Quantitative Aptitude

General Questions

21.  A and B walk around a circular track. They start at 8 a.m. from the same point in the opposite directions. A and B walk at a speed of 2 rounds per hour and 3 rounds per hour respectively. How many times shall they cross each other before 9.30 a.m ?
A. 5
B. 6
C. 7
D. 8
22.  A thief steals a car at 2.30 p.m. and drives it at 60 kmph. The theft is discovered at 3 p.m. and the owner sets off in another car at 75 kmph. When will he overtake the thief ?
A. 4.30 p.m.
B. 4.45 p.m.
C. 5 p.m.
D. 5.15 p.m.
23.  The distance between two cities A and B is 330 km. A train starts from A at 8 a.m and travels towards B at 60 km/hr. Another train starts from B at 9 a.m. and travels towards A at 75 km/hr. At what time do they meet ?
A. 10 a.m.
B. 10.30 a.m.
C. 11 a.m.
D. 11.30 a.m.
24.  For every 4 leaps taken by a dog, a cat takes 5 leaps in the same time. But distance covered in 3 leaps of dog is same as that of 4 leaps of cat. Then what is the ratio of speed of dog and cat ?
A. 15 : 14
B. 16 :15
C. 12 :11
D. 10 : 9
E. None of these
25.  Two trains start from P and Q respectively and travel towards each other at a speed of 50 km/hr and 40 km/hr respectively. By the time they meet, the first train has travelled 100 km more than the second. The distance between P and Q is :
A. 500 km
B. 630 km
C. 660 km
D. 900 km
26.  Mumbai Express left Delhi for Mumbai at 14.30 hrs, travelling at a speed of 60 kmph and Rajdhani Express left Delhi for Mumbai on the same day at 16.30 hrs, travelling at a speed of 80 kmph. How far away from Delhi will the two train meets ?
A. 120 km
B. 360 km
C. 480 km
D. 500 km
27.  Two trains starting at the same time from two stations 200 km apart and going in opposite directions cross each other at a distance of 110 km from one of the stations. What is the ratio of their speeds ?
A. 9 : 20
B. 11 : 9
C. 11 : 20
D. None of these
28.  In covering a certain distance, the speed of A and B are in the ratio of 3 : 4. A takes 30 minutes more than B to reach the distance. The time taken by A to reach the destination is :
A. 1 hour
B. 1 hour 30 minutes
C. 2 hours
D. 2 hours 30 minutes
29.  A boy goes to his school from his house at a speed of 3 km/hr and returns at a speed of 2 km/hr. If he takes 5 hours in going and coming, the distance between his house and school is :
A. 5 km
B. 5.5 km
C. 6 km
D. 6.5 km
30.  A is faster than B. A and B each walk 24 km. The sum of their speeds is 7 km/hr and the sum of times taken by them is 14 hours. Then, A's speed is equal to :
A. 3 km / hr
B. 4 km / hr
C. 5 km / hr
D. 7 km / hr

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