Question

The angle between the minute hand and the hour hand of a clock when the time is 04:20, is

• A. $0^{\circ }$
• B. ${10}^{\circ }$
• C. $5^{\circ }$
• D. ${20}^{\circ }$

Answer 1

The correct option is B

${10}^{\circ }$

Angle traced by hour hand in $\frac{13}{3}$hours $={[\frac{360}{12}\times \frac{13}{3}]}^{\circ }={130}^{\circ }$
Angle traced by minute hand in 20 minutes ${[\frac{360}{60}\times 20]}^{\circ }={120}^{\circ }$
$\therefore$ Required angle = $(130-120{)}^{\circ }={10}^{\circ }$