Math Set - 17

1. A is three times more efficient than B. Some work is completed by B in 12 days. The same work can be completed, when they work together, in

a. 3 days  b. 4 days
c. 2 days  d. 3.5 days

2. A is twice as old as B at present. 12 years ago he was six times as old. The present of A is

a. 25 years  b. 30 years
c. 24 years  d. 20 years

3. A tap can fill a cistern in 12 minutes, but due to a leak at the bottom of the cistern, it takes 3 minutes more to be filled up. If the tap is closed, the full cistern can be emptied through the leak in

a. 30 mins.  b. 40 mins
c. 60 mins   d. 45 mins

4. Rs.950 is divided amongst A, B, C. The shares of A and B are in the ratio of 2:3 and those of B and C in the ratio of 3: 5. B gets

a. Rs.190  b. Rs.475
c. Rs.285  d. Rs.150

5. A reduction of Rs.20 in the sale price of an article changes a profit of 12.5% to loss of 12.5%. The cost price of the article is

a. Rs.60  b. Rs.90
c. Rs.80  d. Rs.72

6. Telegraph posts are posted at equal distance to cover a distance of 1 km. The number of telegraph posts is 51. The distance between two consecutive posts, in meters, is equal to

a. 19  b. 20
c. 21  d. 19.5

7. The weight of copper and zinc in two alloys are in the ratio 5:3 and 1:7 respectively. Equal weights of the two alloys are melted together to form a third alloy. The ratio of copper and zinc in the third alloy is

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

8. In a certain year (not a leap-year), the first day of February was Monday. The first day of November of the same year was

a. Monday    b. Tuesday
c. Wednesday d. Sunday

9. Rebate at the rate of 15% is allowed when electricity bills are paid in time. A rebate of Rs.97.50 was allowed on a bill. The amount of the bill was

a. Rs.600  b. Rs.650
c. Rs.750  d. Rs.660

10. A number of workers in a factory receives Rs.13 per day, twice as many receives Rs.15 a day and thrice as many receives Rs.17 per day. The daily wage bill of the workers in the factory is Rs.1,410. The total number of workers in the factory is

a. 60  b. 70
c. 80  d. 90

11. The sides of two squares are 13cm. and 5cm. respectively. The third square has its area equal to the difference of the areas of the two given squares. The length of the side of the third square is

a. 12cm  b. 10cm
c. 8cm   d. 6cm

12. There are forty students in a class and the ratio of the number of boys to the number of girls in the class is 3:1. A number of girls is admitted into the class and the ratio of the number of boys to the number of girls changes to 3:2. The number of newly admitted girls is

a. 5   b. 12
c. 10  d. 15

13. The price of an article A is 16% more than that of a second article B. The difference of the prices of the articles is Rs.48. The price of A and B together amount to

a. Rs.348  b. Rs.300
c. Rs.564  d. Rs.648

14. A can do apiece of work in the same time in which B and C together can do it. The same work can be done by A and B together in 10 days and by C alone in 50 days. B can do the work in

a. 20 days  b. 25days
c. 30days   d. 18 days

15. A man was able to decrease the consumption of sugar by 25% when the piece of sugar is increased by 40%. The percentage increase or decrease in expenses on sugar is

a. increase 5%      b. decrease 5%
c. increase 10%     d. decrease 10%

16. The rate per cent per annum simple interest at which Rs.1200 amounts to Rs.1668 in six years, is

a. 12%   b. 9%
c. 6.5%  d. 7.5%

17. After traveling a distance of 120 km. on the second day, a man finds that the distances covered by him in the first two days are as 5:6. The distances covered by him on the first and the third day are as 4:5. On the third day the man travels

a. 100 km  b. 120 km
c. 80 km   d. 125 km

18. The time in which Rs.2000 invested at 5% simple interest per annum produces an income which is the same as that obtained by invest per annum for 5 years is

a. 6 years  b. 8 years
c. 5 years  d. 6.5 years

19. A man invested ¼ of his savings in company A, 1/5 of it in company B and the remaining Rs.2750 in company C. The amount invested in company A was

a. Rs.1000  b. Rs.1500
c. Rs.1250  d. Rs.1200

20. A sold an article to B at a profit of 20%, B sold the same article to C for Rs.75, thereby making a profit of 25%. A’s cost price of the article is

a. Rs.40  b. Rs.45
c. Rs.35  d. Rs.50

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