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UG-CLAT entrance exam Question Bank Solutions for Mathematics

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Mathematics
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A streamer goes downstream from one port to another in 4 hours. It covers the same distance upstream in 5 hours. If the speed of the stream is 2 km/h, the distance between the two ports is

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A person crosses a 600m long street in 5 min. What is his speed in km per hour?

[1] Quantitative Techniques
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If a person walks at 14 km/h instead of 10 km/h, he would have walked 20 km more. The actual distance travelled by him is

[1] Quantitative Techniques
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In covering a distance of 30 km, Abhay takes 2 h more than Sameer. If Abhay doubles his speed, then he would take 1 h less than Sameer. Abhay's speed is

[1] Quantitative Techniques
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A man covered a certain distance at some speed. Had he moved 3 km/h faster, he would have taken 40 min less. If he had moved 2 km/h slower, he would have taken 40 min more. The distance (in km) is

[1] Quantitative Techniques
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In a flight of 600 km, an aircraft was slowed down due to bad weather. Its average speed for the trip was reduced by 200 km/h and the time of flight increased by 30 min. The duration of the flight is

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Excluding stoppages, the speed of a bus is 54 km/h and including stoppages, it is 45 km/h. For how many minutes does the bus stop per hour?

 

[1] Quantitative Techniques
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Robert is travelling on his cycle and has calculated to reach point A at 2 pm if he travels at 10 km/h, he will reach there at 12 noon if he travels at 15 km/h. At what speed must he travel to reach A at 1 pm?

[1] Quantitative Techniques
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The length of the bridge, which a train 130 m long on travelling at 45 km/h can cross in 30 s, is

[1] Quantitative Techniques
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A train passes a 110 m long platform in 40 s and a boy standing on the platform in 30 s. The length of the train is

[1] Quantitative Techniques
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A train moving with uniform speed crosses a pole in 2 s and a 250 m long bridge in 7 s. Find the length of the train.

[1] Quantitative Techniques
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Two trains, each 100 m long, moving in opposite directions, cross each other in 8 s. If one is moving twice as fast the other, then the speed of the faster train is

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Two trains of equal length are running on parallel lines in the same direction at 46 km/h and 36 km/h. The faster train passes the slower train in 36 s. The length of each train is

[1] Quantitative Techniques
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Two trains running in opposite directions cross a man standing on the platform in 27 sec and 17 sec, respectively and they cross each other in 23 sec. The ratio of their speeds is

[1] Quantitative Techniques
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A train can travel 50% faster than a car. Both start from point A at the same time and reach point B which is 75 km away from A at the same time. On the way. however, the train lost about 12.5 min while stopping at the stations. The speed of the car is

[1] Quantitative Techniques
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A boat takes 90 min less to travel 36 miles downstream than to travel the same distance upstream. If the speed of the boat in still water is 10 m/h, the speed of the stream is

[1] Quantitative Techniques
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A man rows to a place 48 km distance and come back in 14 h. He finds that he can row 4 km with the stream at the same time as 3 km against the stream. The rate of the stream is

[1] Quantitative Techniques
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A boat running upstream takes 8 h 48 m to cover a certain distance, while it takes 4 h to cover the same distance running downstream. What is the ratio between the speed of the boat and the speed of the water current respectively?

[1] Quantitative Techniques
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Mr. X drives to his office at an average speed of 48 km per hour. The time taken to cover the first 60% of the distance is 10 minutes more than the time taken to cover the remaining distance. How far is his office?

[1] Quantitative Techniques
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A car completes a certain journey in 8 h. It covers half the distance at 40 km/h and the rest at 60 km/h. The length of the journey is

[1] Quantitative Techniques
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