Question

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. 4 p.m.
• B. $59\frac{7}{12}$ minutes past 3
• C. $58\frac{7}{11}$ minutes past 3
• D. $2\frac{3}{11}$ minutes past 4

Answer 1

The correct option is A 4 p.m.

Time from 7 a.m. to quarter pas 4
= 9 hours 15 min. = 555 min.
Now, 37123712 min. of this watch = 3 min. of the correct watch.
555 min. of this watch = (3×1237×555)min(3×1237×555)min
= (3×1237×55560)(3×1237×55560) hrs. = 9 hrs. of the correct watch.
Correct time is 9 hours after 7 a.m. i.e., 4 p.m