A clock is set right at 5 a.m. The clock loses 16 minutes in 24 hours.What will be the exact time when the clock indicates 10 p.m. on 4th day?

Step 1: Determine the actual time the clock loses per hour.

The clock loses 16 minutes in 24 hours. Therefore, it loses 16/24 = 2/3 minutes per hour.

Step 2: Calculate the total hours from 5 a.m. on the first day to 10 p.m. on the fourth day.

From 5 a.m. on the first day to 5 a.m. on the fourth day is 72 hours. From 5 a.m. to 10 p.m. on the fourth day is an additional 17 hours. Therefore, the total time is 72 + 17 = 89 hours.

Step 3: Calculate the total time the clock loses over this period.

The clock loses 2/3 minutes every hour. Therefore, over 89 hours, it loses (2/3) * 89 = 59.33 minutes.

Step 4: Adjust the clock time to account for the time it loses.

The clock indicates 10 p.m. on the fourth day, but it has actually lost almost an hour. Therefore, the actual time is about an hour later, or approximately 11 p.m.