CBSE 2025 · Region 4 · Set 1 · Q1 · 1 mark
If $\displaystyle x=a b^{3}$ and $\displaystyle y=a^{3} b$, where $\displaystyle a$ and $\displaystyle b$ are prime numbers, then $\displaystyle [\operatorname{HCF}(x, y)-\operatorname{LCM}(x, y)]$ is equal to :
Official answer
From CBSE’s own marking scheme for this paper.
(D)
$\displaystyle a b(1-a b)(1+a b)$
Real NumbersHCF and LCM by Prime FactorisationApplymcqmedium
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CBSE Class 10 Mathematics past-paper question from the 2025board exam, with the answer as CBSE’s own marking scheme gives it. Where our answers come from.