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
Correct Answer

A. (39)

Step 1

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).

Step 2

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).

Step 3

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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Mathematics Answer, Explanation and Revision Hints

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(\(A\cap B\)'))?

Correct Answer: A. (39). Explanation: \(A\cap B\) में (\operatorname{lcm}(5,8)=40) के गुणज आएंगे। (40) तक केवल (1) ऐसा सदस्य है, इसलिए पूरक (39) है। / \(A\cap B\) contains multiples of (\operatorname{lcm}(5,8)=40). Up to (40), there is only (1) such element, so the complement is (39).

Which concept should I revise for this Mathematics MCQ?

\(A\cap B\) contains multiples of (\operatorname{lcm}(5,8)=40). Up to (40), there is only (1) such element, so the complement is (39).

What exam hint can help solve this Mathematics question?

\(A\cap B\) में (\operatorname{lcm}(5,8)=40) के गुणज आएंगे। (40) तक केवल (1) ऐसा सदस्य है, इसलिए पूरक (39) है।