यदि \(A\cap B\subseteq A\setminus C\), तो कौन सा कथन अवश्य सत्य है?

If \(A\cap B\subseteq A\setminus C\), which statement must be true?

Explanation opens after your attempt
Correct Answer

A. \(A\cap B\cap C=\varnothing\)

Step 1

Concept

The set \(A\setminus C\) contains no element of (C). Therefore no element of \(A\cap B\) can lie in (C).

Step 2

Why this answer is correct

The correct answer is A. \(A\cap B\cap C=\varnothing\). The set \(A\setminus C\) contains no element of (C). Therefore no element of \(A\cap B\) can lie in (C).

Step 3

Exam Tip

\(A\setminus C\) में (C) का कोई तत्व नहीं होता। इसलिए \(A\cap B\) का कोई तत्व (C) में नहीं होगा।

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Mathematics Answer, Explanation and Revision Hints

यदि \(A\cap B\subseteq A\setminus C\), तो कौन सा कथन अवश्य सत्य है? / If \(A\cap B\subseteq A\setminus C\), which statement must be true?

Correct Answer: A. \(A\cap B\cap C=\varnothing\). Explanation: \(A\setminus C\) में (C) का कोई तत्व नहीं होता। इसलिए \(A\cap B\) का कोई तत्व (C) में नहीं होगा। / The set \(A\setminus C\) contains no element of (C). Therefore no element of \(A\cap B\) can lie in (C).

Which concept should I revise for this Mathematics MCQ?

The set \(A\setminus C\) contains no element of (C). Therefore no element of \(A\cap B\) can lie in (C).

What exam hint can help solve this Mathematics question?

\(A\setminus C\) में (C) का कोई तत्व नहीं होता। इसलिए \(A\cap B\) का कोई तत्व (C) में नहीं होगा।