Question

A clock is set right at 6 a.m. The clock loses 16 minutes in 24 hours. What will be the true time when the clock indicates 10 p.m. on 4th day?

• A. 11
• B. 8
• C. 10
• D. 9
• E.

Hint:

For clocks losing or gaining time, calculate the total time lost or gained and adjust accordingly.

Answer 1

The Correct Option is A

Step 1: The clock loses 16 minutes over a span of 24 hours. Step 2: In a total of 4 days (which equals 96 hours), the amount of time lost by the clock is: \[ \frac{16 \times 96}{24} = 64 \, \text{minutes}. \] Step 3: By 10 p.m. on the 4th day, the time displayed on the clock will be 64 minutes behind the actual time. Thus, the correct time should be: \[ 10 \, \text{p.m.} + 64 \, \text{minutes} = 11:04 \, \text{p.m.}. \] Hence, the actual time is 11:04 p.m..