Question

Select the correct alternative from the given choices.

A clock is set to show the correct time at 10 a.m. The clock uniformly loses 12 min in a day. What will be the actual time when the clock shows 5 p.m. on the next day?

• A. 4:25 p.m.
• B. 4:45 p.m.
• C. 5:15 p.m.
• D. 4:50 p.m.

Answer 1

The correct option is C 5:15 p.m.

Time from 10:00 a.m. a day to 5:00 p.m. the next day $=31hours$
23 hours 48 minutes of this clock $=$ 24 hours of the correct clock.
$23\frac{4}{5}=\frac{119}{5}$ of this clock $=$ 24 hours of the correct clock
31 hours of this clock $=\frac{31\times 119}{24\times 5}$
$=31hrs15min(Approx.)$
The correct time is 31 hours 15 minutes after 10:00 a.m.
$=$ 5 hours 15 minutes.