A number divided by 52 gives remainder 45. If the number divided by 13 , the remainder will be :

Answer: Option B

Since 13 is factor of 52. So divide its remainder directly by 13.
$$\begin{array}{rl}& \Rightarrow \frac{\text{remainder}}{13}=\frac{45}{13}\\ & \Rightarrow \text{remainder }=6\end{array}$$