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$$\eqalign{
& {\text{The}}\,{\text{value}}\,{\text{of}} \cr
& \frac{{0.1 \times 0.1 \times 0.1 + 0.02 \times 0.02 \times 0.02}}{{0.2 \times 0.2 \times 0.2 + 0.04 \times 0.04 \times 0.04}}\,\text{is}: \cr} $$
Options:
A .  0.0125
B .  0.125
C .  0.25
D .  0.5
Answer: Option B
$$\eqalign{
& {\text{Give}}\,{\text{expression}} \cr
& = \frac{{{{\left( {0.1} \right)}^3} + {{\left( {0.02} \right)}^3}}}{{{2^3}\left[ {{{\left( {0.1} \right)}^3} + {{\left( {0.02} \right)}^3}} \right]}} \cr
& = \frac{1}{8} \cr
& = 0.125 \cr} $$

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