MP Board · Class 10 · Mathematics · Real NumbersFor any two positive integers $a$ and $b$, $\text{HCF}(a, b) \times \text{LCM}(a, b)$ is equal to:
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Total Attempts: 16
Accuracy Rate: 50%
Step-by-Step Solution
The correct answer is B ($a \times b$).
Explanation:\nA standard mathematical property for any two positive integers $a$ and $b$ states that the product of their HCF and LCM is equal to the product of the numbers themselves, i.e., $\text{HCF}(a,b) \times \text{LCM}(a,b) = a \times b$.
Detailed Options Breakdown
Option : a + b
Incorrect choice. This distractor represents a common misunderstanding of the core principles of Real Numbers.
Option 1: a \times b (Correct Answer)
Correct choice. Refer to the step-by-step verified solution guidelines above for details.
Option 2: a - b
Incorrect choice. This distractor represents a common misunderstanding of the core principles of Real Numbers.
Option 3: a / b
Incorrect choice. This distractor represents a common misunderstanding of the core principles of Real Numbers.
💡 Study Guide: This question tests core syllabus concepts from Real Numbers. For formulas, key summaries, and mock exam reference guides, read the full Real Numbers Revision Notes.