When simplified the product : ( 2 - 1/3 ) ( 2 - 3/5 ) ( 2 - 5/7 ) ..... ( 2 - 997999 )

Answer: Option A

According to the question,
$$\Rightarrow \left(2-\frac{1}{3}\right)\left(2-\frac{3}{5}\right)\left(2-\frac{5}{7}\right).....$$       $$\left(2-\frac{997}{999}\right)$$
$$\begin{array}{rl}& \Rightarrow \frac{5}{3}\times \frac{7}{5}\times \frac{9}{7}.....\frac{1001}{999}\\ & \Rightarrow \frac{1}{3}\times 1001\\ & \Rightarrow \frac{1001}{3}\end{array}$$