When $$\left( {\frac{1}{2} - \frac{1}{4} + \frac{1}{5} - \frac{1}{6}} \right)$$    is divided by $$\left( {\frac{2}{5} - \frac{5}{9} + \frac{3}{5} - \frac{7}{{18}}} \right){\text{,}}$$     then the result is = ?

A. $${\text{5}}\frac{1}{{10}}$$

B. $${\text{2}}\frac{1}{{18}}$$

C. $${\text{3}}\frac{1}{6}$$

D. $${\text{3}}\frac{3}{{10}}$$

Answer: Option A

Solution(By Examveda Team)

$$\eqalign{ & {\text{According to the question,}} \cr & \frac{{\frac{1}{2} - \frac{1}{4} + \frac{1}{5} - \frac{1}{6}}}{{\frac{2}{5} - \frac{5}{9} + \frac{3}{5} - \frac{7}{{18}}}} \cr & \Rightarrow \frac{{\frac{{30 - 15 + 12 - 10}}{{60}}}}{{\frac{{36 - 50 + 54 - 35}}{{90}}}} \cr & \Rightarrow \frac{{17}}{{60}} \times \frac{{90}}{5} \cr & \Rightarrow 5\frac{1}{{10}} \cr} $$