The value of $$\left( {\frac{{0.943 \times 0.943 - 0.943 \times 0.057 + 0.057 \times 0.057}}{{0.943 \times 0.943 \times 0.943 + 0.057 \times 0.057 \times 0.057}}} \right)$$         is :

A. 0.32

B. 0.886

C. 1.1286

D. None of these

Answer: Option D

Solution(By Examveda Team)

Given expression :
$$\eqalign{ & = \frac{{{{\left( {0.943} \right)}^2} - \left( {0.943 \times 0.057} \right) + {{\left( {0.057} \right)}^2}}}{{{{\left( {0.943} \right)}^3} + {{\left( {0.057} \right)}^3}}} \cr & = \frac{{{a^2} - ab + {b^2}}}{{{a^3} + {b^3}}} \cr & = \frac{1}{{a + b}} \cr & = \frac{1}{{0.943 + 0.057}} \cr & = 1 \cr} $$