यदि \(A=\{1,2,3,4,5\}\) और \(B=\{2,3,4,5,6\}\) हैं, तो \(A\times B\) में कितने युग्म ((a,b)) ऐसे हैं जिनमें (ab) विषम है?

If \(A=\{1,2,3,4,5\}\) and \(B=\{2,3,4,5,6\}\), how many pairs ((a,b)) in \(A\times B\) have (ab) odd?

Explanation opens after your attempt
Correct Answer

C. (6)

Step 1

Concept

The product is odd only when both components are odd. (A) has (3) odd elements and (B) has (2), so \(3\cdot2=6\).

Step 2

Why this answer is correct

The correct answer is C. (6). The product is odd only when both components are odd. (A) has (3) odd elements and (B) has (2), so \(3\cdot2=6\).

Step 3

Exam Tip

गुणनफल विषम तभी होगा जब दोनों अवयव विषम हों। (A) में (3) और (B) में (2) विषम अवयव हैं, इसलिए \(3\cdot2=6\)।

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यदि \(A=\{1,2,3,4,5\}\) और \(B=\{2,3,4,5,6\}\) हैं, तो \(A\times B\) में कितने युग्म ((a,b)) ऐसे हैं जिनमें (ab) विषम है? / If \(A=\{1,2,3,4,5\}\) and \(B=\{2,3,4,5,6\}\), how many pairs ((a,b)) in \(A\times B\) have (ab) odd?

Correct Answer: C. (6). Explanation: गुणनफल विषम तभी होगा जब दोनों अवयव विषम हों। (A) में (3) और (B) में (2) विषम अवयव हैं, इसलिए \(3\cdot2=6\)। / The product is odd only when both components are odd. (A) has (3) odd elements and (B) has (2), so \(3\cdot2=6\).

Which concept should I revise for this Mathematics MCQ?

The product is odd only when both components are odd. (A) has (3) odd elements and (B) has (2), so \(3\cdot2=6\).

What exam hint can help solve this Mathematics question?

गुणनफल विषम तभी होगा जब दोनों अवयव विषम हों। (A) में (3) और (B) में (2) विषम अवयव हैं, इसलिए \(3\cdot2=6\)।