Three girls start jogging from the same point around a circular track and each one completes one round in 24… · ABC26GN0567

Subject: General Aptitude · Chapter: H.C.F. and L.C.M. of Numbers · Exam: Specialist Officers’ 2009

Three girls start jogging from the same point around a circular track and each one completes one round in 24 seconds, 36 seconds and 48 seconds respectively. After how much time will they meet at one point?
(a)2 minutes 20 seconds
(b)2 minutes 24 seconds
(c)3 minutes 36 seconds
(d)4 minutes 12 seconds
Answer
Answer (as printed): B
Explanation
L.C.M. of 24, 36, $48=144$. So, the three girls will meet at one point in 144 seconds i.e., 2 min 24 sec.

Explanation as extracted from the printed page; notation may be imperfect.

Study loop for H.C.F. and L.C.M. of Numbers

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