यदि \(U={1,2,\ldots,54}\), \(A={x:x \in U,9\mid x}\), \(B={x:x \in U,6\mid x}\), तो (n\(A'\cap B'\)) क्या है?
If \(U={1,2,\ldots,54}\), \(A={x:x \in U,9\mid x}\), and \(B={x:x \in U,6\mid x}\), what is (n\(A'\cap B'\))?
Explanation opens after your attempt
A. (42)
Concept
(A'\cap B'=\(A\cup B\)'). Numbers divisible by (9) or (6) are (6+9-3=12), so the complement is (42).
Why this answer is correct
The correct answer is A. (42). (A'\cap B'=\(A\cup B\)'). Numbers divisible by (9) or (6) are (6+9-3=12), so the complement is (42).
Exam Tip
(A'\cap B'=\(A\cup B\)') है। (9) या (6) से विभाज्य संख्याएं (6+9-3=12) हैं, इसलिए पूरक (42) है।
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