Question

When the time is 4:20, the angle between the hands of the clock is.

• A. ${20}^o$
• B. ${15}^o$
• C. $12\frac{1^o}{2}$
• D. ${10}^o$

Answer 1

Answer: (D)

${10}^o$

Angle traced minutes hand in 20 minutes = $\frac{20\times 360}{60}={120}^{\circ }$
The hour hand traces half a degree in one minute. Hence, angle traced by hour hand at 4 hour and 20 minutes = $4\times 30+\frac{20}{2}={130}^{\circ }$
Thus, angle between two hands = $130-120={10}^{\circ }$