यदि \(A=\{2,4,6,8\}\) और \(B=\{2,4,6\}\) हैं, तो \(A\times B\) में कितने युग्म ((a,b)) ऐसे हैं जिनमें (\gcd(a,b)=2) है?
If \(A=\{2,4,6,8\}\) and \(B=\{2,4,6\}\), how many pairs ((a,b)) in \(A\times B\) satisfy (\gcd(a,b)=2)?
Explanation opens after your attempt
Correct Answer
B. (5)
Concept
The suitable pairs are ((2,2),(2,4),(2,6),(4,2),(8,2)), so the count is (5). Check common factors carefully in \(\gcd\) questions.
Why this answer is correct
The correct answer is B. (5). The suitable pairs are ((2,2),(2,4),(2,6),(4,2),(8,2)), so the count is (5). Check common factors carefully in \(\gcd\) questions.
Exam Tip
अनुकूल युग्म ((2,2),(2,4),(2,6),(4,2),(8,2)) हैं, इसलिए संख्या (5) है। \(\gcd\) में साझा गुणनखंड सावधानी से देखें।
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