Aptitude Question Bank For AIEEE SSC

A train 240 m long passes a pole in 24 seconds. How long will it take to pass a platform 650 m long? A. 65 sec B. 89 sec C. 100 sec D. 150 sec Answer: Option B Explanation: Speed = 240 m/sec = 10 m/sec. 24 Required time = 240 + 650 sec = 89 sec.

Two trains running in opposite directions cross a man standing on the platform in 27 seconds and 17 seconds respectively and they cross each other in 23 seconds. The ratio of their speeds is: A. 1 : 3 B. 3 : 2 C. 3 : 4 D. None of these Answer: Option B Explanation: Let the speeds of the two trains be x m/sec and y m/sec respectively. Then, length of the first train = 27 x metres, and length of the second train = 17 y metres. 27 x + 17 y = 23 x + y 27 x + 17 y = 23 x + 23 y 4 x = 6 y x = 3 . y 2

The length of the bridge, which a train 130 metres long and travelling at 45 km/hr can cross in 30 seconds, is: A. 200 m B. 225 m C. 245 m D. 250 m Answer: Option C Explanation: Speed = 45 x 5 m/sec = 25 m/sec. 18 2 Time = 30 sec. Let the length of bridge be x metres. Then, 130 + x = 25 30 2 2(130 + x ) = 750 x = 245 m.

.  A train 125 m long passes a man, running at 5 km/hr in the same direction in which the train is going, in 10 seconds. The speed of the train is: A. 45 km/hr B. 50 km/hr C. 54 km/hr D. 55 km/hr Answer: Option B Explanation: Speed of the train relative to man = 125 m/sec 10    = 25 m/sec. 2    = 25 x 18 km/hr 2 5    = 45 km/hr. Let the speed of the train be x km/hr. Then, relative speed = ( x - 5) km/hr. x - 5 = 45         x = 50 km/hr.

A train running at the speed of 60 km/hr crosses a pole in 9 seconds. What is the length of the train? A. 120 metres B. 180 metres C. 324 metres D. 150 metres Answer: Option D Explanation: Speed= 60 x 5 m/sec = 50 m/sec. 18 3 Length of the train = (Speed x Time) = 50 x 9 m = 150 m. 3