Clock Problems

How many times in a day are the hands of a clock pointing opposite to each other?

How many times from 4 pm to 10 pm , the hands of a clock are at right angle?

Find the angle traced by hour hand of a correct clock between 8 O'  clock and 2 O'  clock.

What will be the angle between hour hand and minute hand , if clock shows 8:30 pm?

At half past 5 in the evening the smaller angle between the hour and minute hands of  a clock is 

The angle between the hour hand and the minute hand of a clock when the time is 3:25 will be:

A clock was set correctly at 12 o’clock. It loses some minutes per hour. What will be the angle between the hour and minute hands of the clock after one hour?

At what time (in minutes) between 3 O'clock and 4 O'clock, both the needles will coincide with each other?

At what time between 5 and 6, are the hands of a clock coincides?

 At what time between 4 and 5 O'clock, will the hands of a watch point in opposite directions?