When do the two hands of a clock of just after 3 pm make 30°angel between them?

Answer: Option B

$$\begin{array}{rl}& \frac{{\left(90-30\right)}^{\text{o}}}{5.5}\\ & =\frac{\left(60\times 2\right)}{11}\\ & =10\left(\frac{10}{11}\right)\\ & =10\min 54\sec \\ & \text{Thus},\\ & \text{Required}\text{time}\\ & =3:10:54\end{array}$$