If W1 : W2 = 2 : 3 and W1 : W3 = 1 : 2, then W2 : W3 is -

Answer: Option A

$$\begin{array}{rl}& =\frac{{\text{W}}_{\text{2}}}{{\text{W}}_{\text{1}}}=\frac{3}{2}\text{and}\frac{{\text{W}}_{\text{1}}}{{\text{W}}_{\text{3}}}=\frac{1}{2}\\ & \Rightarrow \frac{W_2}{W_3}=\left(\frac{{\text{W}}_{\text{2}}}{{\text{W}}_{\text{1}}}\times \frac{{\text{W}}_{\text{1}}}{{\text{W}}_{\text{3}}}\right)\\ & =\frac{3}{2}\times \frac{1}{2}=\frac{3}{4}\\ & \Rightarrow W_2:W_3=3:4\end{array}$$