How many times in a day, are the hands of a clock in straight line but opposite in direction?

What would be the smaller of the two angles formed by the hour hand and the minute hand at 3:47 p.m?

A watch shows 6 p.m. where the hour hand points east. In which direction is the minute hand facing when the time is 9.15 p.m?

What fraction of 2 hours is 12 seconds?

Three clocks are designed to alarm in every hour, two hours and three hours respectively. If they all alrmed together three hours before, then after how many hours will they next alarm together?

In a week, how many times are the hands of a clock at right angles with each other?

What will be the acute angle between the hour-hand and the minute -hand at 2:13 p.m?

What is the measure of the smaller of the two angles formed between the hour hand and the minute hand of a clock when it is 5:49 p.m.?

What would be the smaller of the two angles formed by the hour hand and the minute hand at 4:52 p.m?