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GATE 2023 || Aptitude || Quiz 3

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Question 1

Pipe X fills a tank at the rate of 125 litres/mint, pipe Y fills the tank at the rate of 75 litres/mint and pipe Z empty it at a rate of 50 litres/mint. The three pipes kept open for 1 minute each one after other, if the capacity of the tank is 5000 litres then how long it will take to fill the tank, when X is kept open first, followed by Y then Z.

Question 2

A Honda city has to cover a distance of 9 km in 45 minutes. If he covers one - Third of the distance in two-thirds of the total time, to cover the remaining distance in the remaining time, what should be his speed in km/hr?

Question 3

If two pipes function together, the tank will be filled in 12 hours. One pipe fills the tank 10 hours faster than the other. How many hours does it take the slower pipe to fill the tank?

Question 4

Distance between two places Delhi and Prayag is 4872 km. A car travels from Delhi to Prayag at a uniform speed of 84 kmph and returns back to Delhi with a uniform speed which is  lesser than its speed of travelling from Delhi to Prayag. Find the average speed of car during the whole journey.

Question 5

Two pipes can fill a cistern in 14 hours and 16 hours respectively. The pipes are opened together and it is found that due to leakage in the bottom it took 32 minutes more to fill the cistern. When the cistern is full, in what time will the leak empty it?

Question 6

Two pipes A and B can fill a tank in 18 hours and 24 hours respectively, while a third pipe C can empty 60% of the tank in 18 hours. All three pipes are opened in the beginning. After 12 hours C is closed. Find the total time in which the tank will be full ?

Question 7

A train running at 54 kmph takes 20 seconds to pass a platform. Next it takes 40% less time to pass a man walking at 6 kmph in the same direction in which the train is going. Find the length of the platform.

Question 8

There are 7 pipes attached to a tank, out of which some are inlet pipes and some are outlet pipes. Each of the inlet pipe can fill the tank in 10 hours and each of the outlet pipe can empty the tank in 15 hours. When all the pipes are opened together, the tank is filled in 2 hours. Find the number of inlet pipes.
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