If 1 + x961 = 3231 , then the value of x is?

Answer: Option A

$$\begin{array}{rl}& \sqrt{1+\frac{x}{961}}=\frac{32}{31}\\ & \left(\text{Squaring both sides}\right)\\ & \Rightarrow 1+\frac{x}{961}=\frac{1024}{961}\\ & \Rightarrow \frac{961+x}{961}=\frac{1024}{961}\\ & \Rightarrow x=1024-961\\ & \Rightarrow x=63\end{array}$$