If two positive integers p and q are writte

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Solution

Q.
If two positive integers p and q are written as $p = x^{2} y^{2} a n d 𝑞 = x y^{3}$ , where x and y are prime numbers, then HCF(p, q) is:

1 xy

2 $x y^{2}$

3 $x^{3} y^{3}$

4 $- x^{2} y^{2}$

Ans.
(2)

We have,

$p = x^{2} y^{2} q = x y^{3} \Rightarrow H C F (p, q) = x y^{2}$

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