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State PCS PYQPrelims 2022

BPSC – Combined Competitive Examination · Question 82

At what time between 5 and 6 o'clock will the two hands of a clock coincide?

  1. 27 minutes past 5
  2. 27 3/11 minutes past 5
  3. 28 minutes past 5
  4. 26 minutes past 5
  5. None of the above / More than one of the above
Show answer & explanation

Answer: (B) 27 3/11 minutes past 5

Explanation

Hands coincide at 60h/11 minutes past h o'clock; for h = 5, that is 300/11 = 27 3/11 minutes.

  • (A) Incorrect

    Wrong: the exact time is 27 3/11 minutes past 5.

  • (B) Correct

    Correct: the hands coincide at (60/11) × 5 = 27 3/11 minutes past 5.

  • (C) Incorrect

    Wrong: too late.

  • (D) Incorrect

    Wrong: too early.

  • (E) Incorrect

    Wrong: only one of the options A–D is correct.