SSC Apt Exam 04045

1. A man buys a shirt and a trouser for `371. If the trouser costs 12% more than the shirt, find the cost of the shirt

2. By selling 15 mangoes, a fruit vendor recovers the cost price of 20 mangoes. Find the profit percentage.

3. A digital diary is sold for Rs. 935 at a profit of 10%. What would have been the actual proft or loss on it, if it had been sold for Rs. 810?

4 . In a school 40% of the students play football and 50% play cricket. If 18% of the students neithter play football nor cricket, the percentage of the students playing both football and cricket is :

5 . In an examination, 52 % of the candidates failed in English and 42 % failed i n Mathematics. If 17 % percent failed in both the subjects, then the percentage of candidates, who passed in both the subjects, was:

6 . In an assembly elecition, a candidate got 55 % of the total valid votes. 2 % of the total votes were declared invalid. If the total number of voters is 104000, then the number of valid votes polled in favour of the candidate is :

7 .Three glass of equal capacity contains a mixture of water and alcohol in the ratio 4 : 3, 5 : 2 and 7 : 3 respectively. If the mixture of all three glasses is poured into an another fourth glass, what will be the ratio of alcohol and water in the new mixture.

8 .A vessel contains some milk. 6 litre of the milk was taken out of the vessel and replaced with 6 litre of water and again 6 litre of mixture was taken out and was replaced with water. Now the ratio of milk to water becomes 100 : 69. Find the initial quantity of milk in the vessel.

9 .A vessel cantains 500 litre milk. 40 litre milk was taken out and was replaced with 40 litre water. Next time 20 litre of the mixture was taken out and was replaced with 20 litre water. And in the last 10 litre mixture was taken out and replaced with 10 litre water. Find the quantity of milk remaining in the vessel.

10. Two taps A and B can fill a tank in 48 min. and 36 min. If both the taps are opened together. After how much time tap A is closed so that the whole tank will be filled in 25 min. 30 sec.

11. Taps A and B can fill a tank in 20 hours and 30 hours respectively. Both the pipes are opened to fill the tank but when the tank is 1/3 rd full, a leak develops in the bottom of the tank, through which 1/3 rd of the water supply by both the pipes leaks out. Then calculate in how much time the tank will be full ?

12. If taps A and B can fill a tank in 15 hours and 20 hours respectively. Both the taps are opened together when the tank is 1/4 th full, a leak develops in the bottom of the tank . Through which 1/5 th of water supply by both the pipes leaks out. Then calculate in how many hours the tank will be full ?

13. If a man runs at 10 km/h, then he arrives at a certain place at 1 p.m. But if increases his speed by 5 km/h then he reach at there at 11 a.m. At what speed must he runs to get there at noon :

14. A man covers a certain distance by his car. If he moved 6 km/h faster then he takes 4 hour less and If he had moved 4 km/h slower then he would have taken 4 hours more. Find his distance:

15 . If a man moves at 2 km/h faster than he takes 60 minute less and if he had moved 1 km/ h slower than he takes 40 minutes more. Find his distance :

16 .

17 .

18 .

19 .

20 .

21 .

22 .The radius of the incircle of a triangle whose sides are 9 cm, 12 cm and 15 cm is

23 . A wire of length 44 cm is first bent to form a circle and then rebent to form a square. The difference of the two enclosed areas is

24 .If the ratio of the diameters of two right circular cones of equal height be 3: 4, then the ratio of their volume will be

25 .The surface area of two spheres are in the ratio 4 : 9. Their volumes will be in the ratio