A clock is set right at 10 am. The clock gains 10 minutes in a day. What will be the true time when the watch indicates 3 pm the next day?

The clock gains 10 minutes in a day.

Therefore, the clock gains 10 minutes in 24 hours.

So, from 3 PM the next day to 10 AM the previous day, time passed = 29 hours.

We know that in 24 hours, the clock gains 10 minutes.

So, in 1 hour, the clock will gain 10/24 minutes.

And, in 5 hours, the clock will gain  = 50/24 minutes = 2.08 minutes approx.

Hence, total time gained = 10+2.8 = 12.08 minutes

So, the true time when the watch indicates 3 pm = 3 pm - 12.08 = 2 pm 48 minutes (approx)