यदि \(|A\cup B|=70\), \(|A\setminus B|=25\) और \(|B\setminus A|=30\), तो \(|A\cap B|\) क्या है?

If \(|A\cup B|=70\), \(|A\setminus B|=25\) and \(|B\setminus A|=30\), what is \(|A\cap B|\)?

Explanation opens after your attempt
Correct Answer

A. (15)

Step 1

Concept

The union is the sum of \(A\setminus B\), \(B\setminus A\), and \(A\cap B\). Hence \(|A\cap B|=70-25-30=15\).

Step 2

Why this answer is correct

The correct answer is A. (15). The union is the sum of \(A\setminus B\), \(B\setminus A\), and \(A\cap B\). Hence \(|A\cap B|=70-25-30=15\).

Step 3

Exam Tip

संघ \(A\setminus B\), \(B\setminus A\), और \(A\cap B\) का योग है। अतः \(|A\cap B|=70-25-30=15\) है।

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Mathematics Answer, Explanation and Revision Hints

यदि \(|A\cup B|=70\), \(|A\setminus B|=25\) और \(|B\setminus A|=30\), तो \(|A\cap B|\) क्या है? / If \(|A\cup B|=70\), \(|A\setminus B|=25\) and \(|B\setminus A|=30\), what is \(|A\cap B|\)?

Correct Answer: A. (15). Explanation: संघ \(A\setminus B\), \(B\setminus A\), और \(A\cap B\) का योग है। अतः \(|A\cap B|=70-25-30=15\) है। / The union is the sum of \(A\setminus B\), \(B\setminus A\), and \(A\cap B\). Hence \(|A\cap B|=70-25-30=15\).

Which concept should I revise for this Mathematics MCQ?

The union is the sum of \(A\setminus B\), \(B\setminus A\), and \(A\cap B\). Hence \(|A\cap B|=70-25-30=15\).

What exam hint can help solve this Mathematics question?

संघ \(A\setminus B\), \(B\setminus A\), और \(A\cap B\) का योग है। अतः \(|A\cap B|=70-25-30=15\) है।