Class 11 Mathematics Sets Power Set and Universal Set Hard Level 10

यदि \(U=\{1,2,3,4,5,6,7,8,9,10,11,12\}\), \(A=\{2,4,6,8,10,12\}\), \(B=\{3,6,9,12\}\), तो (\(A\cup B\)') में कितने तत्व हैं?

If \(U=\{1,2,3,4,5,6,7,8,9,10,11,12\}\), \(A=\{2,4,6,8,10,12\}\), \(B=\{3,6,9,12\}\), how many elements are in (\(A\cup B\)')?

Explanation opens after your attempt
Correct Answer

C. (4)

Step 1

Concept

\(A\cup B={2,3,4,6,8,9,10,12}\). Its complement is ({1,5,7,11}), so it has (4) elements.

Step 2

Why this answer is correct

The correct answer is C. (4). \(A\cup B={2,3,4,6,8,9,10,12}\). Its complement is ({1,5,7,11}), so it has (4) elements.

Step 3

Exam Tip

\(A\cup B={2,3,4,6,8,9,10,12}\) है। पूरक ({1,5,7,11}) है, इसलिए (4) तत्व हैं।

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Mathematics Answer, Explanation and Revision Hints

यदि \(U=\{1,2,3,4,5,6,7,8,9,10,11,12\}\), \(A=\{2,4,6,8,10,12\}\), \(B=\{3,6,9,12\}\), तो (\(A\cup B\)') में कितने तत्व हैं? / If \(U=\{1,2,3,4,5,6,7,8,9,10,11,12\}\), \(A=\{2,4,6,8,10,12\}\), \(B=\{3,6,9,12\}\), how many elements are in (\(A\cup B\)')?

Correct Answer: C. (4). Explanation: \(A\cup B={2,3,4,6,8,9,10,12}\) है। पूरक ({1,5,7,11}) है, इसलिए (4) तत्व हैं। / \(A\cup B={2,3,4,6,8,9,10,12}\). Its complement is ({1,5,7,11}), so it has (4) elements.

Which concept should I revise for this Mathematics MCQ?

\(A\cup B={2,3,4,6,8,9,10,12}\). Its complement is ({1,5,7,11}), so it has (4) elements.

What exam hint can help solve this Mathematics question?

\(A\cup B={2,3,4,6,8,9,10,12}\) है। पूरक ({1,5,7,11}) है, इसलिए (4) तत्व हैं।