CUET (UG) entrance exam Question Bank Solutions

P and Qare towns. A man drives from P to Q at an average speed of 50 km/h. He stop at Q for 4 hours and then heads back to P at an average speed of 40 km/h following the same route. What is his average speed (in km/ h correct to two decimal places) if he takes 22 hours for the entire trip?

A car travels a distance of x km at a speed of `5 5/9` m/sec and returns at 5m/sec to the starting point. If the total time taken by the car in `7 3/5` hours then the value of x (in km) is:

Count the number of F in the given sentence. The flower of a fulfilling tree filled the freely available puffy furnace of Fatima's father.

Two cyclists start simultaneously from two points A and B, their destinations being B and A, respectively. After crossing each other, they precisely take 2 hours 33 minutes 36 seconds and I hour 26 minute 24 seconds respectively to reach their destinations. What is the ratio of the speed of the first to that of the second cyclist?

Choose the set of numbers that is similar to the following set.

{25, 19, 36}

Four cricketers. David, Rashid, Vijay and Kamal of the national team represent Kerala, Punjab, Maharashtra and West Bengal though not necessarily in that order. We have the following information about them:

1. Two of them are bowlers and two are batsmen.
2. David is from Kerala and Rashid is not from Punjab but he is a bowler.
3. One of the batsmen is a Maharashtrian but Vijay is neither.
4. The Kerala player is not a bowler.

Which of the following is a batsman-bowler pair?

A man crosses a road 250 metres wide in 75 seconds. His speed in km/hr is :

A car consumes 5.4 litres of petrol to cover 60.48 km, how many kilometers be covered with 22 litres of petrol?

A person covers 40% of the distance from A to B at 8 km/ h, 40% of the remaining distance at 9 km/h and the rest at 12 km/h. His average speed (in km/h) for the journey is:

The ratio of length of two trains is 5 : 3 and the ratio of their speed is 6 : 5. The ratio of time taken by them to cross a pole is

A train travels 500 m in first minute. ln the next 4 minutes, it travels in each minute 125 m more than that in the previous minute. The average speed per hour of the train during those 5 minutes will be

A train goes from Gandhinagar to Patna at a speed of 128 kmph and returns to Gandhinagar at a different speed. If the average speed for the entire journey is l 12 kmph, then find the speed of the train for the return journey (to nearest kmph)

A bus covers a distance of 180 km at a certain speed. By, increasing the speed by 30 kmph, the bus can reach it's destination an hour before. The original speed of the bus is

The ratio of speed of the boat to that of the current is 7 : 3. If the boat goes downstream in 6 hrs 20 minutes, then it will return in

A man rides at the rate of 18 km/hr. but stops for 6 mins. to change horses at the end of every 7th km. The time that he will take to cover a distance of 90 km is

A truck covers 448 km in 8 hours. The average speed of a bicycle is `1/4` th of the average speed of the truck. How much distance will the bicycle cover in 7 hours?

A 300 metre long train moving with an average speed of 126 km/hr. crosses a platform in 24 seconds. A man crosses the same platform in 5 minutes. What is the speed of man in metre/second?

A and B started towards each other at the same time from places 114 km apart and met in 8 hours. If A's rate was 6 kms an hour, what was B's?

A motor starts with the speed of 70 kmph with its speed increasing every two hours by 19 kmph. In how many hours will it cover 345 kms?

A train running at the speed of 108 kmph, crosses a 365 metre long platform in 21 seconds. What is the length of the train?