Real Numbers
RD Sharma Ch 01
CBSE_RD_SHARMA_CH01
Grade 10
Question:
If $\text{HCF}(a, b) = 8$ and $a \times b = 384$, then $\text{LCM}(a, b)$ is:
$48$
$32$
$24$
$64$
Step-by-Step Solution
Key Concept: $\text{HCF}(a,b) \times \text{LCM}(a,b) = a \times b$.
Stepwise Solution:
$\text{LCM}(a, b) = \dfrac{a \times b}{\text{HCF}(a, b)} = \dfrac{384}{8}$. [0.5 Mark]
$= 48$. [0.5 Mark]
Marking Scheme:
• Formula application: 0.5 Mark
• Calculation: 0.5 Mark
Correct Answer: $48$
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