This article is from the Puzzles FAQ, by Chris Cole email@example.com and Matthew Daly firstname.lastname@example.org with numerous contributions by others.
How many times per day do the hour and minute hands of a clock form a
44. Twice each hour equals 48, less one between 2:00 and 4:00 and one between
8:00 and 10:00 for both A.M. and P.M.