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Mathematics · 2025 · 1 mark
CBSE 2025 · Region 6 · Set 3 · Q20
Assertion (A): For two odd prime numbers x and y,(x ≠ y ), LCM (2 x, 4 y )=4 x y Reason (R): LCM (x, y ) is a multiple of HCF (x, y ).
Assertion (A) : For two odd prime numbers $\displaystyle x$ and $\displaystyle \mathrm{y},(x \neq \mathrm{y})$, $\displaystyle \operatorname{LCM}(2 x, 4 \mathrm{y})=4 x \mathrm{y}$
Reason (R) : $\displaystyle \operatorname{LCM}(x, \mathrm{y})$ is a multiple of $\displaystyle \operatorname{HCF}(x, \mathrm{y})$.
Official answer
(B)
Both Assertion (A) and Reason (R) are true, but Reason (R) is not the correct explanation of Assertion (A).
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