\(यदि (U={x:x\in\mathbb{N},1\le x\le 12}) और (A={x:x\) 2 और 3 दोनों से विभाज्य है\(}), तो (A^c) क्या होगा\)?
\(If (U={x:x\in\mathbb{N},1\le x\le 12}) and (A={x:x\) is divisible by both 2 and \(3}), what is (A^c)\)?
Explanation opens after your attempt
A. ({1,2,3,4,5,7,8,9,10,11})
Concept
Divisible by both means divisible by (6), so \(A=\{6,12\}\). The remaining elements are \(A^c\).
Why this answer is correct
The correct answer is A. ({1,2,3,4,5,7,8,9,10,11}). Divisible by both means divisible by (6), so \(A=\{6,12\}\). The remaining elements are \(A^c\).
Exam Tip
दोनों से विभाज्य होने का अर्थ (6) से विभाज्य होना है, इसलिए \(A=\{6,12\}\)। बाकी तत्व \(A^c\) हैं।
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