EASY
CAT
IMPORTANT
Earn 100

Magadh Express and Vikramshila Express run between Patna and New Delhi. Every night each of these trains leaves Patna for Delhi. Similarly, every night each of the trains leaves Delhi for Patna. The train journey lasts 36 h and the trains are identical in all aspects. If the train that leaves in the night is like the one that arrived in the morning, what is the minimum number of trains required?

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Important Questions on Arithmetic

MEDIUM
CAT
IMPORTANT
Quantitative Aptitude for the CAT>Chapter 2 - Arithmetic>Practice Exercises>Q 27
An athlete runs to and fro between points A and B at a speed of 10 km/h. A second athlete simultaneously runs from point B to Aand back at a speed of 15 km/h. If they cross each other 12 min after the start, after how much time will they cross each other? 
EASY
CAT
IMPORTANT
Quantitative Aptitude for the CAT>Chapter 2 - Arithmetic>Practice Exercises>Q 28
There are two swimmers A and B who start swimming towards each other from opposite banks of the lake. They meet at a point of 900 ft from one shore for the first time. They cross each other, touch the opposite bank and return. They meet each other again at 300 ft from the other shore. What is the width of the lake?
EASY
CAT
IMPORTANT
Quantitative Aptitude for the CAT>Chapter 2 - Arithmetic>Practice Exercises>Q 29
DMRC is plying trains between Vishwa Vidyalaya and Central Secretariat, which are at a distance of 120 km. There are three more stations in between Vishwa Vidyalaya and Central Secretariat and each train stops at these stations for two min. What is the minimum number of trains DMRC should put in this route if the trains are traveling at a speed of 40 km/h and it is desirable to have a regular interval of six min between the departures of two trains from both the stations?
EASY
CAT
IMPORTANT
Quantitative Aptitude for the CAT>Chapter 2 - Arithmetic>Practice Exercises>Q 30
The front wheels of a tractor make 36 revolutions per min, while the rear wheels make 18 revolutions per min. After how many seconds, will the two wheels be in the same position relative to each other as they were when they started moving?
MEDIUM
CAT
IMPORTANT
Quantitative Aptitude for the CAT>Chapter 2 - Arithmetic>Practice Exercises>Q 31
A train and a car start at the same time, parallel to each other in the same direction. The car starts its journey from the rear end of the train. The car reaches the front end of the train and comes back to the back end of the train. In the meantime, the mail train travels a distance of 1 km. If the speed and the length of the mail train is 1 km/h and 1 km, respectively, then what is the distance covered by the car?
EASY
CAT
IMPORTANT
Quantitative Aptitude for the CAT>Chapter 2 - Arithmetic>Practice Exercises>Q 35
Pramod can row at 3 km/h in still water. He wants to cross a river that is flowing at the speed of 4 km/h in the shortest possible time. Find the ratio of the distance between the point he leaves the bank on one side and the point that he reaches on the other side to the distance between the shortest possible distance to cross the river?
EASY
CAT
IMPORTANT
Quantitative Aptitude for the CAT>Chapter 2 - Arithmetic>Practice Exercises>Q 36
Vinit's rowing at a speed of 4 km/h in still water. He has to reach a destination that is 130 km downstream of a river. The river flows at a speed of 2 km/h but due to tides every 2 h, the velocity doubles and then after another 2 h, it halves. If Vinit starts at the change of the tide when the river was flowing at 2 km/h, then after how much time will he reach his destination?
MEDIUM
CAT
IMPORTANT
Quantitative Aptitude for the CAT>Chapter 2 - Arithmetic>Practice Exercises>Q 37
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: