Question

When the clock shows time 25 minutes past 2, the angle between the hands is.

• A. ${75}^o$
• B. $67{\frac{1}{2}}^o$
• C. $77{\frac{1}{2}}^o$
• D. ${65}^o$

Answer 1

The correct option is C $77{\frac{1}{2}}^o$

Angle traced minutes hand in 25 minutes = $\frac{25\times 360}{60}={150}^{\circ }$
The hour hand traces half a degree in one minute. Hence, angle traced by hour hand at 2 hour and 25 minutes = $2\times 30+\frac{25}{2}={72.5}^{\circ }$
Thus, angle between two hands = $150-72.5={77.5}^{\circ }$