Practice Set - 5 (Mathematics)

1. A train crosses a bridge of 250 m long in 30 s and crosses another tunnel of 150 m long in 20 s. Find the length of the train.

A. 72 m B. 50 m C. 100 m D. 60 m

2. A train running at 54 km/hr crosses a telegraph post in 18 s less time than it takes to cross a platform. Find the length of the platform.

A. 240 m B. 150 m C. 270 m D. 180 m

3. P can run 440 m in 51s and Q in 55s. By how many seconds will Q win if he has 40 m start ?

A. 7s  B. 2s  C. 9s     D. 1s

4. Find the difference between SI and CI on Rs.2,000 for 2 years at the rate of 10% per annum.

A. Rs.10       B. Rs.30     C. Rs.40       D. Rs.20

5. A man buys 10 pencils for Rs.3 and sells 8 per Rs.3. His gain percentage is:

A. 20%       B. 25%       C. 30%       D. 27%

6. A man is walking inside the tunnel AB. when he is 3/8th of the distance from A; he hears a train coming from behind him. He sees that when he moves towards B, the train just catches him at B, and similar logic if he tried to reach A. The man walks at a steady rate of 8miles/hr. What is the speed of the train?

A. 32miles/hour B. 17 miles/ hour C. 10.6 miles/hour D. Cannot be determined

7. A bag contains one-rupee, 50—paisa, 25-paisa and 10-paisa coins in the proportion 1 : 3 : 5 : 7. If the total amount is Rs.22.25, find the number of 25-paisa coins.

A. 5         B. 15          C. 25          D. 35

8. A businessman employed a salesman at a rate of Rs.1,500 per month. He also fixed a commission of 7.5% on his selling. If the salesman wants to earn Rs.6,000 per month, what shall be the value of his selling per month?

A. Rs.75,000 B. Rs.80,000 C. Rs.60,000 D.  Rs.45,000

9. The volume of a cube is numerically equal to the sum of its edges. What is its total surface area in square units?

A. 66   B. 138  C. 36    D. 72

10. A water tank having 1,000 L capacity was filled by adding 271 L of water and as many buckets of water as each bucket had capacity. What was the capacity of each bucket in liters?

A. 31    B. 27   C. 29    D. Cannot be determined

11. A motor car completes a journey in 10 hr, the first half at 21 km/hr and the second half at 24 km/hr. Find the distance.

A.225 km B. 224 km C. 198 km D. 236 km

12. A car travels from B at a speed of 20 km/hr. The bus travel starts from A at a time of 6 A.M. There is a bus at every half an hour interval. The car starts at 12 noon. Each bus travels at a speed of 25 km/hr. Distance between A and B is 100 km. During its journey, the number of buses that the car encounters is

A. 17    B. 13      C. 16        D. 10

13. P liters of oil was poured into a tank and it was still e% empty. How much oil must be poured into the tank in order to fill it to the brim?

A. e/100 − P    B. P²/100 − e   C. Pe/100 − e      D. Pe/100 − P

14. The ratio of sum of squares of first n natural numbers to square of sum of first n natural numbers is 17 : 325. The value of n is

  A. 15       B. 25          C. 30           D. 35

15. A bag contains 5 green and 7 blue balls. Another one contains 4 green and 8 blue balls. If a bag is chosen randomly and a ball is drawn from it at random then find the probability that it is green.

   A. 3/4      B. 1/4     C. 5/8        D. 3/8

16. If a number 774958A96B is to be divisible by 8 and 9, the values of A and B, respectively, will be:

  A. 7, 8     B. 8, 0        C. 5, 8       D. 3, 0

17. A man has 1044 candles. After burning, he can make a new candle from 9 stubs left behind. Find the maximum number of candles that can be made.

  A. 116      B. 120    C. 130         D. 144

18. Variables R and S are related by the equation R = 1/S². Now, if S is increased by 10%, what will happen to R ?

A. R decreases by 19%              B. R decreases by 10%

C. R decreases by 17%            D. R decreases by 21%

19. Series A: 2, 5, 17, 71,.............. ; Series B: 1, a, b, c,.......What will replace symbol c ?

  A. 70       B. 27         C. 47         D. 36 

20. From each of the two given numbers, half of the smaller number is subtracted. Of the resulting numbers, the largest is three times the smaller one. What is the ratio of the two numbers?

  A. 2 : 1      B. 5 : 4        C. 5 : 2       D. 3 : 2