How many times does the minute hand of a clock coincide with the second hand between 2-01 pm and 4-01 pm on the same day?

  1. A. 121
  2. B. 120
  3. C. 119
  4. D. None of the above

Correct Answer: D. None of the above

Explanation

The second hand makes 60 revolutions per hour, while the minute hand makes 1. Therefore, the second hand overtakes the minute hand exactly 60 - 1 = 59 times every hour. In the exact 2-hour window between 2:01 PM and 4:01 PM, they will coincide 59 \times 2 = 118 times. Since 118 is not among the numeric options, the answer is 'None of the above'.

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