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Mathematics Complement of a Set and its properties MCQ Questions for Class 11 General

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Same chapter ke nearby topics ko revise jarur karein. Exam preparation ke liye yeh topics important hain. jisme niche ke ye 7 Topics hain.

7 topics
01 Practice Topic Sets and their representations 614 MCQs 02 Practice Topic The Empty Set, Finite and Infinite Sets, Equal Sets 599 MCQs 03 Practice Topic Equal sets and Subsets 491 MCQs 04 Practice Topic Power Set and Universal Set 588 MCQs 05 Practice Topic Venn Diagrams 599 MCQs 06 Practice Topic Operations on Sets (Union, Intersection, Difference) 600 MCQs 07 Practice Topic The Empty Set, many more. Step 3: Hence the set is infinite. 1 MCQs

Complement of a Set and its properties Practice Questions

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Question 121/600 Easy Mathematics Sets Complement of a Set and its properties Class 11 Level 21

\(यदि (U={x:x\) एक अंक है\(}) और (A={0,2,4,6,8}) है, तो (A^c) क्या होगा\)?

\(If (U={x:x\) is a digit\(}) and (A={0,2,4,6,8}), what is (A^c)\)?

Explanation opens after your attempt
Correct Answer

A. ({1,3,5,7,9})

Explanation

Simple Explanation

(U) में सभी अंक हैं और (A) में सम अंक हैं। इसलिए \(A^c\) में विषम अंक होंगे। / (U) contains all digits and (A) contains even digits. Therefore \(A^c\) contains odd digits.

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Question 122/600 Easy Mathematics Sets Complement of a Set and its properties Class 11 Level 21

यदि (n(U)=48) और (n\(A^c\)=19) है, तो (n(A)) कितना होगा?

If (n(U)=48) and (n\(A^c\)=19), what is (n(A))?

Explanation opens after your attempt
Correct Answer

A. (29)

Explanation

Simple Explanation

(n(A)=n(U)-n\(A^c\)) होता है। इसलिए (48-19=29) मिलेगा। / (n(A)=n(U)-n\(A^c\)). Therefore (48-19=29).

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Question 123/600 Easy Mathematics Sets Complement of a Set and its properties Class 11 Level 21

यदि (n(U)=24) और (n(A)=n\(A^c\)) है, तो (n(A)) कितना होगा?

If (n(U)=24) and (n(A)=n\(A^c\)), what is (n(A))?

Explanation opens after your attempt
Correct Answer

A. (12)

Explanation

Simple Explanation

(A) और \(A^c\) मिलकर (U) बनाते हैं और दोनों बराबर हैं। इसलिए \(24\div 2=12\) होगा। / (A) and \(A^c\) together form (U), and both have equal size. Hence \(24\div 2=12\).

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Question 124/600 Easy Mathematics Sets Complement of a Set and its properties Class 11 Level 21

यदि (n(U)=31) है, तो (n\(A\cup A^c\)) कितना होगा?

If (n(U)=31), what is (n\(A\cup A^c\))?

Explanation opens after your attempt
Correct Answer

A. (31)

Explanation

Simple Explanation

\(A\cup A^c=U\) होता है। इसलिए (n\(A\cup A^c\)=31) होगा। / \(A\cup A^c=U\). Therefore (n\(A\cup A^c\)=31).

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Question 125/600 Easy Mathematics Sets Complement of a Set and its properties Class 11 Level 21

यदि \(U=\{2,4,6,8,10,12\}\) और \(A=\{4,8,12\}\) है, तो (U-A) क्या होगा?

If \(U=\{2,4,6,8,10,12\}\) and \(A=\{4,8,12\}\), what is (U-A)?

Explanation opens after your attempt
Correct Answer

A. ({2,6,10})

Explanation

Simple Explanation

(U-A) वही है जो \(A^c\) है। (4,8,12) हटाने पर (2,6,10) बचते हैं। / (U-A) is the same as \(A^c\). Removing (4,8,12) leaves (2,6,10).

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Question 126/600 Easy Mathematics Sets Complement of a Set and its properties Class 11 Level 21

यदि \(U=\{1,2,3,4,5,6,7,8\}\) और \(A^c={2,4,6,8}\) है, तो \(A\cap A^c\) क्या होगा?

If \(U=\{1,2,3,4,5,6,7,8\}\) and \(A^c={2,4,6,8}\), what is \(A\cap A^c\)?

Explanation opens after your attempt
Correct Answer

A. \(\varnothing\)empty set

Explanation

Simple Explanation

(A) और \(A^c\) में कोई साझा तत्व नहीं होता। इसलिए \(A\cap A^c=\varnothing\) सीधे मिलता है। / (A) and \(A^c\) have no common element. Therefore \(A\cap A^c=\varnothing\) directly.

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Question 127/600 Easy Mathematics Sets Complement of a Set and its properties Class 11 Level 21

यदि \(U=\{a,b,c,d,e\}\) और \(A^c={b,e}\) है, तो \(A\cup A^c\) क्या होगा?

If \(U=\{a,b,c,d,e\}\) and \(A^c={b,e}\), what is \(A\cup A^c\)?

Explanation opens after your attempt
Correct Answer

A. (U)

Explanation

Simple Explanation

\(A\cup A^c\) हमेशा पूरा (U) होता है। इसलिए (A) निकालना जरूरी नहीं है। / \(A\cup A^c\) is always the whole (U). So it is not necessary to find (A).

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Question 128/600 Easy Mathematics Sets Complement of a Set and its properties Class 11 Level 21

यदि \(6\in U\) और \(6\notin A\) है, तो सही निष्कर्ष कौन सा है?

If \(6\in U\) and \(6\notin A\), which conclusion is correct?

Explanation opens after your attempt
Correct Answer

A. \(6\in A^c\)

Explanation

Simple Explanation

जो तत्व (U) में है लेकिन (A) में नहीं है, वह \(A^c\) में होगा। यही पूरक की सदस्यता शर्त है। / An element that is in (U) but not in (A) belongs to \(A^c\). This is the membership condition of complement.

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Question 129/600 Easy Mathematics Sets Complement of a Set and its properties Class 11 Level 21

यदि \(5\notin A^c\) और \(5\in U\) है, तो कौन सा कथन सही है?

If \(5\notin A^c\) and \(5\in U\), which statement is correct?

Explanation opens after your attempt
Correct Answer

A. \(5\in A\)

Explanation

Simple Explanation

(U) का कोई तत्व या तो (A) में होगा या \(A^c\) में। यदि वह \(A^c\) में नहीं है, तो वह (A) में होगा। / An element of (U) belongs either to (A) or to \(A^c\). If it is not in \(A^c\), then it is in (A).

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Question 130/600 Easy Mathematics Sets Complement of a Set and its properties Class 11 Level 21

यदि (U=[1,9]) और (A=[1,5)) है, तो \(A^c\) क्या होगा?

If (U=[1,9]) and (A=[1,5)), what is \(A^c\)?

Explanation opens after your attempt
Correct Answer

A. ([5,9])

Explanation

Simple Explanation

(5) (A) में शामिल नहीं है, इसलिए (5) पूरक में आएगा। (9) (U) में शामिल है, इसलिए ([5,9]) सही है। / (5) is not included in (A), so (5) comes in the complement. Since (9) is included in (U), ([5,9]) is correct.

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