Find the value of * in the following. 12/3 ÷ 2/7 × */7 = 11/4 × 2/3 ÷ 1/6

Answer: Option D

$$\begin{array}{rl}& \text{Let,}\\ & \frac{5}{3}÷\frac{2}{7}\times \frac{x}{7}=\frac{5}{4}\times \frac{2}{3}÷\frac{1}{6}\\ & \text{Then,}\\ & \frac{5}{3}\times \frac{7}{2}\times \frac{x}{7}=\frac{5}{4}\times \frac{2}{3}\times 6\\ & \iff \frac{5}{6}x=5\\ & \iff x=\left(\frac{5\times 6}{5}\right)\\ & \iff x=6\end{array}$$