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State PCS PYQPrelims 2022

BPSC – Combined Competitive Examination · Question 81

A clock is set right at exactly 6 a.m. It gains 10 minutes in 24 hours. When it shows 11 a.m. the next day, what is the correct time?

  1. 10:48 a.m.
  2. 10:50 a.m.
  3. 10:54 a.m.
  4. 10:00 a.m.
  5. None of the above / More than one of the above
Show answer & explanation

Answer: (A) 10:48 a.m.

Explanation

The clock runs 1450 minutes for every 1440 true minutes; 1740 clock minutes = 1728 true minutes = 28 h 48 min.

  • (A) Correct

    Correct: 29 clock-hours = 29 × 1440/1450 true hours = 28 h 48 min; 6 a.m. + 28 h 48 min = 10:48 a.m.

  • (B) Incorrect

    Wrong: the gain is proportional, not a flat 10 minutes.

  • (C) Incorrect

    Wrong: miscalculated.

  • (D) Incorrect

    Wrong: far too early.

  • (E) Incorrect

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