$$\frac{10.3 × 10.3 × 10.3 + 1}{10.3 × 10.3 - 10.3 + 1}$$     is equal to :

A. 9.3

B. 10.3

C. 11.3

D. 12.3

Answer: Option C

Solution(By Examveda Team)

Given expression :
$$\eqalign{ & = \frac{{{{\left( {10.3} \right)}^3} + {1^3}}}{{{{\left( {10.3} \right)}^2} - \left( {10.3 \times 1} \right) + {1^2}}} \cr & = \left( {\frac{{{a^3} + {b^3}}}{{{a^2} - ab + {b^2}}}} \right) \cr & = (a + b) \cr & = \left( {10.3 + 1} \right) \cr & = 11.3 \cr} $$