AP SI 2018

Instructions

For the following questions answer them individually

Question 21

If the difference between the yearly compound interest for 2 years and simple interest for 3 years on a certain amount at 10% per annum is Rs. 1080, then that amount ( in Rs.) is

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Question 22

A person borrowed some money for simple interest and the interest paid ti $$\frac{4}{9}th$$  of the principal. If the magnitudes of the interest rate and the time period are equal, then the rate of interest per annum is

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Question 23

A person borrowed a sum for simple interest at a certain rate for a period of 3 years. If he has taken it for 2% higher rate, he would have to pay Rs. 720 more. Then the sum (in Rs.) borrowed by him is

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Question 24

Sunil borrowed Rs. 25,000 from a money lender at 20% compound interest per annum. At the end of each year he repaid Rs. 5,000. The amount he still owes to the lender after paying three such instalments is (in Rs.).

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Question 25

The number of times the number-key buttons of a typewriter have to be pressed in order to type the first 300 natural number is

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Question 26

A hollow cylinder with diameter 6 cm is partially filled with water. A sphere of 3 cm diameter is gently dropped into the cylinder. If it is immersed in water, then the water in the cylinder raises to a further height of

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Question 27

A hollow iron roller of length 63 cm and having girth 440 cm has a thickness of 4 cm. The volume (in cubic cms) of metal used for making it, is

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Question 28

A solid cone of height 9 cm with base diameter 18 cm is cut out from a wooden solid sphere of radius 9 cm. The percentage of wood that is wasted in this process is

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Question 29

Two pipes can separately fill a tank in 20 hrs and 30 hrs respectively. Both these pipes are opened simultaneously and after the tank is $$\ \frac{1}{3}$$rd full, a leak develops in the tank through which $$\frac{1}{3}$$rd of water supplied thereafter by both pipes gets leaked out. The total time (in hours) taken to fill the tank is 

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Question 30

A pipe can fill a cistern in 12 minutes while a second pipe fills it in 15 minutes. But a third pipe can empty that completely filled cistern 16 minutes. The first two pipes are kept open for 5 minutes initially and then the third one is also opened. Then the further time (in minutes) taken to empty that cistern is

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