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 (\operatorname{lcm}(a,b)=6) 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 (\operatorname{lcm}(a,b)=6)?
Explanation opens after your attempt
Correct Answer
C. (9)
Concept
For (\operatorname{lcm}(a,b)=6), both values must divide (6), and there are (9) pairs. Check using the list of divisors.
Why this answer is correct
The correct answer is C. (9). For (\operatorname{lcm}(a,b)=6), both values must divide (6), and there are (9) pairs. Check using the list of divisors.
Exam Tip
(\operatorname{lcm}(a,b)=6) के लिए (a,b) के मान (6) के भाजक होने चाहिए और कुल (9) युग्म मिलते हैं। भाजकों की सूची से जाँचें।
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