The value of $$\left[ {35.7 - \left( {3 + \frac{1}{{3 + \frac{1}{3}}}} \right) - \left( {2 + \frac{1}{{2 + \frac{1}{2}}}} \right)} \right]$$       is :

A. 30

B. 34.8

C. 36.6

D. 41.4

Answer: Option A

Solution(By Examveda Team)

Given expression :
$$\eqalign{ & = 35.7 - \left( {3 + \frac{1}{{\frac{{10}}{3}}}} \right) - \left( {2 + \frac{1}{{\frac{5}{2}}}} \right) \cr & = 35.7 - \left( {3 + \frac{3}{{10}}} \right) - \left( {2 + \frac{2}{5}} \right) \cr & = 35.7 - \frac{{33}}{{10}} - \frac{{12}}{5} \cr & = 35.7 - \left( {\frac{{33}}{{10}} + \frac{{12}}{5}} \right) \cr & = 35.7 - \frac{{57}}{{10}} \cr & = 35.7 - 5.7 \cr & = 30 \cr} $$