Q

# The minute-hand of a clock overtakes the hour-hand at intervals of 66 minutes of the correct time.

The minute-hand of a clock overtakes the hour-hand at intervals of 65 minutes of the correct time. How much in a day does the clock gain or lose?

• Option 1)

• Option 2)

• Option 3)

• Option 4)

• Option 5)

None of these

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For these kinds of problems, there is a direct formula

720/(11 - M) (24 x60/M) = Minutes

Where m = intervals of n minutes of the correct time,

$(\frac{720}{11}-65)(\frac{24*60}{65}) => \frac{1440}{143}$

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