Question 01.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
(a) 59 7/12 min. past 3
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B
(b) 4 p.m.
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C
(c) 58 7/11 min. past 3
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D
(d) 2 3/11 min. past 4
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Solution
The correct option is B
(b) 4 p.m.
Answer 01. (b) Explanation: Time from 7 a.m. to 4.15 p.m. = 9 hrs 15 min. = 37/4 hrs.
3 min. 5 sec. of this clock = 3 min. of the correct clock. 37/720 hrs of this clock = 1/20 hrs of the correct clock.
37/4 hrs of this clock = 1/20*720/37*37/4 hrs of the correct clock.
= 9 hrs of the correct clock. The correct time is 9 hrs after 7 a.m. i.e., 4 p.m.