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Question

A, B and C start at the same time in the same direction to run around a circular stadium. A completes a round in 252 seconds, B in 308 seconds and C in 198 seconds, all starting at the same point. After what time will they meet again at the starting point?

Options:
A .  26 minutes 18 seconds
B .  42 minutes 36 seconds
C .  45 minutes
D .  46 minutes 12 seconds
E .  None of these
Answer: Option D
 -  L.C.M. of 252, 308 and 198 = 2772. So, A, B and C will again meet at the starting point in 2772 see i.e., 46 min. 12 sec

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