At noon and midnight the hour and minute hands are exactly coincident with each other. How many other times between noon and midnight do the hour and minute hands cross

The hour and minute hands coincide 11 times in every 12-hour period (approximately every 1 hour and 5.5 minutes). Between noon and midnight, excluding the exact endpoints of noon and midnight, they coincide 10 times - at approximately 1:05, 2:10, 3:16, 4:21, 5:27, 6:32, 7:38, 8:43, 9:49, and 10:54. Option A (8) and C (9) underestimate, while D (11) would be correct only if counting the endpoints.