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contains element MCQ Questions for Class 11

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3 questions tagged with contains element.

Question 1/3 Easy Mathematics Sets Power Set and Universal Set Class 11 Level 12

यदि \(A=\{2,5,8\}\) है तो (\mathcal{P}(A)) में कुल कितने उपसमुच्चय (5) को रखते हैं?

If \(A=\{2,5,8\}\), how many subsets in (\mathcal{P}(A)) contain (5)?

Explanation opens after your attempt
Correct Answer

C. (4)

Step 1

Concept

Keep (5) fixed and choose from the remaining (2) elements in \(2^2=4\) ways. So there are (4) such subsets.

Step 2

Why this answer is correct

The correct answer is C. (4). Keep (5) fixed and choose from the remaining (2) elements in \(2^2=4\) ways. So there are (4) such subsets.

Step 3

Exam Tip

(5) को स्थिर रखकर बाकी (2) तत्वों के लिए \(2^2=4\) विकल्प हैं। इसलिए ऐसे (4) उपसमुच्चय होंगे।

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Question 2/3 Easy Mathematics Sets Power Set and Universal Set Class 11 Level 11

यदि \(A=\{1,2,3\}\) है तो (\mathcal{P}(A)) में कुल कितने समुच्चय (1) को रखते हैं?

If \(A=\{1,2,3\}\), how many sets in (\mathcal{P}(A)) contain (1)?

Explanation opens after your attempt
Correct Answer

C. (4)

Step 1

Concept

Keep (1) fixed and choose or not choose the remaining (2) elements in \(2^2=4\) ways. So there are (4) such subsets.

Step 2

Why this answer is correct

The correct answer is C. (4). Keep (1) fixed and choose or not choose the remaining (2) elements in \(2^2=4\) ways. So there are (4) such subsets.

Step 3

Exam Tip

(1) को स्थिर रखकर बाकी (2) तत्वों को चुनने या न चुनने के \(2^2=4\) तरीके हैं। इसलिए ऐसे (4) उपसमुच्चय हैं।

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Question 3/3 Hard Mathematics Sets Equal sets and Subsets Class 11 Level 9

यदि \(A=\{1,2,3,4,5\}\), तो ऐसे उपसमुच्चयों की संख्या कितनी है जिनमें 1 अवश्य हो?

If \(A=\{1,2,3,4,5\}\), how many subsets must contain 1?

Explanation opens after your attempt
Correct Answer

B. 16

Step 1

Concept

Fix 1, and each of the remaining 4 elements may be chosen or not. So there are \(2^4=16\) subsets.

Step 2

Why this answer is correct

The correct answer is B. 16. Fix 1, and each of the remaining 4 elements may be chosen or not. So there are \(2^4=16\) subsets.

Step 3

Exam Tip

1 को निश्चित रखें और शेष 4 अवयवों को चुनना या न चुनना स्वतंत्र है। इसलिए \(2^4=16\) उपसमुच्चय मिलते हैं।

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