यदि \(U={1,2,\ldots,40}\), (A) (5) के गुणजों का समुच्चय है और (B) (8) के गुणजों का समुच्चय है, तो (n(\(A\cap B\)')) क्या है?
If \(U={1,2,\ldots,40}\), (A) is the set of multiples of (5), and (B) is the set of multiples of (8), what is (n(\(A\cap B\)'))?
Explanation opens after your attempt
A. (39)
Concept
\(A\cap B\) contains multiples of (\operatorname{lcm}(5,8)=40). Up to (40), there is only (1) such element, so the complement is (39).
Why this answer is correct
The correct answer is A. (39). \(A\cap B\) contains multiples of (\operatorname{lcm}(5,8)=40). Up to (40), there is only (1) such element, so the complement is (39).
Exam Tip
\(A\cap B\) में (\operatorname{lcm}(5,8)=40) के गुणज आएंगे। (40) तक केवल (1) ऐसा सदस्य है, इसलिए पूरक (39) है।
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