Question

The angles between the hands of a clock when the time is 4:25 am is:

• A. 14½ degrees
• B. 12½ degrees
• C. 17½ degrees
• D. 13½ degrees

Hint:

To calculate the angle between clock hands, remember that the hour hand moves \( 30^\circ \) every hour and the minute hand moves \( 6^\circ \) every minute.

Answer 1

The Correct Option is C

At 4:25, the minute hand is on the 5, and the hour hand is between 4 and 5. The minute hand covers 360 degrees in 60 minutes, so each minute corresponds to \( 6^\circ \) (since \( 360^\circ / 60 \)). After 25 minutes, the minute hand covers \( 25 \times 6 = 150^\circ \).
The hour hand moves \( 30^\circ \) for every hour. So, in 25 minutes, the hour hand moves \( \frac{25}{60} \times 30^\circ = 12.5^\circ \). The angle between the two hands is the difference between the positions of the minute hand and the hour hand. Thus: \[ \text{Angle} = 150^\circ - 12.5^\circ = 17.5^\circ \]