If 2 + aa + 2 + bb + 2 + cc = 4, then the value of ab + bc + caabc is?

Answer: Option D

$$\begin{array}{rl}& \frac{2+a}{a}+\frac{2+b}{b}+\frac{2+c}{c}=4\\ & \Rightarrow \frac{2bc+abc+2ac+abc+2ab+abc}{abc}=4\\ & \Rightarrow \frac{2\left(bc+ab+ca\right)}{abc}+\frac{3abc}{abc}=4\\ & \Rightarrow \frac{2\left(bc+ab+ca\right)}{abc}+3=4\\ & \Rightarrow \boxed{\frac{ab+bc+ca}{abc}=\frac{1}{2}}\end{array}$$