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For any two positive integers $a$ and $b$, which relation is always true?
A$\text{HCF}(a,b)+\text{LCM}(a,b)=a+b$
B$\text{HCF}(a,b)\times \text{LCM}(a,b)=a\times b$
C$\text{HCF}(a,b)=a\times b$
D$\text{LCM}(a,b)=a+b$
Answer & Solution
Correct answer: B. $\text{HCF}(a,b)\times \text{LCM}(a,b)=a\times b$
A standard result for two positive integers is $\text{HCF}(a,b)\times \text{LCM}(a,b)=a\times b$. The other expressions are not true in general.
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