If x is the HCF and y is the LCM of \frac{3}{5}, \frac{6}{25}, \frac{9}{20}, \frac{27}{50}, then which one of the following is correct?

Explanation

x = \text{HCF} = \frac{\text{HCF}(3,6,9,27)}{\text{LCM}(5,25,20,50)} = \frac{3}{100}. y = \text{LCM} = \frac{\text{LCM}(3,6,9,27)}{\text{HCF}(5,25,20,50)} = \frac{27}{5}. Their ratio \frac{y}{x} = \frac{27/5}{3/100} = 180 \implies y = 180x.

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