The value of 2/3 × 35/6 ÷ 2/3 of 11/4 = ?

Answer: Option A

$$\begin{array}{rl}& \text{According to question,}\\ & \frac{2}{3}\times \frac{3}{\frac{5}{6}÷\frac{2}{3}\text{of 1}\frac{1}{4}}\\ & \Rightarrow \frac{2}{3}\times \frac{3}{\frac{5}{6}÷\left(\frac{2}{3}\times \frac{5}{4}\right)}\\ & \Rightarrow \frac{2}{3}\times \frac{3}{\frac{5}{6}÷\frac{5}{6}}\\ & \Rightarrow \frac{2}{3}\times \frac{3}{1}\\ & \Rightarrow 2\end{array}$$