Sets Class 11 Assertion Reason Questions Maths Chapter 1

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Hello students, we are providing assertion reason questions for class 11. Assertion Reason questions are the new question format that is introduced in CBSE board. The resources for assertion reason questions are very less. So, to help students we have created chapterwise assertion reason questions for class 11 maths. In this article, you will find assertion reason questions for CBSE Class 11 Maths Chapter 1 Sets. It is a part of Assertion Reason Questions for CBSE Class 11 Maths Series.

Chapter	Sets
Type of Questions	Assertion Reason Questions
Nature of Questions	Competency Based Questions
Board	CBSE
Class	11
Subject	Maths
Useful for	Class 11 Studying Students
Answers provided	Yes
Difficulty level	Mentioned
Important Link	Class 11 Maths Chapterwise Assertion Reason

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Table of Contents

Assertion Reason Questions on Sets

Assertion Reason Questions

Directions:
Each of the following questions consists of two statements: an Assertion (A) and a Reason (R). Answer them by selecting the correct option:
(a) Both Assertion (A) and Reason (R) are true, and Reason (R) is the correct explanation of Assertion (A).
(b) Both Assertion (A) and Reason (R) are true, but Reason (R) is not the correct explanation of Assertion (A).
(c) Assertion (A) is true, but Reason (R) is false.
(d) Assertion (A) is false, but Reason (R) is true.

Q1. Assertion (A): The empty set is a subset of every set.
Reason (R): A set with no element is called a null set.

Ans. Option (A) is correct.
Explanation: Both statements are true and the reason directly supports the assertion. An empty set contains no elements, so it is trivially a subset of all sets.

Q2. Assertion (A): If $A \subset B$ and $B \subset A$, then $A=B$.
Reason (R): Two sets are equal if and only if they have exactly the same elements.

Ans. Option (A) is correct.
Explanation: This is a well-known set theory result. Both statements are true and the reason perfectly explains the assertion.

Q3. Assertion (A): The intersection of two disjoint sets is always a null set.
Reason (R): Disjoint sets have no common elements.

Ans. Option (A) is correct.
Explanation: The reason is a direct explanation of the assertion and both are correct.

Q4. Assertion (A): The power set of a set with $n$ elements has $2^n$ elements.
Reason (R): The power set is the set of all proper subsets of a set.

Ans. Option (C) is correct.
Explanation: The assertion is true, but the reason is false. The power set includes all subsets (not just proper subsets).

Q5. Assertion (A): If $A=\{1,2,3\}$ and $B=\{3,4,5\}$, then $A \cup B=\{1,2,3,4,5\}$.
Reason $(R)$ : The union of two sets contains all elements from both sets without repetition.

Ans. Option (A) is correct.
Explanation: Both are correct, and the reason clearly explains the logic behind union operation.

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Topics from which assertion reason questions may be asked

Representation of Sets
Types of Sets
Venn Diagrams
Operations on Sets

Set theory forms the foundation of modern mathematics and logic.

Assertion reason questions from the above given topic may be asked.

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Frequently Asked Questions (FAQs) on Sets Assertion Reason Questions Class 11

Q1: What does the chapter ‘Sets’ cover?

A1: It introduces and builds core mathematical concepts related to sets.

Q2: What are assertion reason questions?

A2: These consist of an assertion and a reason. Students evaluate both statements and their relationship.

Q3: Why solve assertion reason questions from Sets?

A3: They enhance understanding and critical thinking around the chapteru2019s key concepts.

Q4: Are these questions helpful for CBSE exams?

A4: Yes, they are competency-based and part of CBSEu2019s exam structure.