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State PCS PYQPrelims 2024

BPSC – Combined Competitive Examination · Question 23

How many times do the hands of a clock coincide in a day?

  1. 23
  2. 12
  3. 24
  4. 22
Show answer & explanation

Answer: (D) 22

Explanation

The minute hand gains 360° on the hour hand every 12/11 hours, so they meet 11 times per 12 hours.

  • (A) Incorrect

    Wrong: they coincide 11 times every 12 hours, so 22 in a day.

  • (B) Incorrect

    Wrong: that is roughly per 12 hours, and even then it is 11.

  • (C) Incorrect

    Wrong: the 11–1 o'clock coincidence is shared, so it is 22.

  • (D) Correct

    Correct: the hands meet 11 times in 12 hours, i.e. 22 times in 24 hours.