32. How many times in a day does the clock’s hand overlap?
We know that we have 24 hours in a day. The hand first overlaps at 12:00, then at 1:05, 2:10, 3.15, 4:20, 5:25, 6:30, 7:35, 8:40, 9:45 and 10:50 two times in a day. There will be no overlap at 11:55 because the hour hand is moving towards 12 while the minute hand is at 11. This sums up the result to 22.
