यदि \(U={1,2,\ldots,36}\), (A) वर्ग संख्याओं का और (B) (3) के गुणजों का समुच्चय है, तो (n\(A\cap B\)) कितना है?

If \(U={1,2,\ldots,36}\), (A) is the set of square numbers and (B) is the set of multiples of (3), then what is (n\(A\cap B\))?

Explanation opens after your attempt
Correct Answer

A. (2)

Step 1

Concept

Square numbers are (1,4,9,16,25,36), and the square multiples of (3) are (9,36). Therefore, the intersection has (2) elements.

Step 2

Why this answer is correct

The correct answer is A. (2). Square numbers are (1,4,9,16,25,36), and the square multiples of (3) are (9,36). Therefore, the intersection has (2) elements.

Step 3

Exam Tip

वर्ग संख्याएँ (1,4,9,16,25,36) हैं और (3) के गुणज वर्ग (9,36) हैं। इसलिए प्रतिच्छेद में (2) तत्व हैं।

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Mathematics Answer, Explanation and Revision Hints

यदि \(U={1,2,\ldots,36}\), (A) वर्ग संख्याओं का और (B) (3) के गुणजों का समुच्चय है, तो (n\(A\cap B\)) कितना है? / If \(U={1,2,\ldots,36}\), (A) is the set of square numbers and (B) is the set of multiples of (3), then what is (n\(A\cap B\))?

Correct Answer: A. (2). Explanation: वर्ग संख्याएँ (1,4,9,16,25,36) हैं और (3) के गुणज वर्ग (9,36) हैं। इसलिए प्रतिच्छेद में (2) तत्व हैं। / Square numbers are (1,4,9,16,25,36), and the square multiples of (3) are (9,36). Therefore, the intersection has (2) elements.

Which concept should I revise for this Mathematics MCQ?

Square numbers are (1,4,9,16,25,36), and the square multiples of (3) are (9,36). Therefore, the intersection has (2) elements.

What exam hint can help solve this Mathematics question?

वर्ग संख्याएँ (1,4,9,16,25,36) हैं और (3) के गुणज वर्ग (9,36) हैं। इसलिए प्रतिच्छेद में (2) तत्व हैं।