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Real Numbers

RD Sharma

CBSE

Grade 10

Question:

If $\text{HCF}(a, b) = 12$ and $\text{LCM}(a, b) = 360$, and $a = 60$, then $b$ is:
(a) $72$
(b) $60$
(c) $84$
(d) $48$

Step-by-Step Solution

Key Concept: $b = \dfrac{12 \times 360}{60} = 72$.

$b = \dfrac{12 \times 360}{60} = 12 \times 6 = 72$. [1.0 Mark]

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🎯 Official CBSE Marking Scheme:
Evaluating $b = 72$: 1.0 Mark

Correct Answer: $72$

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