1.
How many times do the hands of a clock coincide in a day?
2.
How many times are the hands of a clock at right angles in a day?
3.
How much does a watch lose per day, if its hands coincide every 64 minutes?
4.
How many times in a day the hands of a clock are straight?
5.
At what time between 4 & 5 will the hands of a watch point in opposite directions?
Answer: Option 'C'
At 4 o'clock, the hands of the watch are 20 min. spaces apart.
To be in opposite directions, they must be 30min. spaces apart.
Minute hand will have to gain 5 min. spaces.
55min spaces are gained in 60 min.
5 min. spaces are gained in (60/55 × 50) min. or 54 6/11 min.
Required time = 54 6/11 min. past 4.
6.
At what time between 9&10 will the hands of a watch be together?
7.
At what time between 5.30 & 6 will the hands of a watch be at right angle?
8.
At what time between 7 & 8 o'clock will the hands of a watch be in the straight line but no together?
Answer: Option 'B'
When the hands of the clock are in the same straight line but not
togerther, they are 30 minute spaces apart.
At 7 o'clock, they are 25min. spaces apart.
Minute hand will have to gain only 5 min.
space 55 min. spaces are gained in 60min.
5min. spaces are gained in ( 60/55 × 5) min = 5 5/11 min.
Required time = 5 5/11 min. past 7.
9.
An accurate clock shows 8 o'clock in the morning. Through how many degrees will the hour hand rotate when the clock shows 2 o'clock in the afternoon?
10.
How much watch gain or lose per day, If its hands coincide every 64 min’s?