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Clock - General Aptitude

Q1:

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 min. past 3
12

B 4 p.m.

C
58 7 min. past 3
11

D
2 3 min. past 4
11

ANS:B - 4 p.m.

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 x 720 x 37 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.