How many times a day do the hour hand and minute hand of the clock lie in a straight line?
During the course of a full 24 hour day, the hour and minute
hands of an analog clock lay in a straight line 22 times: 11 times
in the morning and 11 times in the afternoon/evening, as
follows:
12:32AM, 01:38AM, 02:43AM, 03:49AM, 04:54AM, 06:00AM,
07:05AM, 08:10AM, 09:16AM, 10:21AM, 11:27AM
then
12:32PM, 01:38PM, 02:43PM, 03:49PM, 04:54PM, 06:00PM,
07:05PM, 08:10PM, 09:16PM, 10:21PM, 11:27PM