यदि (n\(A\cup B\)=54), (n\(A\setminus B\)=17) और (n\(B\setminus A\)=21) है, तो (n\(A\cap B\)) क्या है?

If (n\(A\cup B\)=54), (n\(A\setminus B\)=17) and (n\(B\setminus A\)=21), what is (n\(A\cap B\))?

Explanation opens after your attempt
Correct Answer

A. (16)

Step 1

Concept

\(A\cup B\) is made of three separate parts, so (54=17+21+n\(A\cap B\)). Hence (n\(A\cap B\)=16), add Venn regions carefully.

Step 2

Why this answer is correct

The correct answer is A. (16). \(A\cup B\) is made of three separate parts, so (54=17+21+n\(A\cap B\)). Hence (n\(A\cap B\)=16), add Venn regions carefully.

Step 3

Exam Tip

\(A\cup B\) तीन अलग भागों से बनता है, इसलिए (54=17+21+n\(A\cap B\))। अतः (n\(A\cap B\)=16), वेन आरेख में क्षेत्रों को जोड़ें।

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Mathematics Answer, Explanation and Revision Hints

यदि (n\(A\cup B\)=54), (n\(A\setminus B\)=17) और (n\(B\setminus A\)=21) है, तो (n\(A\cap B\)) क्या है? / If (n\(A\cup B\)=54), (n\(A\setminus B\)=17) and (n\(B\setminus A\)=21), what is (n\(A\cap B\))?

Correct Answer: A. (16). Explanation: \(A\cup B\) तीन अलग भागों से बनता है, इसलिए (54=17+21+n\(A\cap B\))। अतः (n\(A\cap B\)=16), वेन आरेख में क्षेत्रों को जोड़ें। / \(A\cup B\) is made of three separate parts, so (54=17+21+n\(A\cap B\)). Hence (n\(A\cap B\)=16), add Venn regions carefully.

Which concept should I revise for this Mathematics MCQ?

\(A\cup B\) is made of three separate parts, so (54=17+21+n\(A\cap B\)). Hence (n\(A\cap B\)=16), add Venn regions carefully.

What exam hint can help solve this Mathematics question?

\(A\cup B\) तीन अलग भागों से बनता है, इसलिए (54=17+21+n\(A\cap B\))। अतः (n\(A\cap B\)=16), वेन आरेख में क्षेत्रों को जोड़ें।