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A watch which gains 5 seconds in 3 minutes was set right at 7 a.m. In the afternoon of the same day, when the watch indicated quarter past 4 o'clock, the true time is:

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1. 

A watch which gains 5 seconds in 3 minutes was set right at 7 a.m. In the afternoon of the same day, when the watch indicated quarter past 4 o'clock, the true time is:

[A]. 59 7/12 min. past 3
[B]. 4 p.m.
[C]. 58 7/11 min. past 3
[D]. 2 3/11 min. past 4

Answer: Option B

Explanation:

Time from 7 a.m. to 4.15 p.m. = 9 hrs 15 min. = 37 hrs.
4

3 min. 5 sec. of this clock = 3 min. of the correct clock.

37 hrs of this clock = 1 hrs of the correct clock.
720 20
37 hrs of this clock = 1-sym-oparen-h1 1 x 720 x 37 1-sym-cparen-h1 hrs of the correct clock.
4 20 37 4

      = 9 hrs of the correct clock.

 The correct time is 9 hrs after 7 a.m. i.e., 4 p.m.

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