$$\frac{96.54 - 89.63}{96.54 + 89.63}$$   ÷ $$\frac{965.4 - 896.3}{9.654 + 8.963}$$   = ?

A. 10^{- 2}

B. 10^{- 1}

C. 10

D. None of these

Answer: Option A

Solution(By Examveda Team)

Given expression :
= $$\frac{(96.54 - 89.63)}{(96.54 + 89.63)}$$   × $$\frac{(9.654 + 8.963)}{(965.4 - 896.3)}$$
= $$\frac{(96.54 - 89.63)}{(965.4 - 896.3)}$$   × $$\frac{(9.654 + 8.963)}{(96.54 + 89.63)}$$
= $$\frac{(96.54 - 89.63)}{10 (96.54 - 89.63)}$$   × $$\frac{(96.54 + 89.63)}{10 (96.54 + 89.63)}$$
= $$\frac{1}{10}$$ × $$\frac{1}{10}$$
= $$\frac{1}{100}$$
= $$\frac{1}{{{{10}^2}}}$$
= 10 ^-2