Math Set - 10

1. A box contains 378 coins in rupee, fifty paise and twenty-five paise coins, the ratio of their rupee values being 13:11:7. The number of 50 paise coins is

a. 42  b. 78
c. 66  d. 132

2. A sum of money doubles itself in 20 years. The sum of money that amounts to Rs.540 in 4 years at the same rate of simple interest is

a. Rs.400  b. Rs.550
c. Rs.650  d. Rs.450

3. A tradesman makes his goods at 25% above the cost price. If he allows his customers a deduction of 10% in the bill, the percentage of profit he makes is

a. 15%  b. 10%
c. 20%  d. 12.5%

4. If 12 men can do a piece of work in 30 days at 9 hours a day; the number of men that will be required to do the work, if they work for 24 days at 5 hours a day, is

a. 21  b. 30
c. 27  d. 35

5. If A:B=3:4; B:C=6:5, then A:C will be

a. 3:5  b. 4:5
c. 9:10  d. 4:9

6. A clock losses 6.5 sec. per hour when the room is hot, but gains 3.9 sec. per hour when the room is cold. The clock keeps correct time in 24 hours. In 24 hours the room is hot for

a. 6 hrs.  b. 8 hrs.
c. 18 hrs  d. 9 hrs

7. The perimeters of two square fields are 48 meters and 20 meters respectively. The perimeter of a third square which is equal in area to the sum of the areas of these two squares is

a. 68 m.  b. 34 m.
c. 44 m.  d. 52 m.

8. The percentage by which 120 is to be diminished to get 30 is

a. 30%  b. 25%
c. 20%  d. 33%

9. A train leaves one station at 6-45 pm and reached a second station 150 km away at 10-30 pm. The speed of the train in km. per hour is

a. 20 km./hr b. 30 km./hr
c. 40 km./hr d. 45 km./hr

10. A can row one kilometer in 6 minutes down the river and 6 km in 1 hour up the river. The speed of the current is

a. 2.5 km/hr b. 2 km./hr
c. 4 km./hr d. 3 km./hr

11. 90% of A’s income is Rs.342. If B earns Rs.456 at the same time, B’s income is more than that of A by

a. 10%  b. 15%
c. 20%  d. 25%

12. A certain number is divided into two parts such that18 times the first part added to 5 times the second equals 8 times the whole. The ratio of the parts is

a. 18:5  b. 5:18
c. 5:8  d. 3:10

13. The sum of two numbers is 45 and their difference is 1/9 of their sum. Their L.C.M. is

a. 200  b. 250
c. 100  d. 150

14. The least number which when divided by 24 and 36 leaves the remainder 17 and 29 respectively, is

a. 48  b. 72
c. 79  d. 65

15. The population of a place is 1200. In a year the births are 1 in 20 and the deaths 1 in 25. The population after one year will be

a. 1212  b. 1224
c. 1204  d. 1240

16. The sum of seven consecutive even integers is 140; the greatest even integer is

a. 22  b. 24
c. 26  d. 28

17. The product of two numbers is 20.The sum of the two numbers is greater than their difference by 4. The ratio of the greater to the smaller number is

a. 5:1  b. 3:2
c. 4:3  d. 7:2

18. The equal sums are invested at simple interest at the rate of 10% p.a. and 125 p.a. for 3 years. If at the end of the period the total interest amounts to Rs.363, the total sum invested is

a. Rs.550  b. Rs.600
c. Rs.1100  d. 1200

19. The number of days in the first five months of the year 1916 A.D. was

a. 150  b. 151
c. 152  d. 148

20. The least number added to 804 to make it a perfect square is

a. 37  b. 96
c. 67  d. 49

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