Question 55

The minutes hand of an incorrect clock overtakes the hours hand at an interval of 63 minutes,Then the time it gains in a day, in minutes, is

Solution

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The actual time taken by minute hand to overtake the hour hand every hour must be = 360/5.5 = 720/11 minutes.
However, the time getting taken in the incorrect clock = 63 minutes.

Thus the time gained every hour = (720/11) - 63 = 27/11 minutes 
Hence, the time gained during the entire day = Just slightly over 56 minutes i.e. option A

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