\(\sqrt{3}\) के प्रमाण में कौन-सा कथन गलत है?

Which statement is wrong in the proof of \(\sqrt{3}\)?

Author: Muft Shiksha Editorial Team Published:
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Correct Answer

C. (p) और (q) दोनों (3) से विभाज्य हों तब भी वे सहभाज्य हैंEven if both (p) and (q) are divisible by (3), they are coprime

Step 1

Concept

If both are divisible by (3), common factor (3) exists. Therefore they cannot be coprime.

Step 2

Why this answer is correct

The correct answer is C. (p) और (q) दोनों (3) से विभाज्य हों तब भी वे सहभाज्य हैं / Even if both (p) and (q) are divisible by (3), they are coprime. If both are divisible by (3), common factor (3) exists. Therefore they cannot be coprime.

Step 3

Exam Tip

दोनों (3) से विभाज्य हों तो सामान्य गुणनखंड (3) है। इसलिए वे सहभाज्य नहीं हो सकते।

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Mathematics Answer, Explanation and Revision Hints

\(\sqrt{3}\) के प्रमाण में कौन-सा कथन गलत है? / Which statement is wrong in the proof of \(\sqrt{3}\)?

Correct Answer: C. (p) और (q) दोनों (3) से विभाज्य हों तब भी वे सहभाज्य हैं / Even if both (p) and (q) are divisible by (3), they are coprime. Explanation: दोनों (3) से विभाज्य हों तो सामान्य गुणनखंड (3) है। इसलिए वे सहभाज्य नहीं हो सकते। / If both are divisible by (3), common factor (3) exists. Therefore they cannot be coprime.

Which concept should I revise for this Mathematics MCQ?

If both are divisible by (3), common factor (3) exists. Therefore they cannot be coprime.

What exam hint can help solve this Mathematics question?

दोनों (3) से विभाज्य हों तो सामान्य गुणनखंड (3) है। इसलिए वे सहभाज्य नहीं हो सकते।