Math Set - 2

1. At present the father is 4 times as old as the son. 5 years hence the father will be 3 times as old as the son. The father’s present age is

a. 32 years		b. 40 years
c. 44 years		d. 30 years

2. A man walks a certain distance and rides back in 3 hr. 45 mts. He could ride both ways in 2.5 hrs. To walk both ways, the man would take

a. 2.5 hrs.		b. 5 hrs.
c. 5.5 hrs.		d. 4 hrs.

3. The difference of simple interests on a certain sum lent at 12% per annum for 4 years and 7 years is Rs.216. The sum invested is

a. Rs.500		b. Rs.550
c. Rs.600		d. Rs.675

4. Annual incomes of A and B are in the ratio 4:3 and their annual expenses are in the ratio 3:2. If each of them saves Rs.600 at the end of the year, then the annual income of A is

a. Rs.1800		b. Rs2000
c. Rs.2200		d. Rs.2400

5. Walking at 4 km. per hour a man reaches his office 5 minutes late but if he walks at 5 km. per hour he reaches 2.5 minutes early. The distance of his office is

a. 2 km.		b. 2.5 km.
c. 5.2 km.		d. 3.5 km.

6. The salaries of A and B are respectively Rs.900 and Rs.600. A spends 90% of the salary and B 80% for family expenses. Savings of A and those of B are in the ratio of

a. 3:4		b. 4:3
c. 2:3		d. 2:5

7. If a train 150 meters long passes a telegraph post in 12 seconds then the speed of the train is

a. 35 km./hr.	b. 40 km./hr.
c. 45 km./hr.	d. 60 km./hr.

8. A rectangular plot of length 20 cm. breadth 15 cm. and height 10 cm. is half filled with water. 300 cu cm. more water is added to it. The increase in the level of water is

a. 1 cm.		b. 1.2 cm
c. 2 cm.		d. 3 cm.

9. Two numbers have their H.C.F. as 17 and L.C.M. as 340. The ratio of the two numbers is 5:4. The greater number is

a. 10		b. 14
c. 20		d. None of these

10. If 6 men or 8 boys can do a piece of work in 18 days, 3 men and 5 boys can do the same work in

a. 10 days		b. 12 days
c. 16 days		d. 20 days

11. A reduction of 12.5% in the price of an article enables a man to purchase 4 more for a rupee. The number of article that he can purchase at the reduced price is

a. 25		b. 30
c. 32		d. 40

12. A man rows down a river 18 km. in 4 hours with the stream and returns in 12 hours. The rate at which the stream flows is then

a. 3km./hr	b. 2.5 km./hr.
c. 2 km./hr.	d. 1.5 km./hr.

13. A sum of money lent out at simple interest amounts to Rs.560 in 3 years and to Rs.600 in 5 years. The rate of interest is

a. 5%		b. 20%
c. 15%		d. None of these

14. The proportion in which a 30% solution of a substance should be added to a 56% solution to give a resulting 40% solution is

a. 8:5		b. 5:8
c. 5:6		d. 6:5

15. A tap y can fill a cistern in 10 hours. A second tap x can fill the cistern in ¼ th of the time taken by y. Both the taps are opened together. The cistern is filled up in

a. 8 hrs. 		b. 2 hrs.
c. 4 hrs.		d. 5.5 hrs.

16. The least number by which 504 must be multiplied to make it divisible by 189 is

a. 2			b. 3
c. 8			d. 9

17. The smallest number which, when divided by 10 leaves a remainder 9, when divided by 12 leaves a remainder 11 and when divided by 14 leaves a remainder 13 is

a. 419		b. 369
c. 169		d. 421

18. The product of 9999 and 999 equals-

a. 9998001		b. 9990801
c. 9990081		d. 9989001. 

19. 1/3 of a pole is in mud, ¼ in water and 3.5 meters is above water. The length of the pole is

a. 6.3 meters	b. 4.2 meters
c. 8.4 meters	d. 11.12 meters

20. 429 mangoes and 715 oranges are to be equally divided among few children so that each child gets the maximum number of fruits. The required number of children is

a. 143		b. 13
c. 52		d. 11

Answers: 1(b), 2(b), 3(c), 4(d), 5(b), 6(a), 7(c), 8(a), 9(d), 10(c)
11(c), 12(d), 13(d), 14(a), 15(b), 16(b), 17(a), 18(d), 19(c), 20(a).