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At what time between 3 & 4 will the hands of a watch point in opposite directions?

  • A.43 min past 3
  • B.42 (5/11) min past 3
  • C.49 (1/11) min past 3
  • D.50 min past 3

Answer: C

At 3 o'clock, the hands of the watch are 15 min. space apart.
To be in opposite directions, they must be 30 min. spaces apart. 
Minute hand must gain 45 min. space (15 + 30 min)
55 min spaces are gained in 60 min. 
45 min. spaces would be gained in (60/55 × 45) min.
Required time = 49 1/11 min. past 3.

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