समुच्चय \(A=\{2,3,6,12\}\) पर (aRb) तभी जब \(a\mid b\)। इस poset में least element कौन सा है?

On \(A=\{2,3,6,12\}\), (aRb) if and only if \(a\mid b\). Which is the least element of this poset?

Explanation opens after your attempt
Correct Answer

A. कोई नहींNone

Step 1

Concept

A least element must divide every element. Here neither \(2\mid3\) nor \(3\mid2\), so no least element exists.

Step 2

Why this answer is correct

The correct answer is A. कोई नहीं / None. A least element must divide every element. Here neither \(2\mid3\) nor \(3\mid2\), so no least element exists.

Step 3

Exam Tip

Least element को सभी elements को divide करना चाहिए। यहाँ न \(2\mid3\) और न \(3\mid2\), इसलिए कोई least element नहीं है।

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Mathematics Answer, Explanation and Revision Hints

समुच्चय \(A=\{2,3,6,12\}\) पर (aRb) तभी जब \(a\mid b\)। इस poset में least element कौन सा है? / On \(A=\{2,3,6,12\}\), (aRb) if and only if \(a\mid b\). Which is the least element of this poset?

Correct Answer: A. कोई नहीं / None. Explanation: Least element को सभी elements को divide करना चाहिए। यहाँ न \(2\mid3\) और न \(3\mid2\), इसलिए कोई least element नहीं है। / A least element must divide every element. Here neither \(2\mid3\) nor \(3\mid2\), so no least element exists.

Which concept should I revise for this Mathematics MCQ?

A least element must divide every element. Here neither \(2\mid3\) nor \(3\mid2\), so no least element exists.

What exam hint can help solve this Mathematics question?

Least element को सभी elements को divide करना चाहिए। यहाँ न \(2\mid3\) और न \(3\mid2\), इसलिए कोई least element नहीं है।