Question : The value of the following expression $\frac{0.2×0.02×0.002×32}{0.4×0.04×0.004×16}$ is:
Option 1: 0.20
Option 2: 0.50
Option 3: 0.4
Option 4: 0.25
Correct Answer: 0.25
Solution :
Given: $\frac{0.2×0.02×0.002×32}{0.4×0.04×0.004×16}$
= $\frac{\frac{2}{10}×\frac{2}{100} ×\frac{2}{1000}×32}{\frac{4}{10}×\frac{4}{100} ×\frac{4}{1000}×16}$
= $\frac{2×2×2×32×10×100×1000}{4×4×4×16×10×100×1000}$
= $\frac{1}{4}$
= 0.25
Hence, the correct answer is 0.25.
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