The reflex angle between the hands of a clock at 10.25 is:

Answer: Option D

Angle traced by hour hand in $$\frac{125}{12}$$ hrs
$$\begin{array}{rl}& ={\left(\frac{360}{12}\times \frac{125}{12}\right)}^{\circ }\\ & =312{\frac{1}{2}}^{\circ }\end{array}$$
Angle traced by minute hand in 25 min
$$\begin{array}{rl}& ={\left(\frac{360}{60}\times 25\right)}^{\circ }\\ & =150^{\circ }\end{array}$$
$$\begin{array}{rl}& \therefore \text{Reflex angle}\\ & =360^{\circ }-{\left(312\frac{1}{2}-150\right)}^{\circ }\\ & =360^{\circ }-162{\frac{1}{2}}^{\circ }\\ & =197{\frac{1}{2}}^{\circ }\end{array}$$