Math Set - 9

1. Rs.310 were divided amongst 100 children ; each boy received Rs.2.50 and each girl Rs.4. The number of girls was

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

2. The product of two numbers is 5436 and half of one of them is 302. The other number is

a. 9   b. 7
c. 8   d. 11

3. 5 chairs and 2 tables cost Rs.1080; the cost of 2 chairs is equal to that of 1 table. The cost of 1 chair and 1 table is

a. Rs.360  b. Rs.290
c. Rs.350  d. Rs.475

4. A man spends in 4 months as much as he earns is 3 months. The annual savings out of an annual income of Rs.4824 is

a. Rs.1206  b. Rs.1528
c. Rs.1600  d. Rs.840

5. Two numbers are in the ratio 5:7 and their H.C.F is 12. The L.C.M of the number is

a. 420  b. 60
c. 84  d. 140

6. The present ages of the father and the son are together 60 years. 6 years ago the father was 5 times as old as the son. The age of the son after 6 years will be

a. 20 years  b. 16 years
c. 18 years  d. 24 years

7. A number lies between 1000 and 1500. The number is exactly divisible by 36 and 102.The number is

a. 1336  b. 1224
c. 1024  d. 1152

8. The smallest integer by which 1183 is to be divided to make it a perfect square is

a. 2   b. 3
c. 5   d. 7

9. The difference between ¾ of Rs.100 and ¾% of Rs.100 is

a. Rs.75 b. Rs.25
c. Rs.74.25 d. Rs.75.40

10. A reduction of 10% in the price of tea enables one to purchase 1 kg. tea more for Rs.720. The original price of tea per kg. is

a. Rs.72  b. Rs.80
c. Rs.90  d. Rs.88

11. A sold one article to B and lost 20%, B sold it to C and gained 20%. If A sold the article for the price C paid, he would have

a. Gained 4% b. Lost 4%
c. Gained 5% d. Lost 5%

12. The average of 10 number is 6.5, the average of the first six is 4.5 and that of the last five is 9. The sixth number is

a. 10  b. 9
c. 8     d. 7

13. The length of a rectangular lawn is twice its breadth. The cost of leveling it @ Rs.2.50 per square meter is Rs.500. the cost of enclosing it with a fence of iron railings @ Rs.12 per meter is

a. Rs.1500  b. Rs.1000
c. Rs.800  d. Rs.720

14. A train travels from Howrah to Burdwan at the rate of 45 Km per hour and returns at the rate of 36 km. per hour. The average rate of running of the train for the whole journey was

a. 35 km./hr b. 50 km/hr
c. 55 km/hr d. 40 km/hr

15. A sum of Rs.1400 was divided amongst A, B and C, so that ½ of A’s share =1/5 of B’s share=1/3 of C’s share. The money received by c is

a. Rs.420  b. Rs.280
c. Rs.700  d. Rs.980

16. Two trains, 60 meter and 90 meter long, run at the rates of 48 km. and 60 km. per hour respectively on parallel rails in opposite directions. Time required by a person sitting in the first train to cross the other train is

a. 3 sec.  b. 2 sec.
c. 4 sec.  d. 2.5 sec.

17. A quantity of rice suffices a family for 30 days it 5 kg. of rice are given away to charity every day; but only 25 days it 8 kg. of rice are given in charity daily. The total quantity of rice the family had in store was

a. 150 kg.  b. 200 kg.
c. 450 kg.  d. 400 kg.

18. A can do a piece of work in 9 days and B in 18 days. They begin together but A goes away 3 days before the work is completed. The time in which the work was finished is

a. 17 days  b. 21 days
c. 5 days  d. 8 days

19. 40 men can do a piece of work in a certain number of days. If only 30 men were employed to do the same work, it would require 6 days more. The time in which 60 men can do the work is

a. 16 days  b. 20 days
c. 24 days  d. 12 days

20. . Two pipes can fill a cistern in 25 and 30 minutes respectively. Both the pipes are opened together, the time when the first pipe must be turned off so that the cistern may be filled in 15 minutes is

a. 10 mins.  b. 12 mins.
c. 15 mins.  d. 12min 30sec

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