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compulsory elements MCQ Questions for Class 11

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3 questions tagged with compulsory elements.

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

यदि \(U=\{1,2,3,4,5,6,7\}\) और \(A=\{2,4,6\}\), तो (P(A')) के कितने अवयवों में (1) और (7) दोनों होंगे?

If \(U=\{1,2,3,4,5,6,7\}\) and \(A=\{2,4,6\}\), how many elements of (P(A')) contain both (1) and (7)?

Explanation opens after your attempt
Correct Answer

B. (4)

Step 1

Concept

(A'={1,3,5,7}). Fixing (1,7), the elements (3,5) have \(2^2=4\) choices.

Step 2

Why this answer is correct

The correct answer is B. (4). (A'={1,3,5,7}). Fixing (1,7), the elements (3,5) have \(2^2=4\) choices.

Step 3

Exam Tip

(A'={1,3,5,7}) है। (1,7) स्थिर रखने पर (3,5) के \(2^2=4\) चयन होंगे।

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Question 2/3 Expert Mathematics Sets Power Set and Universal Set Class 11 Level 12

यदि \(A=\{a,b,c,d,e\}\), तो (P(A)) के कितने अवयव (a) और (b) दोनों को शामिल करते हैं?

If \(A=\{a,b,c,d,e\}\), how many elements of (P(A)) contain both (a) and (b)?

Explanation opens after your attempt
Correct Answer

B. (8)

Step 1

Concept

(a,b) are fixed, and the remaining (3) elements have \(2^3=8\) choices. When both are compulsory, place them first.

Step 2

Why this answer is correct

The correct answer is B. (8). (a,b) are fixed, and the remaining (3) elements have \(2^3=8\) choices. When both are compulsory, place them first.

Step 3

Exam Tip

(a,b) स्थिर हैं और शेष (3) अवयवों के \(2^3=8\) चयन हो सकते हैं। दोनों अनिवार्य हों तो उन्हें पहले रख लें।

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Question 3/3 Expert Mathematics Sets Equal sets and Subsets Class 11 Level 7

यदि \(A=\{1,2,3,4,5\}\) है तो (A) के कितने उपसमुच्चय (2) और (5) दोनों को रखते हैं?

If \(A=\{1,2,3,4,5\}\) then how many subsets of (A) contain both (2) and (5)?

Explanation opens after your attempt
Correct Answer

C. (8)

Step 1

Concept

The elements (2) and (5) are fixed and the remaining (3) elements are free, so \(2^3=8\). In exams fix compulsory elements first.

Step 2

Why this answer is correct

The correct answer is C. (8). The elements (2) and (5) are fixed and the remaining (3) elements are free, so \(2^3=8\). In exams fix compulsory elements first.

Step 3

Exam Tip

(2) और (5) निश्चित हैं और बाकी (3) तत्व स्वतंत्र हैं इसलिए \(2^3=8\)। परीक्षा में अनिवार्य तत्वों को पहले निश्चित करें।

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