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  1. Three persons begin to walk around a circular track. They complete their revolutions in \(15\frac{1}{6}\)seconds, \(16\frac{1}{4}\) seconds and \(18\frac{2}{3}\)seconds respectively. After what time will they be together at the starting point again?

Options:
A .  3460 second
B .  3660 second
C .  3440 second
D .  3640 second
Answer: Option D

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L.C.M OF {15 1/6,16 1/4,18 2/3}
=L.C.M OF (91/6,65/4,56/3)
={L.C.M OF(91,65,56)}/{H.C.F OF(6,4,3)}
=3640/1
=3640 Sec.

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