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

$180^\circ$

$192\dfrac{1}{2}^\circ$

$195^\circ$

$197\dfrac{1}{2}^\circ$

Explanation:

Angle traced by hour hand in$ \dfrac{125}{12} $hrs =$\left(\dfrac{360}{12} \times \dfrac{125}{12}\right)^\circ$= 312$ \dfrac{1}{2}^\circ$.

Angle traced by minute hand in 25 min =$ \left(\dfrac{360}{60} \times 25\right)^\circ $= 150$^\circ$.

$\therefore$ Reflex $\times$ angle = $360^\circ$ -$ \left(312\dfrac{1}{2} - 150\right)^\circ$= 360$^\circ$ - 162$ \dfrac{1}{2}^\circ $= 197$ \dfrac{1}{2} $.