travelling at a speed of 60 km/hour crosses a platform in 20 seconds. What is the length of the train?
a) 333 metres
b) 300 metres
c) Other than the given options
d) 336 metres
e) Can't be determined
10). Rohit borrowed a total amount of Rs. 30000, -a part of it at simple interest of 12% per annum and the remaining at 10% per annum. If at the end of 2 years he paid in all Rs. 36480 to settle the loan amount, then what was the amount borrowed at 12% per annum?
a) Rs. 16000
b) Rs. 18000
c) Rs. 17500
d) Rs. 12000
e) None of these
Directions (Q. 11-15): Refer to the table and answer the given questions.
Data related to number of visitors in two museums (A and B) during 4 days
11). In Museum A, during Wednesday 30% of male visitors and 70% of female visitors were from school X. What was the number of visitors (male + female) in Museum A from school X during Wednesday ?
a) 165
b) 183
c) 161
d) 153
e) 157
12). Number of visitors (male + female) in museums A and B increased by 5% and 15% respectively from Thursday to Saturday. If the total number of female visitors in Museums A and B together was equal during Thursday and Saturday, what was the total number of male visitors in museums A and B together on Saturday ?
a) 268
b) 238
c) 242
d) 248
e) 252
13). In Museum B, the respective ratio of female visitors during Tuesday and Friday was 2:3. If female visitors constituted 50% of the number of visitors (male + female) during Friday, what was the number of visitors (male + female) in Museum B on Friday ?
a) 288
b) 296
c) 294
d) 282
e) 276
14). In Museum A, what is the difference between the total number of male visitors during Monday and Tuesday together and that during Wednesday and Thursday together ?
a) 183
b) 177
c) 185
d) 187
e) 181
15). What is the average number of male visitors in museum B during Monday, Wednesday and Thursday ?
a) 134
b) 188
c) 185
d) 175
e) 184
Directions (Q. 16-20) : What value will come in place of question mark (?) in the given questions ? (You are not expected to calculate the exact value)
16). 18.05 x 8.99 - 52.02 = ?
a) 140
b) 75
c) 160
d) 110
e) 150
17). 149.96 x 3.02 - 114.57 x 1.93 = ?
a) 170
b) 220
c) 310
d) 190
e) 260
18). 45.04 ÷ 4.97 = ? ÷ 12.99
a) 104
b) 91
c) 120
d) 117
e) 143
19). 135.59 ÷ 7.62 x 2.93 = 75.01% of ?
a) 80
b) 60
c) 40
d) 20
e) 68
20). 75.05% of (289.96 + 142.01) = ?2
a) 10
b) 16
c) 14
d) 18
e) 12
Directions (Q. 21-25): what should come in the place of question mark (?) in the given number series?
21). 14, 8, 7, 11.5, 22, ?
a) 54
b) 64
c) 62
d) 58
e) 56
22). 8, 14, 25, 46, 82, ?
a) 132
b) 130
c) 138
d) 128
e) 142
23). 13, 14, 30, 93, ?, 1885
a) 358
b) 336
c) 364
d) 376
e) 380
24). 65, 70, 63, 74, 61, ?
a) 78
b) 58
c) 72
d) 46
e) 68
25). 9, 11, 16, 33, 98, ?
a) 350
b) 355
c) 360
d) 365
e) 370
Directions (Q. 26-30) : In the following questions, two equations are given. You have to solve both the equations and give answer.
26). I. x2 +3x-28 = 0
II. y2 - y -20 = 0
a) x = y or relationship cannot be decided
b) x > y
c) x < y
d) x ≥ y
e) x ≤ y
27). I.5 x2 + 11x+ 6 =0
II. y2 - 34y - 336 = 0
a) x > y
b) x ≤ y
c) x = y or relationship cannot be decided
d) x<y
e) x≥y
28). I. 2x2+ 18x+ 40 = 0
II. 2y2 +15y+ 27 = 0
a) x<y
b) x≥y
c) x≤y
d) x > y
e) x = y or relationship cannot be decided
29). I.6x2-29x+35 = 0
II.3y2-11y+10=0
a) x ≥ y
b) x = y or relationship cannot be decided
c) x ≤ y
d) x>y
e) x<y
30). I. x2 + x - 20 = 0
II.y2 -y-30=0
a) x = y or relationship cannot be decided
b) x>y
c) x<y
d) x ≤ y
e) x ≥ y
31). A man rows to a place 210 km away and comes back to the starting point. If the speed of the stream is 3 kmph and the speed of the boat in still water is 18 kmph, then what is the total time taken by him?
a) 24 hours
b) 25 hours
c) 26 hours
d) 22 hours
e) None of these
32). A circular road runs around a circular ground. If the radius of the ground is 3.5m and the difference between the circumference of the outer circle and that of the inner circle is 88m, then the area of the road is
a) 920m2
b) 918m2
c) 924m2
d) 926m2
e) None of these
33). A shopkeeper marks the price of an article at Rs.2400. What will be the selling price if he allows two successive discounts of 20% each?
a) Rs.1336
b) Rs.1550
c) Rs.1536
d) Rs.1760
e) None of these
34). In a mixture of 90 litres, the ratio of milk to water is 2 : 1. If this ratio is to be 1 : 2, then what is the quantity of water needed to be added?
a) 90 litres
b) 60 litres
c) 30 litres
d) 75 litres
e) None of these
35). Raju sells an article at a gain of 15%. Had he sold it for Rs.3780 more, he would have gained 20%. What is the cost price of the article?
a) Rs.75000
b) Rs.75600
c) Rs.75800
d) Rs.76500
e) None of these
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Answer
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1) B
2) D
3) A
4) B
5) C
6) C
7) B
8) D
9) E
10) D
11) C
12) A
13) D
14) E
15) A
16). D) 18.05 x 8.99 - 52.02 = ?
18 x9 - 52 = ? 1
62 -52 = ?
? = 110
17). B) 149.96 x 3.02 - 114.57 x 1.93 = ?
150 x3 -115 x2 = ?
450 - 230 = ?
? = 220
18). D) 45.04 ÷ 4.97 = ? ÷ 12.99
45 /5 = ?/13
9 x 13 = ?
? = 117
19). E) 135.594 ÷ 7.62 x 2.93 = 75.01% of ?
(136/8) x 3 = (75/100) × ?
17 x3 = (3/4) x ?
? = 68
20). D) 75.05% of (289.96 + 142.01) = ?2
75/100 x (290 + 142 ) = ?²
3/4 x432 = ?²
3 x 108 = ?²
324 = ?²
? = √324
? =18
21). E
22). C
23). D
24). A
25). B
26) A
27) C
28) E
29) D
30) A
31) A
32) C
33) C
34) A
35) B
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