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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)

     

    \dpi{100} 10\frac{108}{121}\; minutes

     

  • Option 2)

     

    \dpi{100} 11\frac{115}{121}\; minutes

     

  • Option 3)

     

    11\frac{109}{121}\; minutes

     

  • Option 4)

     

    10\frac{104}{121}\; minutes

     

  • Option 5)

     

    None of these

     

Answers (1)
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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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