यदि \(A=\{p,q\}\), \(B=\{p,q,r,s\}\), तो कितने (X) ऐसे हैं कि \(A\subset X\subseteq B\)?

If \(A=\{p,q\}\), \(B=\{p,q,r,s\}\), how many (X) satisfy \(A\subset X\subseteq B\)?

Explanation opens after your attempt
Correct Answer

B. (3)

Step 1

Concept

Elements (r,s) are optional, but \(X\ne A\). Therefore the answer is \(2^2-1=3\).

Step 2

Why this answer is correct

The correct answer is B. (3). Elements (r,s) are optional, but \(X\ne A\). Therefore the answer is \(2^2-1=3\).

Step 3

Exam Tip

(r,s) वैकल्पिक हैं लेकिन (X=A) नहीं होना चाहिए। इसलिए \(2^2-1=3\) उत्तर है।

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Mathematics Answer, Explanation and Revision Hints

यदि \(A=\{p,q\}\), \(B=\{p,q,r,s\}\), तो कितने (X) ऐसे हैं कि \(A\subset X\subseteq B\)? / If \(A=\{p,q\}\), \(B=\{p,q,r,s\}\), how many (X) satisfy \(A\subset X\subseteq B\)?

Correct Answer: B. (3). Explanation: (r,s) वैकल्पिक हैं लेकिन (X=A) नहीं होना चाहिए। इसलिए \(2^2-1=3\) उत्तर है। / Elements (r,s) are optional, but \(X\ne A\). Therefore the answer is \(2^2-1=3\).

Which concept should I revise for this Mathematics MCQ?

Elements (r,s) are optional, but \(X\ne A\). Therefore the answer is \(2^2-1=3\).

What exam hint can help solve this Mathematics question?

(r,s) वैकल्पिक हैं लेकिन (X=A) नहीं होना चाहिए। इसलिए \(2^2-1=3\) उत्तर है।