Test Preparation on CAT Quantitative Ability-3

1.

Find the approximate angle between the hands of a clock on Oz when the time is 16:50 a.m.

2.

At what time between 14 o' clock and 16 o'clock will the two hands of the clock be at an angle of 60??

3.

Ziba an inhabitant of the planet Oz leaves home between 7 a.m. and 8 a.m. 'and returns between1 p.m. and 2 p.m. to find that the minute and hour hands have interchanged their positions. For how long had Ziba gone out? (Assume that a.m. and p.m. 'are used in a similar manner as on our planet.)

4.

Ganesh and Harish start from the same point and run in the same direction, on. a circular track of length, 1600 m, ,at 50 m/min and 40 m/min respectively. Peter starts at the same time, from the same point and runs in the opposite direction at30 m/min. Find the time taken (in hours) upto the instant all three meet for the third time.

5.

In a race of 9000 m Ravi beats Rahul by 900 m, Rahul beats. Ramu by 500 m and Ravi beats Ramu by 4% minutes. By how many metres will Ravi beat' Ramu in a race of 2,000 m?

6.

Samanth and Saurav run a peculiar kind of race. They both run on separate rectangular fields of dimensions 60 m x 80 m and 30 m x 40 m respectively. They agreed on the condition that they would run at least once between any two corners of their respective tracks before they finish. Saurav can run at a speed of 1.35 m/sec. What is the minimum speed at which Samanth must run to beat Saurav by20 seconds?

7.

The obtuse angle between the hands of a clock is165?. After M minutes, the hands, of the clock are again at 165?. What is the minimum value of M? 30 seconds to cross a stationary pole. Find the- length of the second train.

8.

Two men simultaneously left from two places P and Q. One of them left P for Q and the other left Q for P. Both travelled, each with his own uniform speed. Having ^rived at their destination, they immediately turned back and travelled to their respective starting points. In this process, first time they met.at a point 18 km from Q and the second .time they met at a point 15 km from P. If the speed of the person starting person P is more than twice the speed of the other person, what is the distance between P and Q?

9.

Anil left his house for school a few minutes late but he travelled at 4/3 of his usual speed and reached school as many minutes early. The next day he left home as many minutes early as he was late the previous day and travelled at 8/11th of his usual speed and reached the school ? ? ? ? ? ? ? ? ? ? ? ? ? ?.

10.

A coyote chases a roadrunner. A roadrunner is a fast bird which runs 15 paces vis-a-vis the coyotes5 paces. But a coyote leaps' 314 feet in one pace while a roadrunner's pace is 1 foot long. How many paces will a coyote take to catch up with a running road runner that is 25 feet ahead?

Next Question Show Answer