यदि \(U={1,2,\ldots,60}\), \(A={x:x\in U,2\mid x}\), \(B={x:x\in U,3\mid x}\), तो (n\(A'\cap B'\)) क्या है?
If \(U={1,2,\ldots,60}\), \(A={x:x\in U,2\mid x}\), and \(B={x:x\in U,3\mid x}\), what is (n\(A'\cap B'\))?
Explanation opens after your attempt
Correct Answer
A. (20)
Concept
\(A'\cap B'\) contains numbers divisible by neither (2) nor (3). Numbers divisible by (2) or (3) are (40), so the complement is (20).
Why this answer is correct
The correct answer is A. (20). \(A'\cap B'\) contains numbers divisible by neither (2) nor (3). Numbers divisible by (2) or (3) are (40), so the complement is (20).
Exam Tip
\(A'\cap B'\) वे संख्याएं हैं जो (2) और (3) दोनों से विभाज्य नहीं हैं। (2) या (3) से विभाज्य संख्याएं (40) हैं, इसलिए पूरक (20) है।
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