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CAT
IMPORTANT
Earn 100

Karan and Arjun run a 100 meter race, where Karan beats Arjun by 10 meters. To do a favour to Arjun, Karan starts 10 meters behind the starting line in a second 100 meter race. They both run at their earlier sppeds. Which of the followoing is true in connection with the second race?

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Important Questions on Arithmetic

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IMPORTANT
Quantitative Aptitude for the CAT>Chapter 2 - Arithmetic>Practice Exercises>Q 34
Only a single rail track exists between stations A and B on a railway line. One hour after the northbound super fast train N leaves station A for station B, a south-bound passenger train S reaches station A from station B. The speed of the super fast train is twice that of a normal express train E, while the speed of a passenger train S is half that of E. On a particular day, N leaves for B from A,20 min behind the normal schedule. In order to maintain the schedule, both N and S increased their speeds. If the super fast train doubles its speed, what should be the ratio (approximately) of the speeds of passenger train to that of the super fast train so that the passenger train S reaches exactly at the scheduled time at A on that day?
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IMPORTANT
Quantitative Aptitude for the CAT>Chapter 2 - Arithmetic>Practice Exercises>Q 35
A train approaches a tunnel AB. Inside the tunnel is a cat located at a point that is 38 of the distance AB measured from entrance A. When the train whistles, the cat runs. If the cat moves to the entrance of tunnel A, the train catches the cat exactly at the entrance. If the cat moves to exit B, the train catches the cat at exactly the exit. The speed of the train is greater than the speed of the cat by what order?
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Quantitative Aptitude for the CAT>Chapter 2 - Arithmetic>Practice Exercises>Q 36

At his usual rowing rate, Rahul can travel 12 miles downstream in a certain river in six hours less than it takes him to travel the same distance upstream. But if he could double his usual rowing rate for this 24 miles round trip, the downstream 12 miles would then take only one hour less than the upstream 12 miles. What is the speed of the current in miles per hour?

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Quantitative Aptitude for the CAT>Chapter 2 - Arithmetic>Practice Exercises>Q 37

A train X departs from station A at 11.00 a.m. for station B, which is 180 km away.Another train Y departs from station B at 11.00 a.m. for station A. Train  X travels at an average speed of 70 kms/hr and does not stop anywhere until it arrives at station B.Train Y travels at an average speed of 50 kms/hr, but has to stop for 15 minutes at station C, which is 60 kms away from station B enroute to station A. Ignoring the lengths of the trains, what is the distance, to the nearest km, from station A to the point where the trains cross each other?

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Quantitative Aptitude for the CAT>Chapter 2 - Arithmetic>Practice Exercises>Q 38
Three runners A,B and C run a race, with runner A finishing 12 meters ahead of runner B and 18 meters ahead of runner C, while runner B finishes 8 meters ahead of runner C. Each runner travels the entire distance at a constant speed. What was the length of the race?
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IMPORTANT
Quantitative Aptitude for the CAT>Chapter 2 - Arithmetic>Practice Exercises>Q 39
A truck travelling at 70 km/hr uses 30% more diesel to travel a certain distance than it does when it travels at a speed of 50 km/hr. If the truck can travel 19.5 km/L of diesel at 50 km/hr, how far can the truck travel on 10 L of diesel at a speed of 70 km/hr?
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IMPORTANT
Quantitative Aptitude for the CAT>Chapter 2 - Arithmetic>Practice Exercises>Q 1

If the ratio of speed of two trains and ratio of their lengths are given, we can find out the time taken by them to cross each other while passing in the same direction.

State whether true or false.

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

Sum of lengths of two trains are given. Speed of the longer train is less than the speed of the smaller train and both the speeds are given. We can find out the time taken by these trains to cross each other while passing in the opposite direction.

State whether true or false.