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Gaining Clock Correct Time

CMAT 2024 · Logical Reasoning · Medium · Clocks

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A watch which gains uniformly is 2 minutes slow at 10:00 AM on Monday and is 2122\frac{1}{2} minutes fast at 1:00 PM the following day. When did it show the correct time ?

  1. A.

    10:30 PM Tuesday

  2. B.

    10:30 PM Monday

  3. C.

    10:45 PM Monday

  4. D.

    10:00 PM Monday

Answer

D

Explanation

Time interval from 10:00 AM Monday to 1:00 PM Tuesday = 27 hours. Total gain = 2+2.5=4.52 + 2.5 = 4.5 minutes. Time required to gain 2 minutes (to correct the initial 2 min delay): Hours=274.5×2=6×2=12\text{Hours} = \frac{27}{4.5} \times 2 = 6 \times 2 = 12 hours. 12 hours after 10:00 AM Monday is 10:00 PM Monday.

Hence, Option D is correct.

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