UG-CLAT entrance exam Question Bank Solutions for Mathematics

A train 600 meters long is running at a speed of 90 kms/hr. If it crosses a tunnel in one minute, then the length of the tunnel is: 

In a 100 meters race, A beats B by 20 meters B beats C by 5 meters. In the same race,  A beats C by: 

A car driver increases the average speed of his car by 3 km/hr every hour. The total distance travelled in 7 hours if the distance covered in the first hour was 30 km, is 

Two trains, one from Howrah to Patna and other from Patna to Howrah start simultaneously. After they meet, the trains reach their destinations after 9 hours and 16 hours respectively. The ratio of their speed is.

A watch which gains uniformly is 2 minutes slow at noon on Monday and is 4 minutes 48 seconds fast at 2 p.m on the following Monday. When was it correct?

Along a road lie an odd number of stones placed at intervals of 10 m. These stones have to be assembled around the middle stone. A person can carry only one stone at a time. A man carried out the job starting with the stone in the middle, carrying stones in succession, thereby covering a distance of 4.8 km. Then, the number of stones is·

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A train which is moving at an average speed of 40 kmph, reaches its destination on time. When its average speed reduces to 35 kmph, then it reaches its destination 15 minutes late. The distance travelled by train is:

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A man rows to a place 45 k.ms distant and back in 12 hours. He realises that he can row 5 k.ms downstream at the same time as 3 k.ms against the stream. The velocity of the stream is:

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Taps ‘A’ and ‘B’ can fill a tank in `37 1/2` minutes and 45 minutes respectively. Both taps are opened and after some time tap ‘B’ is turned off. The tank is filled completely in exactly 30 minutes, if tap ‘B’ is turned off after:

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A train ‘X’ leaves station ‘A’ at 3 p.m and reaches station ‘B’ at 4.30 p. m., while another train ‘Y’ leaves station ‘B’ at 3.00 p.m and reaches station ‘A’ at 4.00 p.m. These two trains cross each other at: 

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A boat travels upstream from A to B and back from B to A in 5 hours. The speed of the boat in still water is 8 km/hour and the speed of the current is 4 km/hour. Then, the distance from A to B is:

If a person travels at a speed of 40 km/h he will reach his destination on time. He covered half the journey in `2/3` of the time. At what speed (in km/h) should he travel to cover the remaining journey to reach the destination on time?

A train 100 meters long-running at 54 km/hr takes 20 seconds to pass a bridge. The length of the bridge is

A person takes 3 hours to walk a certain distance and riding back. He could walk both ways in 5 hours. How long could it take to ride both ways.

A train 300 meters long is running at a speed of 25 meters per second, it will cross a bridge 200 meters long in

120 men had food provision for 200 days. After 5 days, 30 men died of an epidemic. The food will last for further

In a school for midday meal food is sufficient for 250 students for 33 days, if each student is given 125 gm meals. 80 more students joined the school. If the same amount of meal is given to each student, then the food will last for

Pipe A can fill a tank in 10 hr and Pipe B can fill the same tank in 12 hr. Both the pipes are opened to fill the tank and after 3 hr Pipe A is closed. Pipe B will fill the remaining part of the tank in:

A person covers a certain distance by car at a speed of 30 km/h and comes back at a speed of 40 km/h. The average speed during the travel is

A man can row 5 km/h in still water. If the speed of the current is 1 km/h, it takes 3 h more upstream than in the downstream for the same distance. The distance is