It should be 12 times if you assume that the hour & minute hand line up exactly on top of each other, which would make an angle of zero. Which in a 12 hour period would occur at following times:
Noon or Midnight
1:05
2:10
3:15
4:20
5:25
6:30
7:35
8:40
9:45
10:50
11:55
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