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Mathematics Operations on Sets (Union, Intersection, Difference) MCQ Questions for Class 11 General

Practice focused topic-wise MCQs with answers and explanations for quick revision and exam preparation.

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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 609 MCQs 02 Practice Topic The Empty Set, Finite and Infinite Sets, Equal Sets 599 MCQs 03 Practice Topic Equal sets and Subsets 577 MCQs 04 Practice Topic Power Set and Universal Set 588 MCQs 05 Practice Topic Venn Diagrams 599 MCQs 06 Practice Topic Complement of a Set and its properties 600 MCQs 07 Practice Topic The Empty Set, many more. Step 3: Hence the set is infinite. 1 MCQs

Operations on Sets (Union, Intersection, Difference) Practice Questions

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Question 21/600 Easy Mathematics Sets Operations on Sets (Union, Intersection, Difference) Class 11 Level 16

यदि \(A=\{1,2,3\}\) और \(B=\{3,2,1\}\) हैं, तो \(A\cup B\) क्या है?

If \(A=\{1,2,3\}\) and \(B=\{3,2,1\}\), what is \(A\cup B\)?

Explanation opens after your attempt
Correct Answer

A. ( {1,2,3} )

Explanation

Simple Explanation

समुच्चय में क्रम और दोहराव का महत्व नहीं होता। इसलिए (A=B) और \(A\cup B=A\) है। / Order and repetition do not matter in sets. Therefore (A=B) and \(A\cup B=A\).

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Question 22/600 Easy Mathematics Sets Operations on Sets (Union, Intersection, Difference) Class 11 Level 16

यदि \(A=\{1,2,3\}\) और \(B=\{3,2,1\}\) हैं, तो \(A\cap B\) क्या है?

If \(A=\{1,2,3\}\) and \(B=\{3,2,1\}\), what is \(A\cap B\)?

Explanation opens after your attempt
Correct Answer

A. ( {1,2,3} )

Explanation

Simple Explanation

दोनों समुच्चय समान हैं, इसलिए सभी अवयव सामान्य हैं। अतः \(A\cap B={1,2,3}\) है। / Both sets are equal, so all elements are common. Hence \(A\cap B={1,2,3}\).

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Question 23/600 Easy Mathematics Sets Operations on Sets (Union, Intersection, Difference) Class 11 Level 16

यदि \(A=\{1,4,9,16\}\) और \(B=\{1,2,4,8,16\}\) हैं, तो \(A\cap B\) कौन-सा है?

If \(A=\{1,4,9,16\}\) and \(B=\{1,2,4,8,16\}\), which is \(A\cap B\)?

Explanation opens after your attempt
Correct Answer

A. ( {1,4,16} )

Explanation

Simple Explanation

दोनों में मौजूद अवयव (1,4,16) हैं। (9) केवल (A) में है, इसलिए वह intersection में नहीं आएगा। / The elements present in both sets are (1,4,16). (9) is only in (A), so it will not be in the intersection.

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Question 24/600 Easy Mathematics Sets Operations on Sets (Union, Intersection, Difference) Class 11 Level 16

यदि \(A=\{red,blue,green\}\) और \(B=\{blue,yellow\}\) हैं, तो \(A\cup B\) क्या है?

If \(A=\{red,blue,green\}\) and \(B=\{blue,yellow\}\), what is \(A\cup B\)?

Explanation opens after your attempt
Correct Answer

A. ( {red,blue,green,yellow} )

Explanation

Simple Explanation

संघ में दोनों समुच्चयों के सभी रंग एक बार लिए जाते हैं। (blue) दोहराया हुआ है, इसलिए एक बार लिखा जाएगा। / Union takes all colors from both sets once. (blue) is repeated, so it is written only once.

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Question 25/600 Easy Mathematics Sets Operations on Sets (Union, Intersection, Difference) Class 11 Level 16

यदि \(A=\{red,blue,green\}\) और \(B=\{blue,yellow\}\) हैं, तो (A-B) क्या है?

