यदि \(U={1,2,\ldots,50}\), \(A={x:x\in U,\ 4\mid x}\) और \(B={x:x\in U,\ 6\mid x}\) है, तो (n\(A\cap B\)) कितना है?
If \(U={1,2,\ldots,50}\), \(A={x:x\in U,\ 4\mid x}\), and \(B={x:x\in U,\ 6\mid x}\), then what is (n\(A\cap B\))?
Explanation opens after your attempt
Correct Answer
A. (4)
Concept
Common elements are multiples of (\operatorname{lcm}(4,6)=12). Up to (50), they are (12,24,36,48), so there are (4) elements.
Why this answer is correct
The correct answer is A. (4). Common elements are multiples of (\operatorname{lcm}(4,6)=12). Up to (50), they are (12,24,36,48), so there are (4) elements.
Exam Tip
साझा तत्व (\operatorname{lcm}(4,6)=12) के गुणज होंगे। (50) तक (12,24,36,48) यानी (4) तत्व हैं।
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