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

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 601 MCQs 02 Practice Topic The Empty Set, Finite and Infinite Sets, Equal Sets 597 MCQs 03 Practice Topic Equal sets and Subsets 591 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 1/600 Easy Mathematics Sets Operations on Sets (Union, Intersection, Difference) Class 11 Level 16

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

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

Explanation opens after your attempt
Correct Answer

A. ( {1,2,3,4,5} )

Step 1

Concept

\(A\cup B\) contains all distinct elements of both sets. In exams, write repeated elements only once.

Step 2

Why this answer is correct

The correct answer is A. ( {1,2,3,4,5} ). \(A\cup B\) contains all distinct elements of both sets. In exams, write repeated elements only once.

Step 3

Exam Tip

\(A\cup B\) में दोनों समुच्चयों के सभी अलग-अलग अवयव आते हैं। परीक्षा में दोहराए गए अवयव को केवल एक बार लिखें।

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Question 2/600 Easy Mathematics Sets Operations on Sets (Union, Intersection, Difference) Class 11 Level 16

यदि \(A=\{2,4,6,8\}\) और \(B=\{1,2,3,4\}\) हैं, तो \(A\cap B\) ज्ञात कीजिए।

If \(A=\{2,4,6,8\}\) and \(B=\{1,2,3,4\}\), find \(A\cap B\).

Explanation opens after your attempt
Correct Answer

A. ( {2,4} )

Step 1

Concept

\(A\cap B\) contains only elements common to both sets. First identify common elements for quick solving.

Step 2

Why this answer is correct

The correct answer is A. ( {2,4} ). \(A\cap B\) contains only elements common to both sets. First identify common elements for quick solving.

Step 3

Exam Tip

\(A\cap B\) में केवल वे अवयव आते हैं जो दोनों में समान हों। पहले समान अवयवों को पहचानना आसान तरीका है।

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Question 3/600 Easy Mathematics Sets Operations on Sets (Union, Intersection, Difference) Class 11 Level 16

यदि \(A=\{a,b,c,d\}\) और \(B=\{b,d,e\}\) हैं, तो (A-B) क्या होगा?

If \(A=\{a,b,c,d\}\) and \(B=\{b,d,e\}\), what will be (A-B)?

Explanation opens after your attempt
Correct Answer

A. ( {a,c} )

Step 1

Concept

(A-B) contains elements of (A) that are not in (B). In set difference, changing order can change the answer.

Step 2

Why this answer is correct

The correct answer is A. ( {a,c} ). (A-B) contains elements of (A) that are not in (B). In set difference, changing order can change the answer.

Step 3

Exam Tip

(A-B) में (A) के वे अवयव आते हैं जो (B) में नहीं हैं। घटाने में क्रम बदलने से उत्तर बदल सकता है।

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Question 4/600 Easy Mathematics Sets Operations on Sets (Union, Intersection, Difference) Class 11 Level 16

यदि \(P={x:x\in \mathbb{N},x<5}\) और \(Q=\{2,4,6\}\) हैं, तो \(P\cup Q\) कौन-सा है?

If \(P={x:x\in \mathbb{N},x<5}\) and \(Q=\{2,4,6\}\), which is \(P\cup Q\)?

Explanation opens after your attempt
Correct Answer

A. ( {1,2,3,4,6} )

Step 1

Concept

\(P=\{1,2,3,4\}\), so \(P\cup Q={1,2,3,4,6}\). Convert set-builder form to roster form first.

Step 2

Why this answer is correct

The correct answer is A. ( {1,2,3,4,6} ). \(P=\{1,2,3,4\}\), so \(P\cup Q={1,2,3,4,6}\). Convert set-builder form to roster form first.

Step 3

Exam Tip

\(P=\{1,2,3,4\}\) है, इसलिए \(P\cup Q={1,2,3,4,6}\) है। पहले set-builder form को roster form में बदलें।

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Question 5/600 Easy Mathematics Sets Operations on Sets (Union, Intersection, Difference) Class 11 Level 16

यदि \(A=\{5,10,15\}\) और \(B=\{20,25\}\) हैं, तो \(A\cap B\) क्या है?

If \(A=\{5,10,15\}\) and \(B=\{20,25\}\), what is \(A\cap B\)?

Explanation opens after your attempt
Correct Answer

A. \( \varnothing \)

Step 1

Concept

There is no common element, so \(A\cap B=\varnothing\). Such sets are disjoint sets.

