A clock is set right at 8 a.m. The clock gains 10 minutes in 24 hours will be the true time when the clock indicates 1 p.m. on the following day?

A 48 min. past 12

B 46 min. past 12.

C 45 min. past 12

D 47 min. past 12.

Correct Answer: Option A

Time from 8 a.m. on a day to 1 p.m. on the following day = 29 hours.

24 hours 10 min. of this clock = 24 hours of the correct clock. \(\frac{145}6\) hrs of this clock = 24 hours of the correct clock.

29 hours of this clock = \(24\times\frac6{145}\times29\)hrs of the correct clock

= 28 hrs 48 min of the correct clock.

Therefore, the correct time is 28 hrs 48 min. after 8 a.m.

This is 48 min. past 12.