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 3 birds fly along the circumference of a jungle. They complete one round in 27 minutes, 45 minutes and 63 minutes respectively. Since they start together, when will they meet again at the starting position? 

  • A.945 minutes
  • B.126 minutes
  • C.135 minutes
  • D.9 hours

Answer: A

They meet at the start again after a whole number of laps each, so take the L.C.M. of the lap times.

\[ 27 = 3^{3}, \quad 45 = 3^{2}\cdot 5, \quad 63 = 3^{2}\cdot 7 \]

\[ \text{L.C.M.} = 3^{3} \cdot 5 \cdot 7 = 945 \text{ minutes} \]

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