Question

What is the angle included between the hour hand and the minute hand, if the time shown by the watch is 06:30? Is it acute, obtuse or reflex?

• A. 0º , Acute
• B. 180º, Obtuse
• C. 15º, Acute
• D. 30º, Acute

Answer 1

The correct option is C

15º, Acute

In one hour, minute hand covers ${360}^{\circ }$ and hour hand covers ${30}^{\circ }$. When the minute hand covers ${180}^{\circ }$, hour hand covers ${15}^{\circ }$. So at 6:30, minute hand covers ${180}^{\circ }$ and hour hand covers ${195}^{\circ }$. The angle included between the minute and hour hand at 6:30 is ${15}^{\circ }$.