Angle Between Hands — Prelims Questions

At what time between 4 and 5 o'clock will the hands of a clock be at right angles for the second time?

How many times in a day do the hands of a clock form an angle of 120°?

If a clock shows 3:15, what is the acute angle between its hands?

At what time between 8 and 9 o'clock are the hands of a clock in the same straight line but not overlapping?

In 12 hours, how many times do the minute and hour hands of a clock form an angle of exactly 30°?