Question

Which of the following is true regarding the angle between the clock hands from 2 O' clock to 2:30?

• A. Increases to 90°
• B. Decreases from 90°
• C. Decreases from 60° to 0° and then increases
• D. Decreases from 90° to 0° and then increases

Answer 1

The correct option is C Decreases from 60° to 0° and then increases

Angle travelled by the minute hand in an hour = 360°
Angle between two major divisions on the clock = 360° $÷$ 12
= 30°
At 2 O' clock, the hour hand points towards 2 and the minute hand at 12.
So, the angle between the clock hands at 2 O' clock = 30° $\times$ 2
= 60°
So, the angle between the clock hands first decreases from 60° to 0° and then increases