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$MF#%\text{What is the value of }\dfrac{0.1 \times 0.1 \times 0.1 + 0.02 \times 0.02 \times 0.02}{0.4 \times 0.4 \times 0.4 + 0.08 \times 0.08 \times 0.08}$MF#%
Options:
A .  $MF#%\dfrac{1}{64}$MF#%
B .  $MF#%\dfrac{1}{32}$MF#%
C .  $MF#%\dfrac{1}{16}$MF#%
D .  $MF#%\dfrac{1}{8}$MF#%
Answer: Option A

Answer : Option A

Explanation :

$MF#%\begin{align}&\dfrac{0.1 \times 0.1 \times 0.1 + 0.02 \times 0.02 \times 0.02}{0.4 \times 0.4 \times 0.4 + 0.08 \times 0.08 \times 0.08}\\\\
&=\dfrac{0.1 \times 0.1 \times 0.1 + 0.02 \times 0.02 \times 0.02}{(4 \times 4 \times 4)[0.1 \times 0.1 \times 0.1 + 0.02 \times 0.02 \times 0.02]}\\\\
&= \dfrac{1}{(4 \times 4 \times 4)}\\\\
&= \dfrac{1}{64}\end{align} $MF#%



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