If \(A=\{red,blue,green\}\) and \(B=\{blue,yellow\}\), what is (A-B)?

Explanation opens after your attempt
Correct Answer

A. ( {red,green} )

Explanation

Simple Explanation

(A) से (B) का सामान्य अवयव (blue) हटेगा। इसलिए (A-B={red,green}) है। / The common element (blue) is removed from (A). Therefore (A-B={red,green}).

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Question 26/600 Easy Mathematics Sets Operations on Sets (Union, Intersection, Difference) Class 11 Level 16

यदि (n(A)=5), (n(B)=4) और (n\(A\cap B\)=2) हैं, तो (n\(A\cup B\)) क्या होगा?

If (n(A)=5), (n(B)=4), and (n\(A\cap B\)=2), what will (n\(A\cup B\)) be?

Explanation opens after your attempt
Correct Answer

A. (7)

Explanation

Simple Explanation

सूत्र (n\(A\cup B\)=n(A)+n(B)-n\(A\cap B\)) लगाएं। इसलिए (5+4-2=7) है। / Use (n\(A\cup B\)=n(A)+n(B)-n\(A\cap B\)). Thus (5+4-2=7).

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Question 27/600 Easy Mathematics Sets Operations on Sets (Union, Intersection, Difference) Class 11 Level 16

यदि (n(A)=8), (n(B)=6) और (n\(A\cup B\)=10) हैं, तो (n\(A\cap B\)) क्या है?

If (n(A)=8), (n(B)=6), and (n\(A\cup B\)=10), what is (n\(A\cap B\))?

Explanation opens after your attempt
Correct Answer

A. (4)

Explanation

Simple Explanation

(n\(A\cap B\)=n(A)+n(B)-n\(A\cup B\)) होता है। अतः (8+6-10=4) है। / (n\(A\cap B\)=n(A)+n(B)-n\(A\cup B\)). Hence (8+6-10=4).

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Question 28/600 Easy Mathematics Sets Operations on Sets (Union, Intersection, Difference) Class 11 Level 16

यदि \(A\cap B=\varnothing\), (n(A)=3) और (n(B)=5) हैं, तो (n\(A\cup B\)) क्या है?

If \(A\cap B=\varnothing\), (n(A)=3), and (n(B)=5), what is (n\(A\cup B\))?

Explanation opens after your attempt
Correct Answer

A. (8)

Explanation

Simple Explanation

असंयुक्त समुच्चयों में (n\(A\cap B\)=0) होता है। इसलिए (n\(A\cup B\)=3+5=8) है। / For disjoint sets, (n\(A\cap B\)=0). Therefore (n\(A\cup B\)=3+5=8).

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Question 29/600 Easy Mathematics Sets Operations on Sets (Union, Intersection, Difference) Class 11 Level 16

यदि \(A=\{1,2,3,4,5,6\}\) और \(B=\{2,4,6\}\) हैं, तो (A-B) में कितने अवयव हैं?

If \(A=\{1,2,3,4,5,6\}\) and \(B=\{2,4,6\}\), how many elements are in (A-B)?

Explanation opens after your attempt
Correct Answer

A. (3)

Explanation

Simple Explanation

(A-B={1,3,5}) है, इसलिए इसमें (3) अवयव हैं। पहले अंतर निकालें, फिर गिनें। / (A-B={1,3,5}), so it has (3) elements. First find the difference, then count.

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Question 30/600 Easy Mathematics Sets Operations on Sets (Union, Intersection, Difference) Class 11 Level 16

यदि \(A=\{1,2,3,4\}\) और \(B=\{4,5,6\}\) हैं, तो (n\(A\cup B\)) क्या है?

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

Explanation opens after your attempt
Correct Answer

A. (6)

Explanation

Simple Explanation

\(A\cup B={1,2,3,4,5,6}\) है। इसलिए (n\(A\cup B\)=6) है। / \(A\cup B={1,2,3,4,5,6}\). Therefore (n\(A\cup B\)=6).

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