SSC Apt Exam 04065

1. The profit percentage of A and B is same on selling the articles at Rs. 1800 each but A calculates his profit on the selling price while B calculates it correctly on the cost price which is equal to 20%. What is the difference in their profits ?

2 . A company instead of raising the mark-up by 20% discounted the cost price by 20% while stiching the price tag on its product. Further the company offers a discount of 6.25% to its customer. In this process company incurs a loss of Rs. 37.5 on a single article. What is the selling price of that article ?

3. Each of A and B sold their article at Rs.1818 but A incurred a loss of 10% while B gained by 1%. What is the ratio of cost price of the articles of A to that of B ?

4 . The number of students who opted for I T course decreased by 23%. If the number is 1540 now, then original number of students opting for IT course was:

5. If the height of a cone is increased by 200%, then its volume will be increased by:

6 . The amount of work in Rajesh Readers Publication is increased by 50%. By what per cent is it necessary to increase the number of workers to complete the new amount of work in previously planned time, if the productivity of the new labour is 25% more.

7 .The capacity of three vessels is in the ratio of 6 : 4 : 3 and they contain mixtures of milk and water. The ratios of milk and water in the vessels are 3 : 1, 4 : 3 and 5 : 2 respectively. If the mixtures of all three vessels are mixed together, find the ratio of milk and water in the new mixture formed so.

8 .A vessel contains 60 litre milk. 10 litre of the milk is taken out of the vessel and replaced with water. This procedure is repeated once more. Now 60 litre milk is poured into the vessel. And again 10 litre of mixture is taken out of the vessel and replaced with water. Find the ratio of milk and water in vessel finally.

9 .In a mixture the ratio of water and milk is 7 : 5. 24 litre of the mixture is taken out and is replaced with water. Now the new ratio of milk and water becomes 1 : 3. Find the initial quantity of the mixture.

10 . Buses start from a bus terminal with a speed of 20 km/hr at intervals of 10 minutes. What is the speed of a man coming from the opposite direction towards the bus terminal if he meets the buses at intervals of 8 minutes?

11. By walking at 3/4 of his usual speed, a man reaches his office 20 minutes later than his usual time. The usual time taken by him to reach his office is:

12. A boy starts everyday from home to pick up his girlfriend from college at 3 : 30 p.m. One day his girlfriend left the college at 2 : 30 p.m. and start walking to home at 6 km/h. She meets her boyfriend in the way who start at his normal time and they reach home 24 minutes earlier than usual. Find his speed :

13 . Shakshi, Priyanka and Pragati working separately can do a piece of work in 9, 12 and 36 hours respectively. If they work together they will complete the 60% of the work in how many days?

14 . Ram, Shyam and Ankit can complete a piece of work in 7 days, 9 days and 19 days respectively. In how many days they work together to complete the work?

15. Naveen, Ashish and Mohit can do a certain Job in 17, 19 and 21 days respectively. If they work together they will complete the work in?

16 . A sum of money becomes Rs.1344 in 3 years and in 7 years it becomes Rs. 1536. What is the principal sum where simple rate of interest is to be charged?

17. The simple interest on a certain sum at 4% per annum for 30 years is ` 120 more than the principal amount. Find the amount?

18 . What is the sum which gives Rs. 6300 as interest at the rate 7% per annum of simple interest in 7 1/2 years?

19 .The perimeter of a rhombus is 60 cm and one of its diagonal is 24 cm. The area of the rhombus is

20. If diagonals of a rhombus are 24 cm and 32 cm, then perimeter of that rhombus is

21 .The lengths of two parallel sides of a trapezium are 6 cm and 8 cm. If the height of the trapezium be 4 cm, then its area is

22.The radii of the base of two cylinders are in the ratio 3 : 5 and their heights in the ratio 2 : 3. The ratio of their curved surface will be :

23 .If the radii of two spheres are in the ratio 1 : 4, then their surface area are in the ratio :

24 .

25.