EASY
CAT
IMPORTANT
Earn 100

A road from A to B is 1112 km long, first goes uphill, then crosses a plain, and then goes downhill. A person walking from A to B covered this road in 2 h 54 min, and the return journey took him 3 h 6 min. His speed uphill is 3 km/h, on the plain is 4 km/h and downhill is 5 km/h. What is the length of the plain part of the journey?

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Important Questions on Arithmetic

EASY
CAT
IMPORTANT
Quantitative Aptitude for the CAT>Chapter 2 - Arithmetic>Practice Exercises>Q 45
Two cyclists start from the same place to ride in the same direction. Aflatoon starts at noon with a speed of 8 km/h and Bablajoon starts at 2 pm with a speed of 10 km/h. At what times, Aflatoon and Bablajoon will be 5 km apart?
MEDIUM
CAT
IMPORTANT
Quantitative Aptitude for the CAT>Chapter 2 - Arithmetic>Practice Exercises>Q 46
Mrs. and Mr. Sinha travel from Patna to Lucknow and break their journey at Buxer. Somewhere between Patna and Lucknow, Mrs. Sinha asks, 'How far have we traveled?' Mr. Sinha replies, 'Half as far as the distance from here to Lucknow'. Somewhere between Buxer and Lucknow, exactly 300 km from the point where she asked the first question, Mrs. Sinha asks, 'How far have we to go?' Mr. Sinha replies, 'Half as far as the distance from Buxer to here'. The distance between Patna to Lucknow is: 
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CAT
IMPORTANT
Quantitative Aptitude for the CAT>Chapter 2 - Arithmetic>Practice Exercises>Q 47
At his normal speed, Rishu can go 18 km downstream in a flowing river in 9 h less than what he takes to go the same distance upstream. The downstream journey would take 1 h less than what the upstream journey would take provided he doubles his rate of rowing. Find the speed of the river (in km/h)?
MEDIUM
CAT
IMPORTANT
Quantitative Aptitude for the CAT>Chapter 2 - Arithmetic>Practice Exercises>Q 48
Umesh and Harish are running on a circular track of length 1200 m in opposite direction. Every time they meet, they exchange their speed as well as their directions. What is the shorter distance along the track between their 13th and 23rd meeting points, if the ratio of their original speeds is 1:5?
EASY
CAT
IMPORTANT
Quantitative Aptitude for the CAT>Chapter 2 - Arithmetic>Practice Exercises>Q 49
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?
EASY
CAT
IMPORTANT
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: 

EASY
CAT
IMPORTANT
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).
EASY
CAT
IMPORTANT
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.