Sergeant Hill is a numerophiliac; he loves numbers. He wants to figure out how many times his digital watch shows the same number in all places (not including seconds). He starts noting this at just after midnight. How many instances like this occur in a 24-hour period?

Answer
3 times
Sergeant Hill is in the military; his watch is likely set for military time. The three times are:
11:11
22:22 (10:22)
00:00 (midnight)