यदि \(U=\{1,2,3,4,5,6,7,8,9,10,11,12\}\), \(A=\{1,2,3,4,5,6\}\) और \(B=\{2,4,6,8,10,12\}\), तो \(A^{c}\cap B\) क्या है?

If \(U=\{1,2,3,4,5,6,7,8,9,10,11,12\}\), \(A=\{1,2,3,4,5,6\}\), and \(B=\{2,4,6,8,10,12\}\), what is \(A^{c}\cap B\)?

Explanation opens after your attempt
Correct Answer

A. ({8,10,12})

Step 1

Concept

\(A^{c}={7,8,9,10,11,12}\), so \(A^{c}\cap B={8,10,12}\). First find the complement and then take common elements.

Step 2

Why this answer is correct

The correct answer is A. ({8,10,12}). \(A^{c}={7,8,9,10,11,12}\), so \(A^{c}\cap B={8,10,12}\). First find the complement and then take common elements.

Step 3

Exam Tip

\(A^{c}={7,8,9,10,11,12}\) है, इसलिए \(A^{c}\cap B={8,10,12}\)। पहले पूरक निकालकर फिर साझा अवयव लें।

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Mathematics Answer, Explanation and Revision Hints

यदि \(U=\{1,2,3,4,5,6,7,8,9,10,11,12\}\), \(A=\{1,2,3,4,5,6\}\) और \(B=\{2,4,6,8,10,12\}\), तो \(A^{c}\cap B\) क्या है? / If \(U=\{1,2,3,4,5,6,7,8,9,10,11,12\}\), \(A=\{1,2,3,4,5,6\}\), and \(B=\{2,4,6,8,10,12\}\), what is \(A^{c}\cap B\)?

Correct Answer: A. ({8,10,12}). Explanation: \(A^{c}={7,8,9,10,11,12}\) है, इसलिए \(A^{c}\cap B={8,10,12}\)। पहले पूरक निकालकर फिर साझा अवयव लें। / \(A^{c}={7,8,9,10,11,12}\), so \(A^{c}\cap B={8,10,12}\). First find the complement and then take common elements.

Which concept should I revise for this Mathematics MCQ?

\(A^{c}={7,8,9,10,11,12}\), so \(A^{c}\cap B={8,10,12}\). First find the complement and then take common elements.

What exam hint can help solve this Mathematics question?

\(A^{c}={7,8,9,10,11,12}\) है, इसलिए \(A^{c}\cap B={8,10,12}\)। पहले पूरक निकालकर फिर साझा अवयव लें।