यदि \(A=\{1,2,3,6\}\), \(B=\{2,3,5,6\}\) और \(C=\{3,6,9\}\) हैं, तो \(A\cap B\cap C\) क्या है?

If \(A=\{1,2,3,6\}\), \(B=\{2,3,5,6\}\), and \(C=\{3,6,9\}\), what is \(A\cap B\cap C\)?

Explanation opens after your attempt
Correct Answer

A. ( {3,6} )

Step 1

Concept

Both (3) and (6) are in all three sets. In a three-set intersection, an element must be in every set.

Step 2

Why this answer is correct

The correct answer is A. ( {3,6} ). Both (3) and (6) are in all three sets. In a three-set intersection, an element must be in every set.

Step 3

Exam Tip

तीनों समुच्चयों में (3) और (6) दोनों हैं। तीन-समुच्चय प्रतिच्छेद में अवयव सभी समुच्चयों में होना चाहिए।

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Mathematics Answer, Explanation and Revision Hints

यदि \(A=\{1,2,3,6\}\), \(B=\{2,3,5,6\}\) और \(C=\{3,6,9\}\) हैं, तो \(A\cap B\cap C\) क्या है? / If \(A=\{1,2,3,6\}\), \(B=\{2,3,5,6\}\), and \(C=\{3,6,9\}\), what is \(A\cap B\cap C\)?

Correct Answer: A. ( {3,6} ). Explanation: तीनों समुच्चयों में (3) और (6) दोनों हैं। तीन-समुच्चय प्रतिच्छेद में अवयव सभी समुच्चयों में होना चाहिए। / Both (3) and (6) are in all three sets. In a three-set intersection, an element must be in every set.

Which concept should I revise for this Mathematics MCQ?

Both (3) and (6) are in all three sets. In a three-set intersection, an element must be in every set.

What exam hint can help solve this Mathematics question?

तीनों समुच्चयों में (3) और (6) दोनों हैं। तीन-समुच्चय प्रतिच्छेद में अवयव सभी समुच्चयों में होना चाहिए।