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Real Numbers
CBSE 2026 Board Exam Set 1 (Code 30/7/1)
CBSE_BOARD_PYQ_2026_30_7_1
Grade 10
Question:
[Section A]
If $a$ and $b$ are two positive integers, then which of the following relations is correct?
(A) $\text{HCF}(a, b) + \text{LCM}(a, b) = a + b$ (B) $\text{HCF}(a, b) + \text{LCM}(a, b) = a \times b$ (C) $\text{HCF}(a, b) \times \text{LCM}(a, b) = a \times b$ (D) $\text{HCF}(a, b) = \text{LCM}(a, b)$
Step-by-Step Solution
Key Concept: Product of HCF and LCM of two positive integers is equal to the product of the integers.
Sol. (C) $\text{HCF}(a, b) \times \text{LCM}(a, b) = a \times b$. [1.0 Mark]
Correct Answer:(C) $\text{HCF}(a, b) \times \text{LCM}(a, b) = a \times b$
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