The ratio of the LCM and HCF of the least composite number and the least prime number is:
(a) $1 : 2$
(b) $2 : 1$
(c) $1 : 1$
(d) $4 : 1$
Step-by-Step Solution
Key Concept: Least prime number $= 2$. Least composite number $= 4$.
Least prime $= 2$, least composite $= 4$. [0.5 Mark]
$\text{LCM}(4, 2) = 4$, $\text{HCF}(4, 2) = 2$. Ratio $= 4 : 2 = 2 : 1$. [0.5 Mark]
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🎯 Official CBSE Marking Scheme:
Identifying numbers 2 and 4: 0.5 Mark
Ratio $\text{LCM}/\text{HCF} = 2 : 1$: 0.5 Mark
Correct Answer: $2 : 1$