The time in a clock is 20 minute past 2. Find the angle between the hands of the clock.

Options

A. 60 degrees
B. 120 degrees
C. 45 degrees
D. 50 degrees

Answer

D

Explanation

Time is 2:20. Position of the hands: Hour hand at 2 (nearly).
Minute land at 4
Angle between 2 and 4 is 60 degrees [(360/12) * (4-2)]
Angle made by the hour hand in 20 minutes is 10 degrees, since it tums through `(1)/(2)` degrees in a minute.
Therefore, angle between the lands is 60 degrees - 10 degrees = 50 degrees.