The value of ( 1 + 1/x ) ( 1 + 1x + 1 ) ( 1 + 1x + 2 ) ( 1 + 1x + 3 ) is?

Answer: Option D

$$\left(\text{1 + }\frac{1}{x}\right)$$ $$\left(\text{1 + }\frac{1}{x+1}\right)$$  $$\left(\text{1 + }\frac{1}{x+2}\right)$$  $$\left(\text{1 + }\frac{1}{x+3}\right)$$
Taking L.C.M of each term
$$\Rightarrow \left(\frac{x+1}{x}\right)$$ $$\left(\frac{x+1+1}{x+1}\right)$$  $$\left(\frac{x+2+1}{x+2}\right)$$  $$\left(\frac{x+3+1}{x+3}\right)$$
$$\begin{array}{rl}& \Rightarrow \frac{1}{x}\times \left(x+4\right)\\ & \Rightarrow \frac{x+4}{x}\end{array}$$