Clocks with Explanation

Q1. Find the angle between the hour hand and minute hand of a clock when the time is 05:30?

Q2. What is the reflex angle between the minute hand and hour hand at 08:45?

Q3. At 10:40, the angle between hour hand and minute hand is

Q4. What is the angle formed by the minute hand and hour hand at 09:25?

Q5. At what time between 2 and 3 o'clock will the hands of a clock in opposite directions?

A. 43 min. past 2	B. 43 min. past 2
C. 43 min. past 2	D. 43 min. past 2

Answer- Option B

Explanation-

At 2 o'clock, the hour hand is at 2 and the minute hand is at 12, i.e. the two hands are 10 min spaces apart
To be in the same straight line in opposite direction, they will be 30 minute spaces apart.
So, the minute hand will have to gain 40 minute spaces over the hour hand
55 minute spaces are gained in 60 min
40 minute spaces will be gained in

60 55

x40

= 43

7 11

Required time = 43

7 11

min. past 2

Q6. What is the time between 11 and 12 o'clock when the minute hand and hour hand are in the straight line but opposite direction?

A. 27 min. past 11	B. 27 min. past 11
C. 27 min. past 11	D. 27 min. past 11

Answer- Option C

Explanation-

At 11 o'clock, the hour hand is at 11 and the minute hand is at 12, i.e. the two hands are 5 min spaces apart
To be in the same straight line in opposite direction, they will be 25 minute spaces apart.
So, the minute hand will have to gain 25 minute spaces over the hour hand
55 minute spaces are gained in 60 min
25 minute spaces will be gained in

60 55

x25

= 27

3 11

Required time = 27

3 11

min. past 11

Q7. A faulty clock gains 6 seconds in 10 minutes, and it is set right at 9 AM. What is the correct time when the clock is at 11 PM?