Real Numbers
NCERT Exemplar Ch 01
CBSE_NCERT_EXEMPLAR_CH01
Grade 10
Question:
If $\text{HCF}(a, b) = 12$ and $a \times b = 1800$, then $\text{LCM}(a, b)$ is:
$3600$
$150$
$900$
$120$
Step-by-Step Solution
Key Concept: $\text{HCF}(a, b) \times \text{LCM}(a, b) = a \times b$.
Stepwise Solution:
$\text{LCM}(a, b) = \dfrac{a \times b}{\text{HCF}(a, b)} = \dfrac{1800}{12}$. [0.5 Mark]
$= 150$. [0.5 Mark]
Marking Scheme:
• Correct formula setup: 0.5 Mark
• Correct evaluation: 0.5 Mark
Correct Answer: $150$
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