The value of :
$$\left( {\frac{{0.051 \times 0.051 \times 0.051 + 0.041 \times 0.041 \times 0.041}}{{0.051 \times 0.051 - 0.051 \times 0.041 + 0.041 \times 0.041}}} \right)$$

A. 0.00092

B. 0.0092

C. 0.092

D. 0.92

Answer: Option C

Solution(By Examveda Team)

Given expression :
$$ = \frac{{{{\left( {0.051} \right)}^3} + {{\left( {0.041} \right)}^3}}}{{{{\left( {0.051} \right)}^2} - \left( {0.051 \times 0.041} \right) + {{\left( {0.041} \right)}^2}}}$$
Let 0.051 = $$a$$ and 0.041 = $$b$$
$$\eqalign{ & = \left( {\frac{{{a^3} + {b^3}}}{{{a^2} - ab + {b^2}}}} \right) \cr & = (a + b) \cr & = \left( {0.051 + 0.041} \right) \cr & = 0.092 \cr} $$