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How much does a watch gain or lose per day, if its hands coincide every 64 minutes? 

  • A.Gain 92 min
  • B.Lose 9 min
  • C.Lose 34 (5/11) min
  • D.Lose 32 (8/11) min

Answer: D

55 min. spaces are covered in 60 min.

60 min. spaces are covered in (60/55 × 60) min = 65 5/11 min
 Loss in 64 min = (65 5/11 - 64) = 16/11 min
Loss in 24 hrs= (16/11 × 1/64 × 24 × 60) min = 32 (8/11) min.

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