Math Set - 12

1. In an election contest, 80% of the total number of voters cast their votes and the winner wins by getting 65% of the number of votes cast. The percentage of votes received by the winner with respect to the total number of voters is

a. 52  b. 53
c. 54  d. 55

2. A man makes a profit of 25% on cost price. This is represented on sale price as a gain of

a. 22%   b. 20%
c. 18.5% d. 16.3%

3. In a certain year the production of articles in a factory increases from 5600 to 7560. The increase in percentage of production of articles is

a. 40  b. 37.5
c. 35  d. 32.5

4. In a class there are 120 students. 60 of them pass in Bengali, 50 in English but 30 fail in both the subjects. The number of students who pass in both the subjects is

a. 30  b. 25
c. 20  d. 16

5. Some 50 posts are placed in a straight line at equal intervals covering a distance of 245 meters. The distance between two consecutive posts (in meter) is

a. 6    b. 5
c. 4.9  d. 3

6. Two alloys contain copper and zinc in the ratio of 8:3 and 15:7 respectively. If the two alloys are mixed in the proportion of 5:2, then the ratio of copper and zinc in the newly formed alloy is

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

7. A milk-man buys pure milk at Rs.10 per liter. He mixes water in such a proportion that by selling the adulterated milk at Rs.8 per liter he gains 20% on his outlay. The ratio of pure milk to water is

a. 3:2  b. 3:1
c. 2:3  d. 2:1

8. A boat covers a distance from A to B down the stream in 10 hrs. and from B to A in 20 hrs. If the speed of the boat in still water is 9 kms./hr, the distance between A and B in kms. Is

a. 125  b. 120
c. 115  d. 110

9. The greatest number of 3 digits which when divided by 20 leaves remainder 18 and when by 24 leaves remainder 22. The number is

a. 958  b. 960
c. 962  d. 964

10. A shopkeeper marked the sale price of his goods above 20% of the cost price. But at the time of selling he allows a commission of 12.55 to his customers. By this, the percentage of his gain stands at

a. 8.2  b. 6.4
c. 5.3  d. 5

11. A man makes a profit of 25% by selling 16 articles for Re.1. The numbers of articles he purchased for Re. 1 is

a.10  b. 20
c.12  d. 25

12. The ratio of ages of A and B is 5:9. One of them is older than the other by 24 years. The sum of the ages of A and B is

a. 76 years  b. 80 years
c. 84 years  d. 88 years

13. The monthly salaries of A and B are in the ratio 3:5. If A receives an increment of 10% and B 5%, the ratio of monthly salaries of A and 5 changes to

a. 22:35  b. 20:31
c. 18:25  d. 16:21

14. Wheat is bought at Rs.400 per quintal and sold at Rs.4.50 per kg. The profit percent is

a. 18.3%  b. 16.2%
c. 12.5%  d. 8% 

15. In a class there are 100 students. In an examination 70 % of them pass in Bengali and 60% pass in English. The maximum number of students who fail in both the subjects is

a. 20  b. 24
c. 26  d. 30

16. The daily income of A, B and C are as 2:5:8 A gets Rs.36 less than what C gets. The total daily income of the 3 persons is

a. Rs.100  b. Rs.90
c. Rs.80  d. Rs.60

17. A man buys a table and a chair for Rs.700. He sells the table at a profit of 20% and the chair at a loss of 10%. He still gains Rs.80. The cost price of the table is

a. Rs.200  b. Rs.300
c. Rs.500  d. Rs.400

18. The difference of two integers is 2134; one of them is twice the other. The smallest one is

a. 1234  b. 1324
c. 1423  d. 2134

19. A man wishes to distribute 90 fruits amongst 35 children. If each girl receives 3 fruits and each boy 2 fruits, the total number of boys is

a. 16  b. 15
c. 14  d. 12

20. The product of two numbers is 936. Their ratio is 13:18. The greater one is

a. 42  b. 36
c. 34  d. 37

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