CBSE · Class 6 · Mathematics · Playing with NumbersThe product of HCF and LCM of two given numbers is equal to:
Step-by-Step Solution
The correct answer is Product of the two numbers.
Explanation:
- For any two positive integers $a$ and $b$, the relation is: $$\text{HCF}(a, b) \times \text{LCM}(a, b) = a \times b$$
- Therefore, the product of HCF and LCM equals the product of the two numbers.
Detailed Options Breakdown
Option : Sum of the two numbers
Incorrect choice. This distractor represents a common misunderstanding of the core principles of Playing with Numbers.
Option 1: Difference of the two numbers
Incorrect choice. This distractor represents a common misunderstanding of the core principles of Playing with Numbers.
Option 2: Product of the two numbers (Correct Answer)
Correct choice. Refer to the step-by-step verified solution guidelines above for details.
Option 3: Division of the two numbers
Incorrect choice. This distractor represents a common misunderstanding of the core principles of Playing with Numbers.
💡 Study Guide: This question tests core syllabus concepts from Playing with Numbers. For formulas, key summaries, and mock exam reference guides, read the full Playing with Numbers Revision Notes.