The value of $$\frac{{33}}{{40}} + \frac{1}{5}\left[ {\frac{4}{5} - \frac{1}{5} \times \left( {\frac{7}{8} - \frac{5}{4}} \right)} \right]$$      is:

Solution (By Examveda Team)

$$\eqalign{ & \frac{{33}}{{40}} + \frac{1}{5}\left[ {\frac{4}{5} - \frac{1}{5} \times \left( {\frac{7}{8} - \frac{5}{4}} \right)} \right] \cr & = \frac{{33}}{{40}} + \frac{1}{5}\left[ {\frac{4}{5} - \frac{1}{5} \times \left( {\frac{{7 - 10}}{8}} \right)} \right] \cr & = \frac{{33}}{{40}} + \frac{1}{5}\left[ {\frac{4}{5} + \frac{1}{5} \times \frac{3}{8}} \right] \cr & = \frac{{33}}{{40}} + \frac{1}{5}\left[ {\frac{4}{5} + \frac{3}{{40}}} \right] \cr & = \frac{{33}}{{40}} + \frac{1}{5}\left[ {\frac{{32 + 3}}{{40}}} \right] \cr & = \frac{{33}}{{40}} + \frac{7}{{40}} \cr & = \frac{{40}}{{40}} \cr & = 1 \cr} $$