How many times in a day hour hand and minute hand of a clock will coincide?

22 times

The correct answer is Option (2) → 22 times

22 times the hands of a clock coincide in a day.

One might think the hands of a clock coincide every 60 minutes, however, in reality, they coincide every 65 minutes.

Considering this, they coincide 11 times every 12 hours.

This means that the hands of a clock coincide 22 times in a day which consists of 24 hours.