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Home Aptitude Problems on H.C.F and L.C.M See What Others Are Saying!
  • 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 252s, B in 308s and C in 198s, all starting of the same point. After what time will they meet again at the string point?


  • Options
  • A. 26 min and 18s
  • B. 42 min and 36s
  • C. 45 min
  • D. 46 min and 12s

  • Correct Answer
  • 46 min and 12s 

    Explanation

    The time which all the three persons meet will be the LCM of the time by each person individually to complete one round.
    252 = 22 x 71 x 91
    308 = 22 x 71 x 111
    198 = 21 x 91 x 111
    ? LCM of 252, 308 and 198 = 22 x 71 x 91 x 111 = 2772
    So,A,B and C will again meet at the starting point in 2772 i.e.,46 min and 12s.


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