EASY
CAT
IMPORTANT
Earn 100

 Two friends A and B simultaneously start running around a circular track. They run in the same direction. A travels at 6 m/s and B runs at b m/s. If they cross each other at exactly two points on the circular track and b is a natural number less than 30, how many values can b take?

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Important Questions on Arithmetic

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IMPORTANT
Quantitative Aptitude for the CAT>Chapter 2 - Arithmetic>Practice Exercises>Q 20

My digital clock is peculiar. It counts 10 s of a normal clock as 1 min and 60 such minutes of itself as 1 h. It has also a display which shows the day. It was at par with the normal clock at 12 noon on Monday. At 3 pm of the same day (Actual time), I just read the time display of my weird clock. I read:

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Quantitative Aptitude for the CAT>Chapter 2 - Arithmetic>Practice Exercises>Q 25
Ram and Rahim left Bombay simultaneously towards Pune. Speed of Ram is 15 km/h and the speed of Rahim is 12 km/h. Half an hour later, Mohan started from Bombay towards Pune on the same road in the same direction. After some time, he overtook Rahim and 90 mins further, he overtook Ram. What is Mohan's speed? 
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IMPORTANT
Quantitative Aptitude for the CAT>Chapter 2 - Arithmetic>Practice Exercises>Q 28
A candidate misinterpreted the timings of an interview and reached the venue 35 min before the scheduled time. After 25 min, he presumed that the interview might have been cancelled and so he started walking back home at the speed of 1 km/h. But then he realized that he had left his bag there. So, he comes back with the same speed and enters the office along with the interviewer, who is 5 min late. How much distance had he moved away from the office?
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Quantitative Aptitude for the CAT>Chapter 2 - Arithmetic>Practice Exercises>Q 29
Two cyclists are travelling at a speed of 3 km/h and 10 km/h around a circular track. What is the ratio of a number of meeting points that would meet on that track if they travel in the same direction first and in the opposite direction next?
HARD
CAT
IMPORTANT
Quantitative Aptitude for the CAT>Chapter 2 - Arithmetic>Practice Exercises>Q 32
Two trains going on a parallel line in opposite directions take 10 s to cross each other. But if they are going in the same direction, the longer train crosses the shorter train in 30 s. If the length of the longer train is decreased by 50%, the time taken to cross the shorter train while going in the same direction decreases by 8 s. Find the time taken by the longer train to cross a tunnel twice its length, if the difference between the length of the trains is 25 m?
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Quantitative Aptitude for the CAT>Chapter 2 - Arithmetic>Practice Exercises>Q 33
A runner, Ajay runs twice on a circular track at a uniform speed. Vijay start at the same time as Ajay and after Vijay has completed one lap, he stops and Sanjay starts and completes the second lap at a uniform speed. It is given that they start the race exactly at 2:30 pm and the track is 500 m is circumference. Sanjay runs at a speed of 5 km/h greater than that of Vijay and Ajay's speed is 2 km/h greater than that of Vijay. When does Ajay finish the second lap, if Sanjay also finishes at the same time?
HARD
CAT
IMPORTANT
Quantitative Aptitude for the CAT>Chapter 2 - Arithmetic>Practice Exercises>Q 34
A man travels 1200 km from A to B by air, train, and ship. The distance travelled by ship is twice the distance traveled by train. The average speed of the aircraft is twice the overall speed and the time he was on the ship was thrice the time he was on the train. If the man travels 10 h by train out of the total travel time of 50 h, then what is the total distance covered by the ship?
MEDIUM
CAT
IMPORTANT
Quantitative Aptitude for the CAT>Chapter 2 - Arithmetic>Practice Exercises>Q 35
Three friends Rupesh, Nishit, and Vijay planned to race with each other on their bikes. Rupesh has a lot of riding experience, while Nishit had just learned how to ride. The race seemed unfair. Therefore, they decided that the excellent biker Rupesh will form a team with Nishit. They would bike against the other rider Vijay, each riding half the total distance of 50 km. Also, Nishit can ride only half as fast as Vijay and Rupesh travels four times as faster as Nishit. What is the ratio of the time taken by the winner to that of the looser?