यदि \(A=\{1,2,3,4,5,6\}\) और \(B=\{1,2,3,4,5,6\}\) हैं, तो \(A\times B\) में कितने युग्म ((a,b)) ऐसे हैं जिनमें (a+b=9) या (ab=12) है?

If \(A=\{1,2,3,4,5,6\}\) and \(B=\{1,2,3,4,5,6\}\), how many pairs ((a,b)) in \(A\times B\) satisfy (a+b=9) or (ab=12)?

Explanation opens after your attempt
Correct Answer

B. (8)

Step 1

Concept

There are (4) pairs with (a+b=9) and (4) with (ab=12), with no overlap. Hence the total is (8).

Step 2

Why this answer is correct

The correct answer is B. (8). There are (4) pairs with (a+b=9) and (4) with (ab=12), with no overlap. Hence the total is (8).

Step 3

Exam Tip

(a+b=9) वाले (4) और (ab=12) वाले (4) युग्म हैं, साझा कोई नहीं है। इसलिए कुल (8) युग्म हैं।

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Mathematics Answer, Explanation and Revision Hints

यदि \(A=\{1,2,3,4,5,6\}\) और \(B=\{1,2,3,4,5,6\}\) हैं, तो \(A\times B\) में कितने युग्म ((a,b)) ऐसे हैं जिनमें (a+b=9) या (ab=12) है? / If \(A=\{1,2,3,4,5,6\}\) and \(B=\{1,2,3,4,5,6\}\), how many pairs ((a,b)) in \(A\times B\) satisfy (a+b=9) or (ab=12)?

Correct Answer: B. (8). Explanation: (a+b=9) वाले (4) और (ab=12) वाले (4) युग्म हैं, साझा कोई नहीं है। इसलिए कुल (8) युग्म हैं। / There are (4) pairs with (a+b=9) and (4) with (ab=12), with no overlap. Hence the total is (8).

Which concept should I revise for this Mathematics MCQ?

There are (4) pairs with (a+b=9) and (4) with (ab=12), with no overlap. Hence the total is (8).

What exam hint can help solve this Mathematics question?

(a+b=9) वाले (4) और (ab=12) वाले (4) युग्म हैं, साझा कोई नहीं है। इसलिए कुल (8) युग्म हैं।