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?9 p.m.0.510:45 p.m.11 p.m.

First, we need to understand that the clock is losing time. It loses 16 minutes every 24 hours.

Step 1: Calculate how much time the clock loses per hour. The clock loses 16 minutes in 24 hours. So, it loses 16/24 = 0.6667 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. There are 3 full days (24 hours * 3 = 72 hours) and 17 hours on the fourth day (from 5 a.m. to 10 p.m.). So, the total hours are 72 + 17 = 89 hours.

Step 3: Calculate the total time the clock loses over this period. The clock loses 0.6667 minutes every hour. So, over 89 hours, it loses 0.6667 * 89 = 59.33 minutes, which is approximately 59 minutes.

Step 4: Adjust the indicated time on the fourth day. The clock indicates 10 p.m. on the fourth day, but it has lost about 59 minutes over this period. So, the actual time is 10 p.m. plus the lost time, which is about 59 minutes.

Therefore, the exact time when the clock indicates 10 p.m. on the fourth day is approximately 10:59 p.m. However, this option is not given in the question. The closest option to the calculated time is 11 p.m. So, 11 p.m. is the answer.