The hands of a clock coincide 11 times in every 12 hours (Between 11 and 1, they coincide only once, at 12 oclock).

12:00 am

1:05 am

2:11 am

3:16 am

4:22 am

5:27 am

6:33 am

7:38 am

8:44 am

9:49 am

10:55 am

12:00 pm

1:05 pm

2:11 pm

3:16 pm

4:22 pm

5:27 pm

6:33 pm

7:38 pm

8:44 pm

9:49 pm

10:55 pm

Hence the hands coincide 22 times in a day.