Math Set - 4

1. A sheet of postage stamps is 22 cm. wide and 33 cm. long: each stamp is 2 cm. wide and 3 cm. long. The number of stamps in the sheet is

a. 131  b. 121
c. 125  d. 119

2. A number changes to 44 on being reduced by 12%. The number is

a. 50   b. 40
c. 60  d. 45

3. A man sold an article for Rs.60 so as to gain 20%. Had he sold the article for Rs.120, his profit would have been

a. 40%  b. 80%
c. 140%  d. 120%

4. The age of the father and the son are together 35 years. If twice of the father’s age added to three times of the son, is 75 years, the son’s age is

a. 2 years  b. 6 years
c. 4 years  d. 5 years

5. A sum of money lent at simple interest yields amounts to Rs.222 and Rs.240 at the end of 4 and 5 years. The rate of interest is

a. 10%  b. 9%
c. 12%  d. 15%

6. In an examination failure in English is 27%, that in Mathematics is 22% and that in both subject is 14%. The percentage of passes in both subjects is therefore

a. 37  b. 21
c. 65  d. 35

7. A man was engaged in a certain work for 6 days on the agreement that for everyday he worked he would get Rs.16 but that for everyday he absented himself he would be fined Rs.4. If he finally received Rs.76 at the bud of the work, then he was absent for

a. 1 days  b. 2 days
c. 5 days  d. None of these

8. A man standing on a railway platform noticed that a train traveling at the rate of 44 km. per hour took 9 seconds to pass him. The length of the train is

a. 120 m.  b. 112 m.
c. 100 m.  d. 110 m.

9. A certain sum of money was divided between A, B and C in the proportion of 5, 6 and 9 respectively. If A received Rs.45, then the whole sum of money was

a. Rs.100  b. Rs.120
c. Rs.160  d. Rs.180 

10. A rectangular solid is twice as long as it is broad and its height is 3 m. If its volume is 384 cu. m. its length is

a. 8 m.  b. 12 m.
c. 16 m.  d. None of these

11. With current a man can now boat 1 km. in 6 minutes and against current 1 km. in 10 minutes. The speed of the current is

a. 1.5 km/hr b. 1 km/hr
c. 2.5 km/hr d. 2 km/hr

12. Two samples of tea costing respectively Rs.54 per kg. and Rs.72 per kg. are blended. By selling the mixture at Rs.70 per kg., there is a 16.66% gain. The proportions of the mixture is

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

13. The number 11.5% of which is 69 is

a. 500  b. 600
c. 650  d. 700

14. The average salary income of A, B, C is Rs.140 and that of B, C, D is Rs.150. If the salary of A is Rs.130, that of D will be

a. Rs.160  b. Rs.172
c. Rs.184  d. Rs.200

15. The smallest integer by which 1792 should be multiplied to make it a perfect square is

a. 3   b. 5
c. 7   d. 9

16. The sum of two numbers is 2760, and the greater number is 11 times the smallest number, then the greater number is

a. 230  b. 2530
c. 276  d. 2150

17. The gross value of an estate which yields Rs.3,800 after the deduction of commission of 5% is

a. Rs.5000  b. Rs.4500
c. Rs.4000  d. Rs.3500

18. 15% of Rs.34 is

a. Rs.3.5  b. Rs.5
c. Rs.5.1  d. Rs.5.3

19. An article which cost Rs.130 was sold at a profit of 7.5%. The selling price of the article was

a. Rs.130    b. Rs.139.75
c. Rs.142.25    d. Rs.145

20. A pile of metal discs is 27.3 cm. in height. If each disc is 0.7 cm. thick, then the number of discs in the pile is

a. 35  b. 37
c. 39  d. 41

Answers: 1(b), 2(a), 3(c), 4(d), 5(c), 6(c), 7(a), 8(d), 9(d), 10(c)
11(d), 12(a), 13(b), 14(a), 15(c), 169b), 17(c), 18(c), 19(b), 20(c).