Aptitude Questions
1. A natural number is greater than another natural number by 3. The sum of their squares is 89. Find them.
5, 8
11, 8
4, 7
9, 6
2. The average of 5 quantities is 6. The average of 3 of them is 4. What is the average of remaining 2 numbers?
9
10
8
9.5
3. The average of 13 results is 68. The average of first seven is 63 and that of last seven is 70. What is the seventh result?
57
46
47
94
4. Twenty years ago, my age was 1/3 of what it is now. What is my present age?
66 years
30 years
33 years
36 years
5. A full milk glass weighs 2.5 times that of an empty one. If a glass of milk is 250 gm, then the empty glass is
100 g
71.25 g
71.43 g
350 g
6. A bucket contains 38 liter of water. If 2/5 water is removed and then 3/5 of the remaining is removed, the remaining water will be -
Nil
28.8 liter
9.12 liter
14.6 liter
7. A car consumes 210 liters of petrol weekly. For how many days will 1470 liters of petrol be sufficient?
48
49
50
52
8. Think of a number, divide it by 4 and add 9 to it. The result is 15. What is the number thought of?
24
25
26
27
9. 3 entrepreneurs invest in the ratio 13:6:2. If the smallest investment is Rs. 3000, what is the total investment ?
Rs. 33,000
Rs. 31,500
Rs. 30,500
Rs. 28,000
10. Find the least number of 5 digits, which is exactly divisible by 89.
24
26
27
28
11. X divided by 899 gives a remainder 63. What remainder will be obtained by dividing X by 29?
10056
10001
10056
10057
12. A 3-digit number xyz is squared, which of the following could be the last digit of the square?
1
2
3
8
13. Earth travels around Sun @ approximately 18.5 miles/second. This speed is how many miles per hour?
1,080
1,160
64,800
66,600
14. If S were twice as old as he is, he would be 40 years older than J. J is 10 years younger than S. How old is S?
20 yrs
30 yrs
40 yrs
50 yrs
15. A sum of money was to be divided amongst A and B in the ratio of 2:3. If the money is divided in the ratio of 3: 2, A will benefit by Rs. 75. The total money is
Rs. 325
Rs. 375
Rs. 250
Rs. 225
_____________________________________________________
1. A person sells a book for Rs. 11. He gains as many percent as its cost price in rupees. What is the cost price?
Rs. 10
Rs. 12
Rs. 7.50
Rs. 5.50
2. A can build a wall in the same time in which B and C together can do it. If A and B together could do it in 25 days and C alone in 35 days, in what time could B alone do it?
175 days
100 days
90 days
None of these
3. 6 men and 8 women can do as much work in a given time as 3 men and 13 women. The capacities of a man and a woman are in the ratio
3:8
3:5
5:3
5:8
4. C.P of 12 pens = S.P. of 8 pens. Calculate the gain percentage.
25%
33%
37%
50%
5. If x + 2y = 10 and x/y =3 then x =
-2
2
4
6
6. If 1+ 1/x = 2 - 2/x then x =
-1
1/3
2/3
3
7. 300 gm of sugar solution has 40% sugar. How much sugar should be added to make it 50% in the solution?
55 gm
60 gm
70 gm
40 gm
8. There are rabbits and pigeons. There are 200 heads and 580 legs. How many pigeons are there?
100
120
110
130
9. Total age of A and B is 12 years more than the total age of B and C. By how many years is C younger than A?
12 years
24 years
Data insufficient
None of these
10. 40 feet rope is cut into 2. One piece is 18 feet longer than the other. What is the length of the shorter piece?
9
11
18
22
11. If x + 5y = 16 and x= -3y, then y =
-24
-8
8
2
12. The average of 5 quantities is 6. The average of 3 of them is 4. What is the average of remaining 2 numbers?
9
10
8
9.5
13. A, B and C distribute Rs. 1,000 among them. A and C have Rs. 400, B and C Rs. 700. How much does C have?
Rs 100
Rs 50
Rs 200
Rs 300
14. A full milk glass weighs 2.5 times that of an empty one. If a glass of milk is 250 gm, then the empty glass is
100 g
71.25 g
71.43 g
350 g
15. 2 runners cover the same distance at 15 and 16 kmph. Find the distance if one takes 16 minutes more than the other.
