Q. How many times do the hands of a clock coincide in a day?

Explanation:

The hands of a clock coincide 11 times in every 12 hours (Since between 11 and 1, they coincide only once, i.e., at 12 o'clock).

The hands overlap about every 65 minutes, not every 60 minutes.
Therefore, The hands coincide 22 times in a day.