MP Board · Class 10 · Mathematics · Real NumbersThe HCF of 96 and 404 is:
📊Student Analytics & Stats
Total Attempts: 33
Accuracy Rate: 39.4%
Step-by-Step Solution
The correct answer is B (4).
Explanation:
- Prime factorization of $96 = 2^5 \times 3$.
- Prime factorization of $404 = 2^2 \times 101$.
- HCF is the product of the smallest power of each common prime factor in the numbers, which is $2^2 = 4$.
Detailed Options Breakdown
Option : 2
Incorrect choice. This distractor represents a common misunderstanding of the core principles of Real Numbers.
Option 1: 4 (Correct Answer)
Correct choice. Refer to the step-by-step verified solution guidelines above for details.
Option 2: 8
Incorrect choice. This distractor represents a common misunderstanding of the core principles of Real Numbers.
Option 3: 16
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.