Class 11 Mathematics Sets Operations on Sets (Union, Intersection, Difference) Medium Level 16

यदि \(A={x:x\in \mathbb{N},1\le x\le 12}\), \(B=\{2,4,6,8,10,12\}\) और \(C=\{3,6,9,12\}\) हैं, तो (A\setminus \(B\cup C\)) क्या है?

If \(A={x:x\in \mathbb{N},1\le x\le 12}\), \(B=\{2,4,6,8,10,12\}\), and \(C=\{3,6,9,12\}\), what is (A\setminus \(B\cup C\))?

Explanation opens after your attempt
Correct Answer

A. ( {1,5,7,11} )

Step 1

Concept

\(B\cup C={2,3,4,6,8,9,10,12}\); removing these from (A) leaves (1,5,7,11). First decide which elements must be removed.

Step 2

Why this answer is correct

The correct answer is A. ( {1,5,7,11} ). \(B\cup C={2,3,4,6,8,9,10,12}\); removing these from (A) leaves (1,5,7,11). First decide which elements must be removed.

Step 3

Exam Tip

\(B\cup C={2,3,4,6,8,9,10,12}\), इन्हें (A) से हटाने पर (1,5,7,11) बचते हैं। पहले हटाए जाने वाले अवयव तय करें।

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Mathematics Answer, Explanation and Revision Hints

यदि \(A={x:x\in \mathbb{N},1\le x\le 12}\), \(B=\{2,4,6,8,10,12\}\) और \(C=\{3,6,9,12\}\) हैं, तो (A\setminus \(B\cup C\)) क्या है? / If \(A={x:x\in \mathbb{N},1\le x\le 12}\), \(B=\{2,4,6,8,10,12\}\), and \(C=\{3,6,9,12\}\), what is (A\setminus \(B\cup C\))?

Correct Answer: A. ( {1,5,7,11} ). Explanation: \(B\cup C={2,3,4,6,8,9,10,12}\), इन्हें (A) से हटाने पर (1,5,7,11) बचते हैं। पहले हटाए जाने वाले अवयव तय करें। / \(B\cup C={2,3,4,6,8,9,10,12}\); removing these from (A) leaves (1,5,7,11). First decide which elements must be removed.

Which concept should I revise for this Mathematics MCQ?

\(B\cup C={2,3,4,6,8,9,10,12}\); removing these from (A) leaves (1,5,7,11). First decide which elements must be removed.

What exam hint can help solve this Mathematics question?

\(B\cup C={2,3,4,6,8,9,10,12}\), इन्हें (A) से हटाने पर (1,5,7,11) बचते हैं। पहले हटाए जाने वाले अवयव तय करें।