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CAT
IMPORTANT
Earn 100

Two friends Manoj and Sagar start running simultaneously in an opposite direction on a circular track of the length 2100 m with speed of 7 m/s and 3 m/s, respectively. With every meeting, they exchange their speed and they meet a total of 10 times. How much distance did Sagar cover in total?

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Important Questions on Arithmetic

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Quantitative Aptitude for the CAT>Chapter 2 - Arithmetic>Practice Exercises>Q 50

A and B start simultaneously at one end of a swimming pool whose length is 50 m. The swimming race is a race of 1000 m. If A beats B and meets him, 17 times during the course and A 's speed is 5 m/s, then the speed of B could be: 

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Quantitative Aptitude for the CAT>Chapter 2 - Arithmetic>Practice Exercises>Q 6
In the shooting of the movie 'AKS', Manu, the actor, is running towards a vertical mirror with a speed of 10 m/s on a line which is perpendicular to the plane of the mirror. The mirror is moving towards Manu with the speed of 6 m/s along the same line. Find the speed of Manu's image with respect to Manu (the image of Manu forms on the other side of the mirror such that the distance between the image of Manu and the mirror is equal to the distance between Manu and the mirror).
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Quantitative Aptitude for the CAT>Chapter 2 - Arithmetic>Practice Exercises>Q 7
A rabbit, a tortoise, and a mongoose decide to run a closed circuit race. If the rabbit overtakes the mongoose two times per round, with the second overtake being at the starting point and the mongoose overtakes the tortoise four times per round, the fourth overtake being at the starting point, then find the ratio of the speed of the rabbit to that of the tortoise.
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IMPORTANT
Quantitative Aptitude for the CAT>Chapter 2 - Arithmetic>Practice Exercises>Q 8
 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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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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IMPORTANT
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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CAT
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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CAT
IMPORTANT
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?