The hands of a clock coincide 11 times in every 12 hours(Since between 11 and 1 they coincide only once,i.e at 12 o clock).therefore the hands of the clock coincide 22 times a day.
The clock will tick at 00:00 and then at between 1-2 between 2-3, 3-4, 4-5, 5-6, 6-7, 7-8, 8-9, 9-10, 10-11, 12 PM then 1-2, 2-3, 3-4, 4-5, 5-6, 6-7, 7-8, 8-9, 9-10, 10-11, and between...
22 is the correct answer.Because the clock will tick at 12 and at between 1-2,bet 2-3, 3-4, 4-5, 5-6, 6-7, 7-8, 8-9, 9-10, 10-11, 12, 1-2,2-3, 3-4, 4-5, 5-6, 6-7, 7-8, 8-9, 9-10, 10-11, 12