Question : The value of $\frac{0.7× 0.7× 0.7+0.3 × 0.3 × 0.3}{0.7 × 0.7-0.7× 0.3+0.3 × 0.3}$ is_____.
Option 1: 2
Option 2: 1
Option 3: 3
Option 4: – 1
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Correct Answer: 1
Solution :
$\frac{0.7× 0.7× 0.7+0.3 × 0.3 × 0.3}{0.7 × 0.7-0.7× 0.3+0.3 × 0.3}$
= $\frac{(0.7)^3+(0.3)^3}{(0.7)^2-0.7× 0.3+(0.3)^2}$
= $\frac{(0.7+0.3)((0.7)^2-0.7× 0.3+(0.3)^2)}{(0.7)^2-0.7× 0.3+(0.3)^2}$
= $0.7+0.3$
= $1$
Hence, the correct answer is $1$.
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