Answer Posted / tapas nayak

It is 22 times..

In order to avoid dis ambiguity, let the day starts at 1:00 am.
Now from 1:00 am to 11:00 am, the minute hand crosses the
hour hand 10 times.

Now 11:00 am to 1:00 pm, it crosses only once ( at the
instance 12:00 pm). So it is 11 times for 12 hr period. Now
for 24 hr period, i.e., till 1:00 am of another day it is
2*11=22 times

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