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1. If HCF of p and q is x and q = xy, then the LCM of p and q is = ?

A. pq

B. qy

C. xy

D. py

Solution:

\begin{aligned} Product of numbers \\ =  HCF \times LCM \\ \Rightarrow p q = x \times LCM \\ \Rightarrow LCM = \frac{p q}{x} \\ = \frac{p (x y)}{x} = p y \end{aligned}

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