A clock has 60 lines on it; one at each minute interval. Everyone knows that the hour and minute hands point to the same line at 12:00. Can you figure out what time it is for these situations?

The hour hand is exactly on one line, and the minute hand is exactly on the NEXT line.

The hour hand is exactly on one line, and the minute hand is exactly on the PREVIOUS line.

I noticed that in my big wall clock, there is a time when the minute and hour clock are exactly between one and two. Also I notice both hands lie on top of each other.