The value of $$1 - 3 \div 6\,{\text{of }}2 + \left( {4 \div 4\,{\text{of }}\frac{1}{4}} \right) \div 8 + \left( {4 \times 8 \div \frac{1}{4}} \right) \times \frac{1}{8}\,{\text{is:}}$$

A. $$\frac{{69}}{4}$$

B. $$ - \frac{7}{4}$$

C. $$ - \frac{{69}}{4}$$

D. $$\frac{7}{4}$$

Answer: Option A

Solution(By Examveda Team)

$$\eqalign{ & 1 - 3 \div 6\,{\text{of }}2 + \left( {4 \div 4\,{\text{of }}\frac{1}{4}} \right) \div 8 + \left( {4 \times 8 \div \frac{1}{4}} \right) \times \frac{1}{8} \cr & = 1 - \frac{3}{{12}} + \left( {\frac{4}{1}} \right) \times \frac{1}{8} + \frac{{4 \times 8 \times 4}}{8} \cr & = 1 - \frac{1}{4} + \frac{1}{2} + 16 \cr & = \frac{{69}}{4} \cr} $$