How many times are the two hands in one straight line, strictly between the Tuesday-morning time on clock A and the same dial time on Wednesday evening (clock B)?

Both clocks show 6:00, and from 6:00 a.m. Tuesday to 6:00 p.m. Wednesday is 36 hours. The hands are in a straight line every 360/11 min, i.e. 44 times a day, so $36\times 44/24=66$ times per 36 hours counted one end in. Both ends are 6:00, where the hands ARE in a line, so strictly between there are 66 − 1 = 65. (72 counts two per hour; 33 counts only overlaps.)