Math Set - 18

1. A sample is prepared by adding 25% by volume of water to pure glycerin. 40 liters of the sample is taken and to it pure glycerin is added in such a way that water comes down to 5% of the volume of the mixture. The of pure glycerin added is

a. 150 liters b. 100 liters
c. 160 liters d. 140 liters

2. A man has to cover 80 km. in 10 hours. He covers half of the journey in 3/5 of the time. If he has cover the remaining distance in the time left, his speed in km. per hour should now be

a. 12  b. 10
c. 15  d. 8

3. The sum of the ages of A and his father is 63 years. Four years ago the father was four times as old as A. The present age of the father is

a. 50 years  b. 45 years
c. 44 years  d. 48 years

4. The least number which must be added to 5322 multiplied by 5326 to make it a perfect square is

a. 4   b. 9
c. 1   d. 25

5. The daily wages of two workers are in the ratio 5:6. One gets Rs.11 more than the other. The total wages earned by them together in one day, is

a. Rs.120  b. Rs.121
c. Rs.132  d. Rs.88

6. A sum of Rs.625 is divided amongst 3 men, 5 women and 6 boys in such a way that each man receives 3 times as much as woman and each woman twice as much as a boy. The amount received by a woman is

a. Rs.25  b. Rs.75
c. Rs.50  d. Rs.60

7. The average monthly salary of A, B and C is Rs.400, and that of B, C and D is Rs.500. The actual salary of D is

a. Rs.575  b. Rs.475
c. Rs.525  d. Rs.350

8. Three persons A, B, C start a business, their capitals being in proportion 3:4:5. The amount of profit earned by C exceeds that earned by A by Rs.200. The total profit earned is

a. Rs.600   b. Rs.800
c. Rs.1000  d. Rs.1200

9. There are articles of three types A, B, C. 5 articles of type A cost as much as 8 articles of type B and 30 articles of type B cost as much as 3 articles of type C. The number of articles of type C that can be exchanged for 50 articles of type A, is

a. 6   b. 8
c. 10  d. 5

10. A bookseller sold 20 books for Rs.1750, thereby losing the cost price of 6 books. The percentage loss of the bookseller is

a. 15%  b. 10%
c. 20%  d. 30%

11. In 12 liters of diluted acid, the volumes of water: acid=1:5, some liters of acid are added so as to change the ratio to 1:8. The number of liters of acid added, is

a. 5   b. 6
c. 4   d. 3

12. The price of an article is reduced by 25%. Before reduction 12 articles could be purchased for Re.1. After reduction the number of articles that can be purchased for Re.1, is

a. 14  b. 15
c. 16  d. 18

13. The time taken by a boat in going from A to B and back to A is 5 hrs.20 m. If AB is 10 km. and speed of the current is 1 km. per hour, the speed of the boat in still water in km. per hour is

a. 3   b. 4
c. 5   d. 6

14. A number on being divided by 5 and 8 successively leaves remainders 3 and 7 respectively. The number on division by 40, leaves remainder

a. 23  b. 26
c. 38  d. 34

15. A sum of money amounts to Rs.1920 in 5 years and to Rs.2208 in 7 years. The rate per cent of simple interest per annum is

a. 9   b. 10
c. 11  d. 12

16. The least integral number exactly divisible by ½, ¾ and 5/6 is

a. 15  b. 12
c. 8   d. 6

17. Of the numbers 3, 4, 8, 9, 11 the factors of 45276 are

a. 3, 4, 9  b. 3, 4, 11
c. 3, 4, 8  d. 3, 8, 11

18. The least number which divides 8019 to make the result a perfect square, is

a. 9   b. 6
c. 13  d. 11

19. The sum of two numbers is 2490: 6.5% of one number is equal to 8.5% of the other. The large number is

a. 1411  b. 1412
c. 1410  d. 1417

20. The price of an article is increased by 30%. It will return to the original price by a reduction of

a. 33.15%  b. 23.07%
c. 26.08%  d. 30%

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