Question

$\frac{0.1\times 0.1\times 0.1+0.02\times 0.02\times 0.02}{0.2\times 0.2\times 0.2+0.04\times 0.04\times 0.04}$ is equal to

• A. $0.125$
• B. $0.0125$
• C. $0.25$
• D. $0.5$

Answer 1

Answer: (A)

$\frac{0.1\times 0.1\times 0.1+0.02\times 0.02\times 0.02}{0.2\times 0.2\times 0.2+0.04\times 0.04\times 0.04}$

$=\frac{0.1\times 0.1\times 0.1+0.02\times 0.02\times 0.02}{8(0.1\times 0.1\times 0.1)+8(0.02\times 0.02\times 0.02)}$

$=\frac{1}{8}\left(\frac{0.1\times 0.1\times 0.1+0.02\times 0.02\times 0.02}{0.1\times 0.1\times 0.1+0.02\times 0.02\times 0.02}\right)$

$=\frac{1}{8}=0.125$