Concept-wise Practice

complement_count MCQ Questions for Class 11

complement_count se related questions ko ek jagah revise karein. Har question me bilingual content, answer feedback aur explanation available hai.

Practice Questions

8 questions tagged with complement_count.

यदि (n\(A^c\)=58) और (n(U)=132) है, तो (n(A)) कितना होगा?

If (n\(A^c\)=58) and (n(U)=132), what is (n(A))?

Explanation opens after your attempt
Correct Answer

B. (74)

Step 1

Concept

(A) and \(A^c\) together form (U), so (n(A)=132-58=74). In complement questions, always check the universal set.

Step 2

Why this answer is correct

The correct answer is B. (74). (A) and \(A^c\) together form (U), so (n(A)=132-58=74). In complement questions, always check the universal set.

Step 3

Exam Tip

(A) और \(A^c\) मिलकर (U) बनाते हैं, इसलिए (n(A)=132-58=74)। पूरक के प्रश्न में सार्वत्रिक समुच्चय जरूर देखें।

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यदि (n\(A^c\)=48) और (n(U)=95) है, तो (n(A)) कितना होगा?

If (n\(A^c\)=48) and (n(U)=95), what is (n(A))?

Explanation opens after your attempt
Correct Answer

A. (47)

Step 1

Concept

(A) and \(A^c\) together form (U), so (n(A)=95-48=47). In complement questions, always check the universal set.

Step 2

Why this answer is correct

The correct answer is A. (47). (A) and \(A^c\) together form (U), so (n(A)=95-48=47). In complement questions, always check the universal set.

Step 3

Exam Tip

(A) और \(A^c\) मिलकर (U) बनाते हैं, इसलिए (n(A)=95-48=47)। पूरक के प्रश्न में सार्वत्रिक समुच्चय जरूर देखें।

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यदि (n(U)=72) और (n(A)=29), तो (n(A')) क्या होगा?

If (n(U)=72) and (n(A)=29), what will (n(A')) be?

Explanation opens after your attempt
Correct Answer

B. (43)

Step 1

Concept

(n(A')=72-29=43). (A') is the region inside (U) and outside (A).

Step 2

Why this answer is correct

The correct answer is B. (43). (n(A')=72-29=43). (A') is the region inside (U) and outside (A).

Step 3

Exam Tip

(n(A')=72-29=43)। (A') (U) के अंदर (A) से बाहर का क्षेत्र है।

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यदि (n(U)=38) और (n(A)=16), तो (n(A')) क्या होगा?

If (n(U)=38) and (n(A)=16), what will (n(A')) be?

Explanation opens after your attempt
Correct Answer

B. (22)

Step 1

Concept

(n(A')=n(U)-n(A)=38-16=22). Complement is always found by subtracting from (U).

Step 2

Why this answer is correct

The correct answer is B. (22). (n(A')=n(U)-n(A)=38-16=22). Complement is always found by subtracting from (U).

Step 3

Exam Tip

(n(A')=n(U)-n(A)=38-16=22)। पूरक हमेशा (U) से घटाकर निकाला जाता है।

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यदि (n(U)=30), (n(A)=11), तो (n(A')) क्या होगा?

If (n(U)=30) and (n(A)=11), what will (n(A')) be?

Explanation opens after your attempt
Correct Answer

B. (19)

Step 1

Concept

(n(A')=n(U)-n(A)=30-11=19). In a Venn diagram, (A') means the part outside (A).

Step 2

Why this answer is correct

The correct answer is B. (19). (n(A')=n(U)-n(A)=30-11=19). In a Venn diagram, (A') means the part outside (A).

Step 3

Exam Tip

(n(A')=n(U)-n(A)=30-11=19)। वेन आरेख में (A') का अर्थ (A) के बाहर का भाग है।

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यदि \(U=\{0,1,2,3,4,5,6\}\) और \(A=\{1,3,5\}\) है तो (n(A')) कितना है?

If \(U=\{0,1,2,3,4,5,6\}\) and \(A=\{1,3,5\}\), what is (n(A'))?

Explanation opens after your attempt
Correct Answer

B. (4)

Step 1

Concept

(A') contains (0,2,4,6). Therefore (n(A')=4).

Step 2

Why this answer is correct

The correct answer is B. (4). (A') contains (0,2,4,6). Therefore (n(A')=4).

Step 3

Exam Tip

(A') में (0,2,4,6) हैं। इसलिए (n(A')=4) है।

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यदि \(U=\{0,1,2,3,4,5\}\) और \(A=\{0,1,5\}\) है तो (n(A')) कितना है?

If \(U=\{0,1,2,3,4,5\}\) and \(A=\{0,1,5\}\), what is (n(A'))?

Explanation opens after your attempt
Correct Answer

B. (3)

Step 1

Concept

(A') contains (2,3,4). Therefore (n(A')=3).

Step 2

Why this answer is correct

The correct answer is B. (3). (A') contains (2,3,4). Therefore (n(A')=3).

Step 3

Exam Tip

(A') में (2,3,4) हैं। इसलिए (n(A')=3) है।

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यदि \(U=\{0,1,2,3,4\}\) और \(A=\{0,2,4\}\) है तो (A') में कितने तत्व हैं?

If \(U=\{0,1,2,3,4\}\) and \(A=\{0,2,4\}\) then how many elements are in (A')?

Explanation opens after your attempt
Correct Answer

B. (2)

Step 1

Concept

(A') contains (1) and (3). So it has (2) elements.

Step 2

Why this answer is correct

The correct answer is B. (2). (A') contains (1) and (3). So it has (2) elements.

Step 3

Exam Tip

(A') में (1) और (3) आएंगे। इसलिए इसमें (2) तत्व हैं।

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