Aptitude Questions 7

QUANTITATIVE 1. The number, the square of which is the difference between the squares of 53.04 and 48.96 is (a) 20.4

(b) 24.00

(c) √24

(d) 5.36

(e) none of these

2. A train covers 180 km in 4 hours. Another train covers the same distance in 1 hour less. What is the difference in the distances covered by these trains in one hour? (a) 45 km

(b) 40 km

(c) 9 km

(d) 16 km

(e) none of these

3. Sum of the ages of A and B at present is 7 times the difference in their ages. After five years, the sum of their ages will be 9 times the difference in their ages. The present age of the elder of the two is therefore (a) 10 years the answer

(b) 20 years (c) 35 years (e) none of these

(d) data is not sufficient for giving

4. The average age of A, B and C is 17 years. If A is replaced by D, the average age of the group increases by 2. So the age of D must be (a) 19

(b)20

(c)18

(d)21

(e) none of these

5. Profits of a business are distributed among three partners A, B and C in such a way that four times the amount received by A is equal to six times the amount received by D and 11 times the amount received by C. the ratio in which they receive the amount is (a) 4:6:11 (d) 66:44:24

(b) 1/4:1/6:1/11 (e) none of these

(c) 11:6:4

6. A can do 50% more work as B can do in the same time. B alone can do a piece of work in 20 hours. A, with the help of B, can finish the same work in how many hours? (a) 12

(b) 13 1/3

(c) 8

(d) 5 1/2

(e) none

7. A pineapple costs Rs.7 each. A watermelon cost Rs.5 each. Z spends Rs.38 on these fruits. The number of pineapples purchased is (a) 2 data

(b) 3 (c) 4 (e) none of the above

(d) cannot be told from the given

8. For a college debating team, five gents and three lady students were available. It is desired to select two gents and two ladies to form the team. In how many ways the team can be selected? (a) 30

(b) 60

(c) 15

(d) 12

(e) none

9. The average of thirteen results is 68. the average of first seven is 63 and that of the last seven is 70. the seventh result is (a) 73.5

(b) 94

(c) 47

(d) 69

(e) none

10. In the mixture of 28 litres, the ratio of milk and water is 5:2. another two litres of water is added to the mixture, then the ratio of milk and water in the resulting mixture is (a) 7:2

(b) 5:4

(c) 1:2

(d) 2:1

11. The average age of 12 men is decreased by 1 year when 2 of them of ages 28 years and 32 years are replaced by 2 women of same age. The age of a women is (a) 23

(b) 24

(c) 25

(d) 26

12. A, B, C invests in a business with B’s capital being twice A’s and thrice C’s. In a year the profit amounts to Rs.330 which is 1/10th of the total capital. What is A’s capital? (a) 3000 (b) 6000 (c) 9000 (d) 12000 13. Last year the between the salaries of A and B was 3:4. But the ratio of their individual salaries between the last year and this year were 4:5 and 2:3 respectively. If the sum of their present salaries is Rs.4160. then how much is the salary of A now? (a) 1040

(b) 1600

(c) 25600

(d) 3120

14.Kailash, Sunil and Anil invests Rs.10000, Rs.14000 and Rs.12000 respectively in a business. If they get a profit of Rs.5400 at the end of a year, what will be the share of Sunil in the profit, if the profit is shared in proportion to investment? (a) 1500 none of these

(b) 2100

(c) 1800

(d) 150(e)

15. In a lottery, there are 10 prizes and 25 blanks. A lottery is drawn at random. What is the probability of getting a prize? (a) 1/10

(b) 2/5

(C) 2/7

(d) 5/7

16. How many arrangements can be made out of the letters of the word “ENGINEERING”? (a) 277200

(b) 92400

(c) 69300

(d) 23100

17. 12 buckets of water fill a tank when the capacity of each bucket is 13.5 litres. How many buckets will be needed to fill the same tank, if the capacity of each bucket is 9 litres? (a) 8

(b) 15

(c) 16

(d) 18

(c) 13

(d) 17

(e) none of these

18. 461+462+463+464 is divisible by (a) 3

(b) 11

19. Simran started a software business by investing Rs.50000. after 6 months, Namitha joined her with a capital of Rs.80000. after 3 years, they earned a profit of Rs.24500. what was Simran’s share in the profit? (a) 9423 (b) 10250 (c) 12500 (d) 14000 20. A car completes a journey in 18 hours. If half of the distance was covered at 40Km/hr and remaining half at 60Km/hr, then the total distance covered was (a) 432Km

(b) 864 miles

(c) 864 Km

(d) 432 miles

21. Find out the wrong number in the series 1000, 996, 1005, 989, 1014, 978, 1026, 963, 1044. (a) 1005

(b) 989

(c) 1014

(d) 1026

22. Which of the following is the largest number? (a) 3 1/3

(b) 5 1/5

(c) 2 1/2

(d) 7 1/7

23. Average age of 30 boys in a class is 10 years. If, however, the age of their teacher is also included, then average increases by 1 year. What is the age of teacher? (a) 38

(b) 40

(c) 30

(d) 41

(e) none of these

24. Which of the following statements is not correct? (a) (b) (c) (d)

there is only one prime number which is even the sum of 2 prime numbers is always even Product of 2 numbers = their L.C.M. * H.C.F. the product of 2 odd numbers is always odd

25. A father told his son, “I was as old as you are at present at the time of your birth”. If the father is 38 years old now then what was the son’s age 5 years back? (a) 14

(b) 19

(c) 38

(d) none of these