The value of $$\frac{{48.3 \times \left[ {{{\left( {4.95} \right)}^2} + 4.95 \times 13.25} \right]}}{{\left[ {{{\left( {12.55} \right)}^2} - {{\left( {5.65} \right)}^2}} \right] \times 19.8}} = ?$$

A. 17.5

B. 0.175

C. 1.75

D. 175

Answer: Option C

Solution(By Examveda Team)

$$\eqalign{ & \frac{{48.3 \times \left[ {{{\left( {4.95} \right)}^2} + 4.95 \times 13.25} \right]}}{{\left[ {{{\left( {12.55} \right)}^2} - {{\left( {5.65} \right)}^2}} \right] \times 19.8}} \cr & = \frac{{48.3 \times 4.95\left[ {4.95 + 13.25} \right]}}{{\left( {12.55 + 5.65} \right)\left( {12.55 - 5.65} \right) \times 19.8}} \cr & = \frac{{48.3 \times 4.95 \times 18.2}}{{18.2 \times 6.9 \times 19.8}} \cr & = \frac{7}{4} \cr & = 1.75 \cr} $$