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Question

A watch which gains 6 seconds in 4 minutes was set right at 8 a.m. In the evening of the same day, when the watch indicated quarter past 6 o'clock, the true time is:


A

357/8 min. past 5 p.m.

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B

6 p.m.

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C

645/11 min. past 5 p.m.

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D

25/11 min. past 5 p.m.

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Solution

The correct option is B

6 p.m.


Time from 8 a.m. to 6.15 p.m = 10 hr 15 min = (41/4) hr

4 min 6 sec of this clock = 4 min of the correct clock

(41/4) hrs of the clock = 4 x (600/41)x(41/4) min of the correct clock

= 6000 min = 10 hrs of the correct clock

The correct time is 10 hrs after 8 a.m. i.e. 6 p.m.


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