How many times do the hour and minute hands coincide between the Monday-evening time on clock A and the same dial time on clock B on Wednesday morning?

Both clocks show 6:30, so 36 hours pass (6:30 p.m. Monday to 6:30 a.m. Wednesday). The hands coincide every $65\frac{5}{11}$ min, i.e. 11 times in 12 h, at 12:00, 1:05, …; in 36 h from 6:30 that is 33 times (6:30 itself is not a meeting time, and none is skipped). (36 assumes one per hour.)