यदि \(U={1,2,\ldots,72}\), (A) (6) के गुणजों का और (B) (8) के गुणजों का समुच्चय है, तो (n\(A\cap B\)) कितना है?

If \(U={1,2,\ldots,72}\), (A) is the set of multiples of (6) and (B) is the set of multiples of (8), then what is (n\(A\cap B\))?

Explanation opens after your attempt
Correct Answer

A. (3)

Step 1

Concept

Common multiples are multiples of (\operatorname{lcm}(6,8)=24), namely (24,48,72). Hence the count is (3).

Step 2

Why this answer is correct

The correct answer is A. (3). Common multiples are multiples of (\operatorname{lcm}(6,8)=24), namely (24,48,72). Hence the count is (3).

Step 3

Exam Tip

साझा गुणज (\operatorname{lcm}(6,8)=24) के गुणज होंगे, जो (24,48,72) हैं। इसलिए संख्या (3) है।

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Mathematics Answer, Explanation and Revision Hints

यदि \(U={1,2,\ldots,72}\), (A) (6) के गुणजों का और (B) (8) के गुणजों का समुच्चय है, तो (n\(A\cap B\)) कितना है? / If \(U={1,2,\ldots,72}\), (A) is the set of multiples of (6) and (B) is the set of multiples of (8), then what is (n\(A\cap B\))?

Correct Answer: A. (3). Explanation: साझा गुणज (\operatorname{lcm}(6,8)=24) के गुणज होंगे, जो (24,48,72) हैं। इसलिए संख्या (3) है। / Common multiples are multiples of (\operatorname{lcm}(6,8)=24), namely (24,48,72). Hence the count is (3).

Which concept should I revise for this Mathematics MCQ?

Common multiples are multiples of (\operatorname{lcm}(6,8)=24), namely (24,48,72). Hence the count is (3).

What exam hint can help solve this Mathematics question?

साझा गुणज (\operatorname{lcm}(6,8)=24) के गुणज होंगे, जो (24,48,72) हैं। इसलिए संख्या (3) है।