The angle between the hands of a clock when the time is 4 : 25 am is = ?

Answer: Option B

Let angle between the hands of clock be x
When the time is 4 : 25 am
Where [M = minutes and H = hours]
Required angle
$$\begin{array}{rl}& =\text{30}\left(\frac{\text{M}}{5}-\text{H}\right)-\frac{\text{M}}{2}\\ & =30\left(\frac{25}{5}-4\right)-\frac{25}{2}\\ & =30\left(\frac{25-20}{5}\right)-\frac{25}{2}\\ & =30\left(\frac{5}{5}\right)-\frac{25}{2}\\ & =30-\frac{25}{2}\\ & =\frac{60-25}{2}\\ & =\frac{35}{2}\\ & =17{\frac{1}{2}}^{°}\end{array}$$