\(यदि (A={1,2,3,4}) और (R={(a,b):ab\) सम है}) हो तो कौन सा युग्म (R) में नहीं है?

\(If (A={1,2,3,4}) and (R={(a,b):ab\) is even}), which pair is not in (R)?

Explanation opens after your attempt
Correct Answer

D. \((1,3)\)

Step 1

Concept

Since \(1\cdot 3=3\) is odd, \((1,3)\notin R\). A product is even when at least one component is even.

Step 2

Why this answer is correct

The correct answer is D. \((1,3)\). Since \(1\cdot 3=3\) is odd, \((1,3)\notin R\). A product is even when at least one component is even.

Step 3

Exam Tip

\(1\cdot 3=3\) विषम है इसलिए \((1,3)\notin R\) है। गुणनफल सम तभी होगा जब कम से कम एक अवयव सम हो।

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Mathematics Answer, Explanation and Revision Hints

\(यदि (A={1,2,3,4}) और (R={(a,b):ab\) सम है}) हो तो कौन सा युग्म (R) में नहीं है? \(/ If (A={1,2,3,4}) and (R={(a,b):ab\) is even}), which pair is not in (R)?

Correct Answer: D. \((1,3)\). Explanation: \(1\cdot 3=3\) विषम है इसलिए \((1,3)\notin R\) है। गुणनफल सम तभी होगा जब कम से कम एक अवयव सम हो। / Since \(1\cdot 3=3\) is odd, \((1,3)\notin R\). A product is even when at least one component is even.

Which concept should I revise for this Mathematics MCQ?

Since \(1\cdot 3=3\) is odd, \((1,3)\notin R\). A product is even when at least one component is even.

What exam hint can help solve this Mathematics question?

\(1\cdot 3=3\) विषम है इसलिए \((1,3)\notin R\) है। गुणनफल सम तभी होगा जब कम से कम एक अवयव सम हो।