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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 521 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 41/600 Easy Mathematics Sets Operations on Sets (Union, Intersection, Difference) Class 11 Level 16

यदि \(A-B=\varnothing\) है, तो कौन-सा निष्कर्ष सही है?

If \(A-B=\varnothing\), which conclusion is correct?

Explanation opens after your attempt
Correct Answer

A. \(A\subseteq B\)

Explanation

Simple Explanation

\(A-B=\varnothing\) का अर्थ है कि (A) का हर अवयव (B) में है। इसलिए \(A\subseteq B\) है। / \(A-B=\varnothing\) means every element of (A) is in (B). Therefore \(A\subseteq B\).

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Question 42/600 Easy Mathematics Sets Operations on Sets (Union, Intersection, Difference) Class 11 Level 16

यदि \(A\cap B=A\) है, तो कौन-सा निष्कर्ष सही है?

If \(A\cap B=A\), which conclusion is correct?

Explanation opens after your attempt
Correct Answer

A. \(A\subseteq B\)

Explanation

Simple Explanation

\(A\cap B=A\) बताता है कि (A) के सभी अवयव (B) में भी हैं। इसलिए \(A\subseteq B\) है। / \(A\cap B=A\) shows that all elements of (A) are also in (B). Hence \(A\subseteq B\).

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Question 43/600 Easy Mathematics Sets Operations on Sets (Union, Intersection, Difference) Class 11 Level 16

यदि \(A\cup B=A\) है, तो कौन-सा निष्कर्ष सही है?

If \(A\cup B=A\), which conclusion is correct?

Explanation opens after your attempt
Correct Answer

A. \(B\subseteq A\)

Explanation

Simple Explanation

\(A\cup B=A\) का अर्थ है कि (B) के सभी अवयव (A) में पहले से हैं। अतः \(B\subseteq A\) है। / \(A\cup B=A\) means all elements of (B) are already in (A). Hence \(B\subseteq A\).

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Question 44/600 Easy Mathematics Sets Operations on Sets (Union, Intersection, Difference) Class 11 Level 16

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

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

Explanation opens after your attempt
Correct Answer

A. ( {1,3,5} )

Explanation

Simple Explanation

(A) से (B) के अवयव (2) और (4) हटते हैं। इसलिए \(C=\{1,3,5\}\) है। / Elements (2) and (4) of (B) are removed from (A). Therefore \(C=\{1,3,5\}\).

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Question 45/600 Easy Mathematics Sets Operations on Sets (Union, Intersection, Difference) Class 11 Level 16

कक्षा में क्रिकेट खेलने वाले छात्रों का समुच्चय \(C=\{Amit,Ravi,Sita\}\) और फुटबॉल खेलने वाले छात्रों का समुच्चय \(F=\{Ravi,Neha\}\) है। दोनों खेलों में कौन है?

In a class, the set of students playing cricket is \(C=\{Amit,Ravi,Sita\}\) and the set of students playing football is \(F=\{Ravi,Neha\}\). Who plays both games?

Explanation opens after your attempt
Correct Answer

A. ( {Ravi} )

Explanation

Simple Explanation

दोनों खेलों में आने वाला नाम \(C\cap F\) में होगा। यहां \(C\cap F={Ravi}\) है। / The name present in both games belongs to \(C\cap F\). Here \(C\cap F={Ravi}\).

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Question 46/600 Easy Mathematics Sets Operations on Sets (Union, Intersection, Difference) Class 11 Level 16

एक पुस्तकालय में हिंदी पुस्तकें \(H={h_1,h_2,h_3}\) और अंग्रेजी पुस्तकें \(E={h_3,e_1,e_2}\) हैं। कम से कम एक श्रेणी की पुस्तकों का समुच्चय कौन-सा है?

In a library, Hindi books are \(H={h_1,h_2,h_3}\) and English books are \(E={h_3,e_1,e_2}\). Which set represents books in at least one category?

Explanation opens after your attempt
Correct Answer

A. \(H\cup E={h_1,h_2,h_3,e_1,e_2}\)

Explanation

Simple Explanation

कम से कम एक श्रेणी का अर्थ संघ होता है। इसलिए उत्तर \(H\cup E\) है। / At least one category means union. Therefore the answer is \(H\cup E\).

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Question 47/600 Easy Mathematics Sets Operations on Sets (Union, Intersection, Difference) Class 11 Level 16

\(यदि (A={x:x\) is a factor of \(12}) और (B={x:x\) is a factor of \(18}) हैं, तो (A\cap B) क्या है\)?

\(If (A={x:x\) is a factor of \(12}) and (B={x:x\) is a factor of \(18}), what is (A\cap B)\)?

Explanation opens after your attempt
Correct Answer

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

Explanation

Simple Explanation

(12) और (18) के समान गुणनखंड (1,2,3,6) हैं। अतः \(A\cap B={1,2,3,6}\) है। / The common factors of (12) and (18) are (1,2,3,6). Hence \(A\cap B={1,2,3,6}\).

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Question 48/600 Easy Mathematics Sets Operations on Sets (Union, Intersection, Difference) Class 11 Level 16

\(यदि (A={x:x\) is a factor of \(10}) और (B={x:x\) is a factor of \(15}) हैं, तो (A\cup B) क्या है\)?

\(If (A={x:x\) is a factor of \(10}) and (B={x:x\) is a factor of \(15}), what is (A\cup B)\)?

Explanation opens after your attempt
Correct Answer

A. ( {1,2,3,5,10,15} )

Explanation

Simple Explanation

\(A=\{1,2,5,10\}\) और \(B=\{1,3,5,15\}\) है। संघ में सभी अलग-अलग अवयव ({1,2,3,5,10,15}) होंगे। / \(A=\{1,2,5,10\}\) and \(B=\{1,3,5,15\}\). The union contains all distinct elements ({1,2,3,5,10,15}).

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Question 49/600 Easy Mathematics Sets Operations on Sets (Union, Intersection, Difference) Class 11 Level 16

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

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

Explanation opens after your attempt
Correct Answer

A. ( {2,5} )

Explanation

Simple Explanation

पहले \(B\cup C={2,4,5,6,8}\) निकालें। फिर (A) से सामान्य अवयव (2) और (5) मिलते हैं। / First find \(B\cup C={2,4,5,6,8}\). Then the common elements with (A) are (2) and (5).

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Question 50/600 Easy Mathematics Sets Operations on Sets (Union, Intersection, Difference) Class 11 Level 16

यदि \(A=\{10,20,30,40\}\), \(B=\{20,50\}\) और \(C=\{30,60\}\) हैं, तो (A-\(B\cup C\)) क्या है?

If \(A=\{10,20,30,40\}\), \(B=\{20,50\}\), and \(C=\{30,60\}\), what is (A-\(B\cup C\))?

Explanation opens after your attempt
Correct Answer

A. ( {10,40} )

Explanation

Simple Explanation

\(B\cup C={20,30,50,60}\) है। (A) से (20) और (30) हटाने पर ({10,40}) बचता है। / \(B\cup C={20,30,50,60}\). Removing (20) and (30) from (A) leaves ({10,40}).

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