64 km
66 km
68 km
70 km
_______________________________________________________
1. What is the sum of this series?
1, 3, 5, 7, 9, ...... 99.
2500
1500
3500
None of the above
2. Find the sum of all 2 digit numbers divisible by 3.
1665
2008
1600
1565
3. A vehicle has an insurance of 4/5 of its original value. Premium on the vehicle at the rate of 1.3% amounts to 910 Rs. What is the original value of the vehicle?
78,500
82,500
87,500
90,000
4. A sells a bicycle to B and makes a profit of 20%. B sells the same bicycle to C at a profit of 25%. If the final S.P. of the bicycle was Rs. 225, find out the cost price of the bicycle for A.
120
125
140
150
5. A number is divided by 296 to give a remainder 75. When the same number is divided by 37, what will be the remainder?
1
2
4
8
6. A and B enter into a partnership with an investment of 16,000 and 12,000 rupees respectively. After three months, A withdraws Rs. 5000 while B invests Rs. 5000 more. After 3 months, C joins the business with an investment of Rs. 21,000. The total profit after a year of business comes out to be Rs 26, 400. By how much does the share of B exceed that of C?
1800
2400
3600
4200
7. a:b = 5:2. What is the value of (8a + 9b): (8a + 2b)?
22:29
26:61
29:22
61:26
8. What will be the number of zeroes at the end of the product of 1, 3, 5, 7 ….. 99?
10
11
1
Nil
9. In x/y, the remainder is 17. In 2x/y, the remainder is 5. What is y?
12
27
29
39
10. Which is the least number, which, when divided by 12 and 16, leave the same remainder, but is exactly divisible by 11?
99
55
132
176
11. When 8% of a number is added to the number itself the result is 810. What is the number?
700
750
722
745.2
12. What is the LCM of 24, 48 and 72?
144
154
156
157
13. What is the HCF of 143 and 208?
11
12
13
14
14. D’s income is Rs. 960. She saves Rs. 192. What % does she save?
25%
12%
20%
None of these
_______________________________________________________
1. R earns Rs.15000 a year. He spends 18% on rent. How much rent does he pay in a month?
2700
275
225
325
2. R got 35% hike in his salary and 20% incentive on sales. If R sold goods worth Rs. 850 last year and the salary was Rs 70, then how much more does he earn this year with sales of Rs.900?
204
304
294
454
3. X shaved 40% of his customers and gave a haircut to 80%. He charged Rs.7 for a shave and Rs.5 for a hair cut. If 20% of customers who opted for a shave also had a haircut, what were the earnings if he had 75 customers?
410
1020
510
None of these
4. A man purchased a carriage and horse in Rs. 1500. By selling the horse at 10% loss and carriage at 20% profit he earned a profit of 8% on the whole transaction. What is the price of carriage (in Rs.)?
600
900
1000
None of these
5. Earth travels around Sun @ approximately 18.5 miles/second. This speed is how many miles per hour?
1,080
1,160
64,800
66,600
6. A base ball team has lost 7 games and has won 13 games. What percent of the games played did they win?
35
65
50
30
7. If 1 out of every 50 people who play a certain games win a prize, what percent of people lose?
1%
2 %
99 %
98 %
8. If 20% of man’s salary is paid as rent, 60% are his living expenses and 10% is paid in LIC. If he spends remaining Rs.30 on the education of the children, find his salary.
Rs. 300
Rs.100/3
Rs.3000
None of these
9. The population of a town increases 10% per year. If at the end of 1974 the population was 8000, find out the population at the end of 1977.
