Math Set - 15

1. The sum of the squares of two numbers is 106 and the square root of one of them is 3. the cube of the other number is

a. 27  b. 64
c. 81  d. 125

2. A, B and C go into business as partners and collect a profit of Rs.1000. If A’s capital : B’s capital= 2:3 and B’s capital : C’s capital=2:5, the share of profit which goes to B is

a. Rs.160  b. Rs.240
c. Rs.600  d. Rs.400

3. A sum of money invested at 6% simple interest in the post office Savings Bank amounts to Rs.930 in 4 years. The time it will amount to Rs.1020 at the same rate is

a. 9 years  b. 8 years
c. 6 years  d. 7 years

4. A man can do a piece of work in 4 days which a woman can do in 12 days. They jointly finished the work and got Rs.60 as remuneration. The amount received by the woman is

a. Rs.15  b. Rs.5
c. Rs.40  d. Rs.45

5. The simple interest on a certain sum of money for four years at a certain rate of interest is 6/25th of the principal. The rate percent of simple interest charged is

a. 14%  b. 15%
c. 12%  d. 6%

6. Out of 10 teachers in a school one teacher retired and a new teacher aged 25 years joined; thereby the average age of the teachers was reduced by 3 years. The age of the retired teacher is

a. 60 years  b. 58 years
c. 55 years  d. 56 years

7. The area of a rectangular field, which is twice as long as it is broad, is 242 square meters. The perimeter of the field is

a. 66 m.  b. 121 m.
c. 22 m.  d. 132 m.

8. A train takes 14 sec. to completely cross one station 200 meters long and 18 sec. to completely cross another station 280 meters long. The length of the train is

a. 100m.   b. 80 m.
c. 110 m.  d. 120 m.

9. One man walks 165 kilometers in 6 days. If he walks 3.75 km in the same time which a second man takes to walk 4 km. the second man will walk in 15 days

a. 400 km.  b. 440 km.
c. 420 km.  d. 460 km.

10. X travels at the rate of 30 km/hr and is 4 kms ahead of Y. Y overtakes X in 16 minutes’ time. Y travels at the rate of

a. 15km/hr  b. 25 km/hr
c. 40 km/hr d. 45 km/hr

11. The answer to the problem “Find by what percent 15/16 exceeds 7/10” is

a. 15%  b. 20%
c. 25%  d. 25.33%

12. The H.C.F. and L.C.M. of two numbers are respectively, 12 and 2448 and their difference is 60. The greater number is

a. 204  b. 144
c. 120  d. 145

13. Given that x% is equal to the product of 1/7 and 0.25. The value of x is

a. 125/7 b. 25/7
c. 57/7  d. 0.175

14. The cost of fencing required to enclose a square field is Rs.210, when the cost of fencing per meter is Rs.3.50. The cost of paving the same field at Rs.3 per sq. meter is

a. Rs.210  b. Rs.420
c. Rs.675  d. Rs.600

15. A purse contains an equal number of rupees, half rupees and quarter rupees. If the total amount in the purse is Rs.85.75 the number of each coin is

a. 45  b. 47
c. 49  d. 51

16. 15 men working 6 hr. a day can do a piece of work in 10 days. The number of men working 4.5 hrs. a day, required to do the same work in 10 days is

a. 20  b. 15
c. 9   d. 6

17. The sum of the present ages of the father and his son is 100 years, and 5 years before their ages were in the ratio of 2:1. The present age of the son is

a. 65 years  b. 35 years
c. 7 years   d. 42 years

18. A room is 15 meter long and the cost of carpeting it is Rs.810. If the breadth of the room were 2 meter less, the cost of the carpeting would have been Rs.675. The perimeter of the room is

a. 50 m.  b. 45 m.
c. 54 m.  d. 60 m.

19. The least number of soldiers that can be arranged in 12, 15 or 18 equal rows and can also be arranged in a solid square is

a. 144  b. 225
c. 324  d. 900

20. In an examination A and B secured 6/7 and 5/6 of the full marks. B secured 20 marks less than A. The marks secured by A were

a. 680  b. 720
c. 700  d. 710

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