$$\frac{{{{\left( {0.013} \right)}^3} + 0.000000343}}{{{{\left( {0.013} \right)}^2} - 0.000091 + 0.000049}} = \,?$$

A. 0.002

B. 0.020

C. 0.021

D. 0.023

Answer: Option B

Solution(By Examveda Team)

Given expression :
$$\eqalign{ & \frac{{{{\left( {0.013} \right)}^3} + 0.000000343}}{{{{\left( {0.013} \right)}^2} - 0.000091 + 0.000049}} \cr & a = 0.013 \text{ and } b = 0.007 \cr & = \left( {\frac{{{a^3} + {b^3}}}{{{a^2} - ab + {b^2}}}} \right) \cr & = a + b \cr & = 0.013 + 0.007 \cr & = 0.020 \cr} $$