Math Set - 11

1. The reduction of 12.5% in the price of an article enables a man to purchase 5 more for a rupee. The number of articles that can be purchased at the reduced price(per rupee) is

a. 40  b. 30
c. 48  d. 45

2. The simplified value of 0.0011-[0.011-{0.01-(0.1-0.2)}] is

a. 0.110   b. 0.1001
c. 0.1011  d. 0.0011

3. The price of 8 pens and 6 pencils is Rs.49 and that of 6 pens and 8 pencils is Rs.42. The price of each pencil is

a. Rs.5    b. Rs.3
c. Rs.1.50 d. Rs.1

4. A car travels at the rate of 40 km. per hour. In 9 seconds the car travels

a. 100 meters b. 150 meters
c. 75 meters  d. 120 meters

5. The square root of 11.1111 is

a. 1.1  b. 1.1111
c. 3.3  d. 3.3333

6. The maximum length of a rod that can be placed in a card board box whose inside measurement is 4 cms. breadth, 5 cm height and 20 cm length, is

a. 21 cm.  b. 21.2 cm.
c. 22 cm.  d. 22.5 cm.

7. A sum of money is deposited in a Bank at a fixed rate of interest (simple). If after two years it amounts to Rs.620 and after 4 years to Rs.740, the rate percent per annum of interest is

a. 10  b. 12
c. 14  d. 16

8. Three partners X, Y and Z contribute Rs.5000, Rs.6000 and Rs.7000 respectively to start a business. They agree to share the profits in proportion to their capitals. At the end of a year if Z gets Rs.1421 as his share of profit, then Y gets

a. Rs.1218  b. Rs.2436
c. Rs.1624  d. Rs.1842

9. A man can do double the amount of work that a boy can do in a given period of time. If 4 men and 8 boys can complete a work in 6 days, the same work can be completed by 2 men with 8 boys in

a. 8 days   b. 9 days
c. 10 days  d. 12 days

10. A leaky cistern contains water just sufficient to last for 30 days, it 35 liters are taken out daily. It lasts for 40 days if 25 liters are taken out daily. When full the volume of water in the cistern (in liters) is

a. 1000  b. 1100
c. 1200  d. 14000

11. Rs.600 is invested for some years at a certain rate percent per annum simple interest. If after the fixed period, the interest becomes ¼th of the total amount, the interest will be

a. Rs.240  b. Rs.200
c. Rs.180  d. Rs.160

12. In two successive years 56 and 64 students of a school appeared at the final examination. 75% and 87.5% passed. The average rate percent of pass is

a. 78%  b. 80%
c. 83%  d. 81.66%

13. A circle is inscribed in a square whose side is 21 cm. The area of the circle is (in sq.cms.)

a. 342.5  b. 344.5
c. 346.5  d. 348.5

14. A man standing on a railway platform observes that a moving train takes 5 secs to cross him and 16 secs to cross the platform completely. If the speed of the train be 54 km./hr., the length of the platform is

a. 150 m.  b. 165 m.
c. 176 m.  d. 187 m.

15. A man goes from A to B at a speed of 6km/hr. His average speed (in km.) is

a. 7   b. 7.5
c. 8   d. 10

16. A merchant buys tea at Rs.70 and Rs.80 per kg. and mixes them in the proportion of 3:2. He gains 25% on cost; he sells the blended tea per kg. at

a. Rs.74  b. Rs.80.50
c. Rs.85  d. Rs.92.50

17. A contractor employs 20 men to complete a job in 10 days but in 6 days the job is half finished. If it is to be completed in the fixed time, the number of additional men to be employed is

a. 6   b. 8
c. 9   d. 10

18. The number of prime numbers between 60 and 90 is

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

19. A garrison of 500 men has enough food for 40 days. After some days 300 men went away and the remaining food lasted for 50 days. The days after which the men left the garrison is

a. 20  b. 22
c. 24  d. 25

20. A man sells an article at a loss of 20%. This loss is represented on sale price as a loss of

a. 33%  b. 25%
c. 18%  d. 16%

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