Step 2

Why this answer is correct

The correct answer is A. \( \varnothing \). There is no common element, so \(A\cap B=\varnothing\). Such sets are disjoint sets.

Step 3

Exam Tip

दोनों समुच्चयों में कोई समान अवयव नहीं है, इसलिए \(A\cap B=\varnothing\) है। ऐसे समुच्चय असंयुक्त होते हैं।

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Question 6/600 Easy Mathematics Sets Operations on Sets (Union, Intersection, Difference) Class 11 Level 16

यदि \(X=\{1,3,5,7\}\) और \(Y=\{3,7,9\}\) हैं, तो (Y-X) ज्ञात कीजिए।

If \(X=\{1,3,5,7\}\) and \(Y=\{3,7,9\}\), find (Y-X).

Explanation opens after your attempt
Correct Answer

A. ( {9} )

Step 1

Concept

(Y-X) contains elements of (Y) that are not in (X). Here only (9) satisfies this.

Step 2

Why this answer is correct

The correct answer is A. ( {9} ). (Y-X) contains elements of (Y) that are not in (X). Here only (9) satisfies this.

Step 3

Exam Tip

(Y-X) में (Y) के वे अवयव हैं जो (X) में नहीं हैं। यहां (9) ही ऐसा अवयव है।

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Question 7/600 Easy Mathematics Sets Operations on Sets (Union, Intersection, Difference) Class 11 Level 16

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

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

Explanation opens after your attempt
Correct Answer

A. ( {1,2,3,4} )

Step 1

Concept

Union takes all distinct elements. Repetition is not needed in a set.

Step 2

Why this answer is correct

The correct answer is A. ( {1,2,3,4} ). Union takes all distinct elements. Repetition is not needed in a set.

Step 3

Exam Tip

संघ में सभी अलग-अलग अवयव लिए जाते हैं। दोहराव लिखना समुच्चय में आवश्यक नहीं होता।

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Question 8/600 Easy Mathematics Sets Operations on Sets (Union, Intersection, Difference) Class 11 Level 16

यदि \(A=\{2,3,5,7\}\), \(B=\{1,3,5,9\}\) और \(C=\{3,5,11\}\) हैं, तो \(A\cap B\cap C\) क्या है?

If \(A=\{2,3,5,7\}\), \(B=\{1,3,5,9\}\), and \(C=\{3,5,11\}\), what is \(A\cap B\cap C\)?

Explanation opens after your attempt
Correct Answer

A. ( {3,5} )

Step 1

Concept

The elements common to all three sets are (3) and (5). \(A\cap B\cap C\) contains only elements common to every set.

Step 2

Why this answer is correct

The correct answer is A. ( {3,5} ). The elements common to all three sets are (3) and (5). \(A\cap B\cap C\) contains only elements common to every set.

Step 3

Exam Tip

तीनों समुच्चयों में समान अवयव (3) और (5) हैं। \(A\cap B\cap C\) में केवल सभी में सामान्य अवयव आते हैं।

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Question 9/600 Easy Mathematics Sets Operations on Sets (Union, Intersection, Difference) Class 11 Level 16

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

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

Explanation opens after your attempt
Correct Answer

A. \( \varnothing \)

Step 1

Concept

Every element of (B) is in (A), so \(B-A=\varnothing\). If \(B\subset A\), then (B-A) may be empty.

Step 2

Why this answer is correct

The correct answer is A. \( \varnothing \). Every element of (B) is in (A), so \(B-A=\varnothing\). If \(B\subset A\), then (B-A) may be empty.

Step 3

Exam Tip

(B) का हर अवयव (A) में है, इसलिए \(B-A=\varnothing\) है। यदि \(B\subset A\), तो (B-A) खाली हो सकता है।

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Question 10/600 Easy Mathematics Sets Operations on Sets (Union, Intersection, Difference) Class 11 Level 16

यदि \(A\subseteq B\) है, तो \(A\cup B\) किसके बराबर होगा?

If \(A\subseteq B\), then \(A\cup B\) will be equal to what?

Explanation opens after your attempt
Correct Answer

A. (B)

Step 1

Concept

If \(A\subseteq B\), then (B) already contains all elements of (A). Therefore, \(A\cup B=B\).

Step 2

Why this answer is correct

The correct answer is A. (B). If \(A\subseteq B\), then (B) already contains all elements of (A). Therefore, \(A\cup B=B\).

Step 3

Exam Tip

यदि \(A\subseteq B\), तो (B) में (A) के सभी अवयव पहले से हैं। इसलिए \(A\cup B=B\) होता है।

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