Multiple choice

The minute hand of a clock overtakes the hour hand at intervals of 63 minutes of the correct time. How much does the clock gain or lose?

  1. 27/11

  2. 540/77

  3. 1440/143

  4. 65/11

  5. 470/77
Reveal answer Fill a bubble to check yourself
B Correct answer
Explanation

It is a correct answer. Solution : In a correct clock, the minute hand gains 55 min, over the hour hand in 60 min. To be together again,the minute hand must gain 60 minutes over the hour hand. 55min are gained in = 720/11 min But they are together after 63 min. Therefore, Gain in 63 min = (720/11)-63 = 27/11 min. Gain in 24 hours = (27/11) * 60 * 24/63 = 540/77 min.

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