SSC Apt Exam 04057

1. A man sells a book and a table at 13% and 9% profit respectively then he earns rupees 1060 but if he sells the book at 16 2/3% profit and table at 11 1/9% loss then bears no profit no loss. Find their CP ?

2. A man sells two article for rupees 1710 if he sells the first article at 10% loss and 2nd article at 25% profit then find the amount of profit or loss in whole transaction ? If the cost price of first article is equal to selling price of 2nd article ?

3. If the selling price is double the profit triples find the profit percentage?

4. The sum of the numbers of boys and girls in a school is 150. If the number of boys is x, the number of girls becomes x % of the total number of students. The number of boys is :

5 .The population of Mukherjee Nagar is 700. If it increases by 7.14% per annum (i.e., every year). Find the population of the Mukherjee Nagar after one year.

6. 600 students took the test on physics and chemistry. 35% students failed in Physics and 45% students failed in chemistry and 40% of those who passed in chemistry also passed in Physics, then how many students failed in both:

7. From the 50 litres of pure milk, 5 litres of milk is taken out and after it 5 litres of water is added to the rest amount of milk. Again 5 litres of mixture of milk and water is drawn out and it was replaced by 5 litres of water. If this process is continued similarly for the three times, the amount of milk left after the third replacement:

8 . From a container of beer, a thief has stolen 15 litres of beer and replaced it with same quantity of water. He again repeated the same process. Thus in three attempts the ratio of beer and water became 343 : 169. The initial amount of beer in the container was :

9 . A jar was full with milk. A person used to draw out 20% of the milk from the jar and replaced it with sugar solution. He has repeated the same process 4 times and thus there was only 512 gm of milk left in the jar, the rest part of the jar was filled with the sugar solution. The initial amount of the milk in the jar was :

10 . A 75 metre long train is moving at 20 kmph. It will cross a man standing on the platform in:

11. A 150 metre long train crosses a 500 metre long bridge in 30 seconds. What time will it take to cross a platform 370 metre long?

12 . A train 300 metre long is running at a speed of 25 metre per second. It will cross a bridge of 200 metre in :

13. Pipe A takes 3/4 of the time required by pipe B to fill the empty tank individually. When an outlet pipe C is also opened simultaneously with pipe A and pipe B, it takes 3/4 more time to fill the empty tank than it takes normally when only pipe A and pipe B are opened together. If it takes 33 hours to fill when all the three pipes are opened simultaneously, then in what time pipe C can empty the full tank operating alone ?

14. A tank is connected with 8 pipes. Some of them are inlet pipes and rest work as outlet pipes. Each of the inlet pipe can fill the tank in 8 hours, individually, while each of those that empty the tank i.e., outlet pipe, can empty it in 6 hours individually. If all the pipes are kept open when the tank is full, it will take exactly 6 hours for the tank to empty. How many of these are inlet pipes?

15. A tank has two inlet pipes which can fill the empty tank in 12 hours and 15 hours working alone and one outlet pipe which can empty the full tank in 8 hours working alone. The inlet pipes are kept open for all the time but the outlet pipe was opened after 2 hours for one hour and then again closed for 2 hours then once again opened for one hour. This pattern of outlet pipe continued till the tank got completely filled. In how many hours the tank has been filled, working on the given pattern?

16 . ` 10,000 is lent out in two parts one at 8% and other at 10%. If the average annual interest rate is 9.2% then find the two parts

17 . ` 500 is invested at 12% per annum rate of simple interest and an another amount at 10% per annum rate of simple interest. If after 4 years the interest received on both the amounts is ` 480. Find the other amount.

18 . Bhuvnesh borrowed a certain amount from Rajesh at 12% per annum for the first three years at 16% per annum for next 5 years and at 20% per annum for the period beyond 8 years. If after 11 years the interest became ` 6080 more than the principal amount. Find the amount taken by Bhuvnesh

19 .The area of a rhombus is 216 cm2 and the length of its one diagonal is 24 cm. The perimeter (in cm) of the rhombus is

20 .The diagonals of a rhombus are 12 cm and 16 cm respectively. The length of one side is

21.The sides of a rhombus are 10 cm each and a diagonal measures 16 cm. Area of the rhombus is

22 .The edges of a cuboid are in the ratio 1 : 2 : 3 and its surface area is 88 cm2 . The volume of the cuboid is :

23 .The volume of two spheres are in the ratio 8 : 27. The ratio of their surface area is:

24.

25.