यदि \(A={x:x\in\mathbb{N},\ x\le50,\ 4\mid x}\) और \(B={x:x\in\mathbb{N},\ x\le50,\ 6\mid x}\), तो (n\(A\cap B\)) क्या है?
If \(A={x:x\in\mathbb{N},\ x\le50,\ 4\mid x}\) and \(B={x:x\in\mathbb{N},\ x\le50,\ 6\mid x}\), what is (n\(A\cap B\))?
Explanation opens after your attempt
Correct Answer
A. (4)
Concept
Numbers divisible by both are multiples of (\operatorname{lcm}(4,6)=12), and up to (50) they are (12,24,36,48). Use LCM for intersections of multiples.
Why this answer is correct
The correct answer is A. (4). Numbers divisible by both are multiples of (\operatorname{lcm}(4,6)=12), and up to (50) they are (12,24,36,48). Use LCM for intersections of multiples.
Exam Tip
दोनों से विभाज्य संख्याएं (\operatorname{lcm}(4,6)=12) की गुणज हैं, और (50) तक (12,24,36,48) हैं। प्रतिच्छेद में लघुत्तम समापवर्त्य उपयोग करें।
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