यदि \(U={1,2,\ldots,15}\), \(A=\{1,4,9\}\), \(B=\{2,4,6,8,10,12,14\}\), तो (\(A\cap B\)') में कितने अवयव हैं?

If \(U={1,2,\ldots,15}\), \(A=\{1,4,9\}\), \(B=\{2,4,6,8,10,12,14\}\), how many elements are in (\(A\cap B\)')?

Explanation opens after your attempt
Correct Answer

B. (14)

Step 1

Concept

\(A\cap B={4}\), so its complement has (15-1=14) elements. The complement of a small intersection can be large.

Step 2

Why this answer is correct

The correct answer is B. (14). \(A\cap B={4}\), so its complement has (15-1=14) elements. The complement of a small intersection can be large.

Step 3

Exam Tip

\(A\cap B={4}\), इसलिए उसके पूरक में (15-1=14) अवयव हैं। छोटे प्रतिच्छेद का पूरक बड़ा हो सकता है।

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Mathematics Answer, Explanation and Revision Hints

यदि \(U={1,2,\ldots,15}\), \(A=\{1,4,9\}\), \(B=\{2,4,6,8,10,12,14\}\), तो (\(A\cap B\)') में कितने अवयव हैं? / If \(U={1,2,\ldots,15}\), \(A=\{1,4,9\}\), \(B=\{2,4,6,8,10,12,14\}\), how many elements are in (\(A\cap B\)')?

Correct Answer: B. (14). Explanation: \(A\cap B={4}\), इसलिए उसके पूरक में (15-1=14) अवयव हैं। छोटे प्रतिच्छेद का पूरक बड़ा हो सकता है। / \(A\cap B={4}\), so its complement has (15-1=14) elements. The complement of a small intersection can be large.

Which concept should I revise for this Mathematics MCQ?

\(A\cap B={4}\), so its complement has (15-1=14) elements. The complement of a small intersection can be large.

What exam hint can help solve this Mathematics question?

\(A\cap B={4}\), इसलिए उसके पूरक में (15-1=14) अवयव हैं। छोटे प्रतिच्छेद का पूरक बड़ा हो सकता है।