MP Board · Class 10 · Mathematics · Real NumbersThe LCM of two numbers is 182 and their HCF is 13. If one integer is 26, then the other integer is:
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Total Attempts: 25
Accuracy Rate: 36%
Step-by-Step Solution
The correct answer is C (91).
Explanation:\nUsing the formula $\text{LCM} \times \text{HCF} = \text{First number} \times \text{Second number}$: $182 \times 13 = 26 \times x$ $x = \frac{182 \times 13}{26} = \frac{182}{2} = 91$.
Detailed Options Breakdown
Option : 13
Incorrect choice. This distractor represents a common misunderstanding of the core principles of Real Numbers.
Option 1: 26
Incorrect choice. This distractor represents a common misunderstanding of the core principles of Real Numbers.
Option 2: 91 (Correct Answer)
Correct choice. Refer to the step-by-step verified solution guidelines above for details.
Option 3: 182
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.