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Real Numbers

CBSE 2026 Board Exam Set 3 (Code 30/1/3)

CBSE_BOARD_PYQ_2026_30_1_3

Grade 10

Question:

[Section A]

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: $\text{HCF}(a, b) \times \text{LCM}(a, b) = a \times b$.

$\text{LCM}(a, b) = \dfrac{a \times b}{\text{HCF}(a, b)} = \dfrac{1800}{12} = 150$. [1.0 Mark]

Correct Answer: (b) 150

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