यदि \(U=\{1,2,3,4,5,6,7,8,9,10\}\), \(A=\{1,2,3,4\}\) और \(A^{c}\subseteq B\) है, तो (B) में कम से कम कौन से अवयव होने चाहिए?

If \(U=\{1,2,3,4,5,6,7,8,9,10\}\), \(A=\{1,2,3,4\}\), and \(A^{c}\subseteq B\), which elements must at least be in (B)?

Explanation opens after your attempt
Correct Answer

B. ({5,6,7,8,9,10})

Step 1

Concept

\(A^{c}={5,6,7,8,9,10}\), and it is a subset of (B). Hence all these elements must be in (B).

Step 2

Why this answer is correct

The correct answer is B. ({5,6,7,8,9,10}). \(A^{c}={5,6,7,8,9,10}\), and it is a subset of (B). Hence all these elements must be in (B).

Step 3

Exam Tip

\(A^{c}={5,6,7,8,9,10}\), और यह (B) का उपसमुच्चय है। इसलिए ये सभी अवयव (B) में होने जरूरी हैं।

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Mathematics Answer, Explanation and Revision Hints

यदि \(U=\{1,2,3,4,5,6,7,8,9,10\}\), \(A=\{1,2,3,4\}\) और \(A^{c}\subseteq B\) है, तो (B) में कम से कम कौन से अवयव होने चाहिए? / If \(U=\{1,2,3,4,5,6,7,8,9,10\}\), \(A=\{1,2,3,4\}\), and \(A^{c}\subseteq B\), which elements must at least be in (B)?

Correct Answer: B. ({5,6,7,8,9,10}). Explanation: \(A^{c}={5,6,7,8,9,10}\), और यह (B) का उपसमुच्चय है। इसलिए ये सभी अवयव (B) में होने जरूरी हैं। / \(A^{c}={5,6,7,8,9,10}\), and it is a subset of (B). Hence all these elements must be in (B).

Which concept should I revise for this Mathematics MCQ?

\(A^{c}={5,6,7,8,9,10}\), and it is a subset of (B). Hence all these elements must be in (B).

What exam hint can help solve this Mathematics question?

\(A^{c}={5,6,7,8,9,10}\), और यह (B) का उपसमुच्चय है। इसलिए ये सभी अवयव (B) में होने जरूरी हैं।