यदि (n(U)=100), (n(A)=48), (n(B)=52) और (n\(A'\cap B'\)=18) है, तो (n\(A\cap B\)) क्या है?

If (n(U)=100), (n(A)=48), (n(B)=52), and (n\(A'\cap B'\)=18), what is (n\(A\cap B\))?

Explanation opens after your attempt
Correct Answer

A. (18)

Step 1

Concept

\(A'\cap B'\) means outside both, so (n\(A\cup B\)=100-18=82). Now (48+52-n\(A\cap B\)=82), hence (18).

Step 2

Why this answer is correct

The correct answer is A. (18). \(A'\cap B'\) means outside both, so (n\(A\cup B\)=100-18=82). Now (48+52-n\(A\cap B\)=82), hence (18).

Step 3

Exam Tip

\(A'\cap B'\) का अर्थ दोनों से बाहर है, इसलिए (n\(A\cup B\)=100-18=82)। अब (48+52-n\(A\cap B\)=82), अतः (18)।

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Mathematics Answer, Explanation and Revision Hints

यदि (n(U)=100), (n(A)=48), (n(B)=52) और (n\(A'\cap B'\)=18) है, तो (n\(A\cap B\)) क्या है? / If (n(U)=100), (n(A)=48), (n(B)=52), and (n\(A'\cap B'\)=18), what is (n\(A\cap B\))?

Correct Answer: A. (18). Explanation: \(A'\cap B'\) का अर्थ दोनों से बाहर है, इसलिए (n\(A\cup B\)=100-18=82)। अब (48+52-n\(A\cap B\)=82), अतः (18)। / \(A'\cap B'\) means outside both, so (n\(A\cup B\)=100-18=82). Now (48+52-n\(A\cap B\)=82), hence (18).

Which concept should I revise for this Mathematics MCQ?

\(A'\cap B'\) means outside both, so (n\(A\cup B\)=100-18=82). Now (48+52-n\(A\cap B\)=82), hence (18).

What exam hint can help solve this Mathematics question?

\(A'\cap B'\) का अर्थ दोनों से बाहर है, इसलिए (n\(A\cup B\)=100-18=82)। अब (48+52-n\(A\cap B\)=82), अतः (18)।