A computer simulation of a 12 hour analog clock keeps perfect time…

A computer simulation of a 12 hour analog clock keeps perfect time while it is running, and has two hands—an hour hand and a minute hand—both of which move continuously around the 12 hour dial. (For example, at 2:30, the hour hand will be exactly halfway between 2 and 3.) Because of careless programming, the minute hand looks exactly like the hour hand, so that the two are indistinguishable. On one day, the clock stops at some time after 12am and before 12pm. How many times could it have stopped without it being possible after 12pm to tell what time it stopped?

AQuA-RAT — Algebra Question Answering with Rationales (Ling et al., DeepMind, 2017) · train #29454