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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 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 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 261/600 Medium Mathematics Sets Operations on Sets (Union, Intersection, Difference) Class 11 Level 18

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

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

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Correct Answer

A. ( {4,5} )

Explanation

Simple Explanation

पहले \(A\cup B={1,2,3,4,5}\) है। इसका (C) से सामान्य भाग ({4,5}) है। / First \(A\cup B={1,2,3,4,5}\). Its common part with (C) is ({4,5}).

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Question 262/600 Medium Mathematics Sets Operations on Sets (Union, Intersection, Difference) Class 11 Level 18

यदि \(A=\{1,4,9,16,25\}\) और \(B=\{2,4,8,16,32\}\), तो \((A-B)\cup(B-A)\) क्या है?

If \(A=\{1,4,9,16,25\}\) and \(B=\{2,4,8,16,32\}\), what is \((A-B)\cup(B-A)\)?

Explanation opens after your attempt
Correct Answer

B. ( {1,2,8,9,25,32} )

Explanation

Simple Explanation

(A-B={1,9,25}) और (B-A={2,8,32}) है। दोनों का संघ ({1,2,8,9,25,32}) है। / (A-B={1,9,25}) and (B-A={2,8,32}). Their union is ({1,2,8,9,25,32}).

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Question 263/600 Medium Mathematics Sets Operations on Sets (Union, Intersection, Difference) Class 11 Level 18

यदि \(A=\{1,3,5,7,9\}\), \(B=\{2,3,5,8\}\) और \(C=\{3,4,5,6\}\) है, तो (A-\(B\cap C\)) क्या है?

If \(A=\{1,3,5,7,9\}\), \(B=\{2,3,5,8\}\), and \(C=\{3,4,5,6\}\), what is (A-\(B\cap C\))?

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Correct Answer

A. ( {1,7,9} )

Explanation

Simple Explanation

\(B\cap C={3,5}\) है। इन्हें (A) से हटाने पर ({1,7,9}) मिलता है। / \(B\cap C={3,5}\). Removing these from (A) gives ({1,7,9}).

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Question 264/600 Medium Mathematics Sets Operations on Sets (Union, Intersection, Difference) Class 11 Level 18

यदि (n(A)=18), (n(B)=14) और (n\(A\cap B\)=6), तो (n\(A\cup B\)) क्या है?

If (n(A)=18), (n(B)=14), and (n\(A\cap B\)=6), what is (n\(A\cup B\))?

Explanation opens after your attempt
Correct Answer

A. (26)

Explanation

Simple Explanation

सूत्र (n\(A\cup B\)=n(A)+n(B)-n\(A\cap B\)) लगाइए। इसलिए (18+14-6=26)। / Use (n\(A\cup B\)=n(A)+n(B)-n\(A\cap B\)). Thus (18+14-6=26).

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Question 265/600 Medium Mathematics Sets Operations on Sets (Union, Intersection, Difference) Class 11 Level 18

यदि (n\(A\cup B\)=45), (n(A)=28) और (n(B)=25), तो (n\(A\cap B\)) ज्ञात कीजिए।

If (n\(A\cup B\)=45), (n(A)=28), and (n(B)=25), find (n\(A\cap B\)).

Explanation opens after your attempt
Correct Answer

A. (8)

Explanation

Simple Explanation

(n\(A\cap B\)=n(A)+n(B)-n\(A\cup B\)) है। इसलिए (28+25-45=8)। / (n\(A\cap B\)=n(A)+n(B)-n\(A\cup B\)). Therefore (28+25-45=8).

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Question 266/600 Medium Mathematics Sets Operations on Sets (Union, Intersection, Difference) Class 11 Level 18

एक कक्षा में (30) विद्यार्थी गणित, (22) विद्यार्थी भौतिकी और (12) विद्यार्थी दोनों पढ़ते हैं। कम से कम एक विषय पढ़ने वाले विद्यार्थियों की संख्या क्या है?

In a class, (30) students study Mathematics, (22) students study Physics, and (12) students study both. How many students study at least one subject?

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Correct Answer

A. (40)

Explanation

Simple Explanation

कम से कम एक का अर्थ \(M\cup P\) है। संख्या (30+22-12=40) होगी। / At least one means \(M\cup P\). The number is (30+22-12=40).

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Question 267/600 Medium Mathematics Sets Operations on Sets (Union, Intersection, Difference) Class 11 Level 18

\(यदि (A={x:x\in \mathbb{Z}, -2\le x\le 4}) और (B={x:x\in \mathbb{Z}, x\) विषम है\(}) है, तो (A\cap B) क्या है\)?

\(If (A={x:x\in \mathbb{Z}, -2\le x\le 4}) and (B={x:x\in \mathbb{Z}, x\) is odd\(}), what is (A\cap B)\)?

Explanation opens after your attempt
Correct Answer

A. ( {-1,1,3} )

Explanation

Simple Explanation

(A) में (-2) से (4) तक के पूर्णांक हैं। इनमें विषम पूर्णांक (-1,1,3) हैं। / (A) contains integers from (-2) to (4). The odd integers among them are (-1,1,3).

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Question 268/600 Medium Mathematics Sets Operations on Sets (Union, Intersection, Difference) Class 11 Level 18

यदि (A=[1,5]) और (B=[3,8]), तो \(A\cap B\) कौन-सा अंतराल है?

If (A=[1,5]) and (B=[3,8]), which interval is \(A\cap B\)?

Explanation opens after your attempt
Correct Answer

B. ( [3,5] )

Explanation

Simple Explanation

दोनों अंतरालों में सामान्य भाग (3) से (5) तक है। बंद सिरों को ध्यान से रखें। / The common part of both intervals is from (3) to (5). Keep closed endpoints carefully.

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Question 269/600 Medium Mathematics Sets Operations on Sets (Union, Intersection, Difference) Class 11 Level 18

यदि (A=(2,7)) और (B=[5,9]), तो \(A\cup B\) क्या होगा?

If (A=(2,7)) and (B=[5,9]), what is \(A\cup B\)?

Explanation opens after your attempt
Correct Answer

A. ( (2,9] )

Explanation

Simple Explanation

दोनों अंतराल (5) से (7) के बीच जुड़ते हैं। (2) शामिल नहीं और (9) शामिल है, इसलिए ((2,9]) सही है। / The intervals overlap between (5) and (7). Since (2) is not included and (9) is included, ((2,9]) is correct.

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Question 270/600 Medium Mathematics Sets Operations on Sets (Union, Intersection, Difference) Class 11 Level 18

यदि (A=[0,6]) और (B=(2,4)), तो (A-B) क्या है?

If (A=[0,6]) and (B=(2,4)), what is (A-B)?

Explanation opens after your attempt
Correct Answer

A. \( [0,2]\cup[4,6] \)

Explanation

Simple Explanation

(B=(2,4)) में (2) और (4) शामिल नहीं हैं। इसलिए (A-B) में (2) और (4) रहेंगे। / (B=(2,4)) does not include (2) and (4). So (2) and (4) remain in (A-B).

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