Gaining Clock True Time

CMAT 2025 · Logical Reasoning · Medium · Logical Reasoning

A clock is set right at 11 am. The clock gains 12 minutes in a day. What will be the true time when the watch indicates 5 pm on the next day?

  1. A.

    48 minutes past 3 pm

  2. B.

    45 minutes past 3 pm

  3. C.

    45 minutes past 4 pm

  4. D.

    51 minutes past 4 pm

Answer

C

Explanation

Clock gains 1212 minutes in 2424 hours   ⟹  0.5\implies 0.5 min per hour. From 11 am today to 5 pm next day is 30 indicated hours. Indicated time of 60.560.5 minutes = 6060 minutes of true time. Indicated 3030 hours = 30×6060.5=29.75230 \times \frac{60}{60.5} = 29.752 true hours = 2929 hours 4545 minutes. 11:00 am + 29 hours 45 minutes = 4:45 pm (45 minutes past 4 pm).

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