AILET entrance exam Question Bank Solutions

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A boat travels upstream from B to A and downstream from A to B in 3 hours. If the speed of the boat in still water is 9 km/hr and the speed of the current is 3 km/hr, the distance between A and B(in km) is

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A person can swim in still water at 4 km/hr. If the speed of water is 2 km/hr, how many hours will the man take to swim back against the current for 6 km?

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Two athletes A and B are running on a 900m long track from opposite ends, their speeds are in the ratio of 4: 5, when will they cross each other:

In a garden, there are B rows and 10 columns of papaya trees. The distance between the two trees is 2 metres and a distance of one metre is left from all sides of the boundary of the garden. The length of the garden is

A man can row 14 km/hr in still water. ln, the stream flowing with the speed of 10 km/hr he takes 4 hours to move with the stream and come back. Find the distance he rowed the boat.

A man covers a certain distance between his house and office on a Scooter. Having an average speed of 30 km/hr, he reaches the office late by 10 minutes. However, with a speed of 40 km/hr, he reaches his office 5 minutes earlier. The distance between his house and office is

Azhar can row 9.333 kmph in still waters and finds that it takes him thrice as much time to row up than as to row down the same distance in the river. The speed of the current of the river is

An ant moved for several seconds and covered 3 mm in the first second and 4 mm more in each successive second than in its predecessor. If the ant had covered 1 mm in the first second and 8 m more in each successive second, then the difference between the path it would cover during the same time and the actual path would be more than 6 mm but less than 30 mm. Find the time for which the ant moved (in seconds)

The Bubna dam has four inlets. Through the first three inlets, the dam can be filled in 12 minutes; through the second, the third and the fourth inlet, it can be filled in 15 minutes; and through the first and the first inlet, in 20 minutes. How much time will it take all the four inlets to fill up the dam?

A train travels with a speed of 20 m/s in the first 10 minutes, goes 8.5 kms in the next 10 minutes, 11 kms in the next 10 minutes, 8.5 kms in the next 10 and 6 kms in the next 10 minutes. What is the average speed of the train in kilometer per hour for the journey described?

India's Republic day in 1996 fell on Friday. Which weekday it will be celebrated in the year 2000?

An express train travels at an average speed of 120 km per hour, stopping for 4 minutes after every 80 kms. How long will it take the train to reach a destination 960 km away?

A clock gains 5 minutes every hour. Then the angle traversed by the second's hand in one minute will be

A student rides a bicycle at 8 kms/hr and reaches the school 2.5 minutes late. The next day he increases the speed to 10 kms/hr and reaches school 5 minutes early. How far is the school from his house?

Two taps ‘A’ and ‘B’ can fill a water reservoir in 8 and 6 hours respectively. A third tap ‘C’ can empty the tank completely in 24 hours. How long would it take to fill the empty tank when all the taps are open?

Military camp is having the provisions for 300 people consuming 600 grams daily for 75 days. They are joined by 60 more men and the daily ration was reduced by 100 grams. How long will the provisions last approximately?

Ram is traveling by car at a rate of 40 kmph. After 80 km he rests for 20 minutes. How long will he take to cover a distance of 240 kms?

There is a leak in the bottom of a tank. This leak can empty a full tank in 8 hours. When the tank is full, a tap is opened into the tank which admits 6 litres per hour and the tank is now emptied in 12 hours. What is the capacity of the tank?

A and B walk from X to Y, a distance of 27 km at 5 km/hr and 7 km/hr, respectively, B reaches Y and immediately turns back meeting A at Z. What is the distance from X to Z?

Amar is twice as fast as Rohit and Rohit is thrice as fast as Chanda is. The journey covered by Chanda in 42 minutes will be covered by Amar in