Real Numbers
NCERT Exemplar
CBSE
Grade 10
Question:
If $\text{HCF}(a, b) = 12$ and $a \times b = 1800$, then $\text{LCM}(a, b)$ is:
(a) $3600$
(b) $150$
(c) $900$
(d) $120$
Step-by-Step Solution
Key Concept: $\text{HCF}(a, b) \times \text{LCM}(a, b) = a \times b$.
$\text{LCM}(a, b) = \dfrac{a \times b}{\text{HCF}(a, b)} = \dfrac{1800}{12}$. [0.5 Mark]
$= 150$. [0.5 Mark]
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🎯 Official CBSE Marking Scheme:
Correct formula setup: 0.5 Mark
Correct evaluation: 0.5 Mark
Correct Answer: $150$
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