Question

A clock is set right at 5 a.m. The clock looses 16 minutes in 24 hours. What will be the correct time when the clock indicates 10 p.m. on the fourth day?
1. 11 p.m.
2. 10:45 p.m.
3. 11:15 p.m.
4. 12 p.m.

Answer 1

Correct Answer - Option 1 : 11 p.m.

Time from 5 am of a particular day to 10 pm on the 4th day is 89 hours.

now the clock loses 16 min in 24 hours or in other words, we can say that 23 hours 44 min of this clock is 24 hours of the correct clock or (23 + 44/60) = 356/15 hours of this clock = 24 hours of the correct clock.

therefore 89 hours of this clock = ((24×15)/356)×89 hours of correct clock = 90 hours of the correct clock.

therefore it is clear that in 90 hours this clock loses 1 hour and hence the correct time is 11 pm when the clock shows 10 pm.

Hence, '11p.m' is the correct answer .