CBSE 2025 · Region 6 · Set 2 · Q19 · 1 mark
Assertion (A) : For two prime numbers $\displaystyle x$ and $\displaystyle \mathrm{y}(x<\mathrm{y}), \operatorname{HCF}(x, \mathrm{y})=x$ and $\displaystyle \operatorname{LCM}(x, \mathrm{y})=\mathrm{y}$.
Reason (R) : $\displaystyle \operatorname{HCF}(x, \mathrm{y}) \leq \operatorname{LCM}(x, \mathrm{y})$, where $\displaystyle x$, y are any two natural numbers.
Official answer
From CBSE’s own marking scheme for this paper.
(D)
Assertion (A) is false, but Reason (R) is true.
Real NumbersHCF and LCM by Prime FactorisationUnderstandassertion_reasoneasy
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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.