Question

The angle between the minute hand and the hour hand of a clock when the time is 4.20, is ( A ) 10 ( B ) 20 ( C ) 5 ( D ) 0

Answer 1

Answer:

Angle between Hands of a clock

When the minute hand is behind the hour hand,  

the angle between the two hands at M minutes past H'o clock 30(H−(M/5))+[M/2]degree  

When the minute hand is ahead of the hour hand,

the angle between the two hands at M minutes past H'o clock  

=30((M/5)−H)−[M/2] degree Here H = 4, M = 40  

the minute hand is ahead of the hour hand.  

Hence the angle 30((M/5)−H)−[M/2]  

=30((40/5)−4)−[40/2]  

=30(8−4)−20 =30⋅4−20=100°

4.20 - 4.40 = 20

Option B is the answer.