MEDIUM
CAT
IMPORTANT
Earn 100

Ramesh and Somesh are competing in a 100 m race. Initially, Ramesh runs at twice the speed of Somesh for the first 50 m. After the 50 m mark, Ramesh runs at one-fourth his initial speed, while Somesh continues to run at his original speed. If Somesh catches up with Ramesh at a distance of ' N ' m from the finish line, then N is equal to:

100% studentsanswered this correctly

Important Questions on Arithmetic

EASY
CAT
IMPORTANT
Quantitative Aptitude for the CAT>Chapter 2 - Arithmetic>Practice Exercises>Q 40
The Howrah Mail leaves Trivandrum every day at 12:00 noon and reaches Howrah exactly three days later. Also, the Trivandrum Mail leaves Howrah at 12:00 noon every day and reaches Trivandrum exactly three days later. Not counting the trains just starting or just leaving the platform when a train leaves or arrives, how many Howrah Mails will one cross when travelling by Trivandrum Mail?
MEDIUM
CAT
IMPORTANT
Quantitative Aptitude for the CAT>Chapter 2 - Arithmetic>Practice Exercises>Q 41
A person starts writing natural numbers, starting from 1, on a blackboard, at the rate of 60 digits per min. At the same time, another person begins to erase the digits from 1 onwards, at the rate of 40 digits per min. Find the difference between the leftmost digit and the rightmost digit on the blackboard immediately after 1 h.
EASY
CAT
IMPORTANT
Quantitative Aptitude for the CAT>Chapter 2 - Arithmetic>Practice Exercises>Q 42
Two persons Prabhat and Vinay are walking around a circular park of the length 960 m. Prabhat walks at the rate of 80 m/min, while Vinay walks at the rate of 60 m/min. If both of them start from the same starting point at the same time in the same direction, when will they be together?
EASY
CAT
IMPORTANT
Quantitative Aptitude for the CAT>Chapter 2 - Arithmetic>Practice Exercises>Q 43

A 100 m long train is approaching an unmanned railway crossing. The train is running at a uniform speed of 90 km/h and is 1 km away from the crossing. At the same time, a packed jeep, also approaching the crossing, is 700 m away from it. Assuming that the jeep is also moving at a uniform speed of N, what is the range of N, for which the jeep will not collide with the train?

EASY
CAT
IMPORTANT
Quantitative Aptitude for the CAT>Chapter 2 - Arithmetic>Practice Exercises>Q 44
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?
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: 
EASY
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)?