If LCM and HCF of two numbers are equal then, both the numbers are same and equal to LCM or HCF.

True

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False

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Solution

The correct option is A
True

$L C M \times H C F = P r o d u c t o f n u m b e r s$

$I f L C M = H C F$ and $l e t H C F = x$

$⟹$ $(x)^{2} = P r o d u c t o f n u m b e r s$

$∵$ The numbers should be greater than or equal to HCF and less than or equal LCM

$⟹$ required number = $x$

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