The value of $$3\frac{1}{3} \div 2\frac{1}{2}{\text{ of }}1\frac{3}{5} + \left( {\frac{3}{8} + \frac{1}{7} \times 1\frac{3}{4}} \right)$$      is:

A. $$\frac{{55}}{{24}}$$

B. $$\frac{{35}}{{24}}$$

C. $$\frac{{25}}{{24}}$$

D. $$\frac{5}{{24}}$$

Answer: Option B

Solution(By Examveda Team)

$$\eqalign{ & 3\frac{1}{3} \div 2\frac{1}{2}{\text{ of }}1\frac{3}{5} + \left( {\frac{3}{8} + \frac{1}{7} \times 1\frac{3}{4}} \right) \cr & = \frac{{10}}{3} \div \frac{5}{2} \times \frac{8}{5} + \left( {\frac{3}{8} + \frac{1}{7} \times \frac{7}{4}} \right) \cr & = \frac{{10}}{3} \times \frac{1}{4} + \frac{5}{8} \cr & = \frac{5}{6} + \frac{5}{8} \cr & = \frac{{35}}{{24}} \cr} $$