A clock is set right at 8 a.m. the clock uniformly loses 24 minutes in a day. What will be the right time when the clock indicates 4 pm on the next day ?

Options

A. 4.50 pm
B. 4.30 pm
C. 4.50 am
D. 4.32 am

Answer

B

Explanation

According to the question,
Total time from 8 am of a particular day to 4 pm on the next day = 32 hours.
`therefore` The clock loses 24 minutes in 24 hours
So, 23 hours 36 minutes of this clock = 24 hours of the correct clock.

or, `23"36/60" i.e. "23""3/5`
or, `(23+3/5)` of this clock = 24 hours of the correct clock.
or, `118/5` of this clock = 24 hours of the correct clock.
So, 32 hours of this clock `=((32 times 5 times 24)/118)` hours of the correct clock.
`" "`= 32 hours 30 minutes approximately.
Therefore, the right time is 32 hours 30 minutes (approx.) after 8 am = 4 hours 30 minutes = 4.30 pm.