968
9680
10648
880
10. Ram sold a cow for Rs.136 at a loss of 15%. At what price should he have sold it to gain 15% ?
148
184
198
None of these
11. Sachin can do a work in 20 days. He worked alone for 10 days. Remaining work was completed with the help of Rahul in 2 days. In how many days will the work be complete by both together?
8 days
12 days
6 days
4 days
12. The age ratio in the ages of A and B 1 year ago was 3:4. While it will be 5:6 after 1 year. What is the present age of B?
3 years
4 years
5 years
8 years
13. If the difference between the digits of a two digit number is 3 and the product of the digits is 18. What is the sum of the digits of that number?
8
9
7
6
14. A trader bought 50 kg of wheat of Rs.7 per kg. and 20 kg. of wheat at Rs.8 per kg. He mixed the two and sold the mixture at Rs.10 per kg. What is his Profit?
Rs.190
Rs.700
Rs.560
Rs.290
15. Two trains are moving in the same direction at 50 km/hr and 30 km/hr. The faster train crosses a man in the slower train in 18 seconds. Find the length of faster train.
125 meter
100 meter
110 meter
None of these
______________________________________________________
1. A,B and C enter into partnership. A advances Rs.1200 for 4 months, B Rs. 1400 for 8 Months and C Rs.1000 for 10 months. They gain Rs.585 altogether. Find the share of B.
Rs. 195
Rs. 212
Rs. 225
Rs.252
2. The average weight of 8 persons is increased by 2.5 kg when one of them who weighs 56 kg is replaced by a new man. The weight of the new man is
76 years
72 years
78 years
None of these
3. In a party every person shakes hand with every other person. If there was a total of 210 handshakes in the party, find the no.of persons who were present in the party?
23
27
21
18
4. Two pipes A and B can fill a tank in 24 minutes and 32 minutes respectively. If both the pipes are opened simultaneously, after how much time should B be closed so that the tank is full in 18 minutes?
5 minutes
8 minutes
6 minutes
9 minutes
5. Two trains for Delhi leave Jaipur at 8:30 am and 9:00 am and travel at 60 km/hr and 75 km/hr respectively. How many km from Jaipur will the two trains meet?
158 km
150 km
162 km
148 km
6. What is the maximum number of points in space that can be equidistant from each other?
3
4
5
6
7. John, Joni and Janardan start running at same time from the same point on a circular track of 70 meters radius. John and Joni run clockwise and Janardan runs counter clockwise. If John meets Janardan every 66 seconds and Joni meets Janardan every 110 seconds, how frequently(in seconds) will John meet Joni?
165
176
330
44
8. The length and breadth of a rectangular hall are 24m, 12. Carpets of size 8mx4m are available. How many carpets are needed to cover the hall?
9
4
2
10
9. Calculate the perimeter of a parallelogram with dimensions 12cm and 15cm.
43cm
23sqcm
65cm
54cm
10. Which of these sets is finite?
{x | x is even}
{x | x < 5}
{1, 2, 3,...}
{1, 2, 3,...,999,1000}
11. Let A ⊂ B, B ⊂ C and D ∪ A = C. Which statement is always false?
B ⊂ D
A ⊂ C
A = B
B ∩ D = ∅ and B ≠ A
12. Which point satisfies the linear quadratic system y = x + 3 and y = 5 - x2?
(-2,1)
(2,1)
(-1, 2)
(4,-1)
13. Find the radius of a circle whose diameter has endpoints (-3, -2) and (7, 8).
5
5√2
(2,3)
√52
14. Sourav walks 20 meters towards North. He then turns left and walks 40 meters. He again turns left and walks 20 meters. Further, he moves 20 meters after turning to right. How far is he from his original position?
48 meters
60 meters
54 meters
58 meters
15. In certain code language, ‘526’ means ‘sky is blue’ ; ‘24’ means ‘blue color’ and ‘436’ means ‘color is fun’. Which digit in that language mean ‘fun’?
5
4
3
2
15. There are 50 students of whom 47 are present. What % is absent?
8%
3%
6%
12%
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