यदि \(U=\{1,2,3,4,5,6,7,8,9,10\}\), \(A=\{2,3,5,7\}\) और \(B=\{1,4,6,8,9,10\}\), तो कौन सा कथन (A) और (B) के लिए सही है?

If \(U=\{1,2,3,4,5,6,7,8,9,10\}\), \(A=\{2,3,5,7\}\), and \(B=\{1,4,6,8,9,10\}\), which statement is correct for (A) and (B)?

Explanation opens after your attempt
Correct Answer

A. \(B=A^{c}\)

Step 1

Concept

The elements outside (A) in (U) are exactly the elements of (B), so \(B=A^{c}\). Also, (A) and (B) are disjoint.

Step 2

Why this answer is correct

The correct answer is A. \(B=A^{c}\). The elements outside (A) in (U) are exactly the elements of (B), so \(B=A^{c}\). Also, (A) and (B) are disjoint.

Step 3

Exam Tip

(A) के बाहर (U) में ठीक (B) के अवयव हैं, इसलिए \(B=A^{c}\)। साथ ही (A) और (B) असंपाती हैं।

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Mathematics Answer, Explanation and Revision Hints

यदि \(U=\{1,2,3,4,5,6,7,8,9,10\}\), \(A=\{2,3,5,7\}\) और \(B=\{1,4,6,8,9,10\}\), तो कौन सा कथन (A) और (B) के लिए सही है? / If \(U=\{1,2,3,4,5,6,7,8,9,10\}\), \(A=\{2,3,5,7\}\), and \(B=\{1,4,6,8,9,10\}\), which statement is correct for (A) and (B)?

Correct Answer: A. \(B=A^{c}\). Explanation: (A) के बाहर (U) में ठीक (B) के अवयव हैं, इसलिए \(B=A^{c}\)। साथ ही (A) और (B) असंपाती हैं। / The elements outside (A) in (U) are exactly the elements of (B), so \(B=A^{c}\). Also, (A) and (B) are disjoint.

Which concept should I revise for this Mathematics MCQ?

The elements outside (A) in (U) are exactly the elements of (B), so \(B=A^{c}\). Also, (A) and (B) are disjoint.

What exam hint can help solve this Mathematics question?

(A) के बाहर (U) में ठीक (B) के अवयव हैं, इसलिए \(B=A^{c}\)। साथ ही (A) और (B) असंपाती हैं।