Question

The reflex angle between the hands of a clock at $10:25$ is:

• A. ${180}^o$
• B. ${192\frac{1}{2}}^o$
• C. ${195}^o$
• D. ${197\frac{1}{2}}^o$

Answer 1

The correct option is D ${197\frac{1}{2}}^o$

Angle traced by hour hand in $\frac{125}{12}hrs={(\frac{360}{12}\times \frac{125}{12})}^o={312\frac{1}{2}}^o$
Angle traced by minute hand in $25min={(\frac{360}{60}\times 25)}^o={150}^o$.
$\therefore$ Reflex angle $={360}^o-{(312\frac{1}{2}-150)}^o={360}^o-{162\frac{1}{2}}^o=197\frac{1}{2}$.