Sets Case Study Questions Class 11 Maths Chapter 1

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Last Updated on July 22, 2025 by XAM CONTENT

Hello students, we are providing case study questions for class 11 Maths. Case study questions are the new question format that is introduced in CBSE board. The resources for case study questions are very less. So, to help students we have created chapterwise case study questions for class 11 Maths. In this article, you will find case study questions for cbse class 11 Maths chapter 1 Sets.

Chapter	Sets
Type of Questions	Case Study 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 Case Study

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Table of Contents

Case Study Questions on Sets

Case Study:
In a school, students can participate in Chess club (\(C\)), Music club (\(M\)), or both. Out of 60 students, 32 participate in Chess club, 25 in Music club, and 10 participate in both.

Questions:

How many students participate in exactly one of the two clubs?
How many students do not participate in any club?
Represent the above information using a Venn diagram (describe it in words).

Solutions:

1. Students in exactly one club:

\[ \text{Only Chess} = n(C) – n(C \cap M) = 32 – 10 = 22 \] \[ \text{Only Music} = n(M) – n(C \cap M) = 25 – 10 = 15 \] \[ \text{Total in exactly one club} = 22 + 15 = \boxed{37} \]

2. Students not in any club:

\[ n(C \cup M) = n(C) + n(M) – n(C \cap M) = 32 + 25 – 10 = 47 \] \[ \text{Not in any club} = 60 – 47 = \boxed{13} \]

3. Venn diagram description:

Draw two overlapping circles labeled \( C \) (Chess) and \( M \) (Music).
The overlapping part has 10 students (both clubs).
The part of \( C \) only has 22 students.
The part of \( M \) only has 15 students.
Outside both circles: 13 students (neither club).

We hope the given case study questions for Sets Class 11 helps you in your learning.

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Topics from which case study questions may be asked

Concept of sets (finite, infinite, equal, null)
Subset and superset relations
Power set and number of subsets
Operations on sets (union, intersection, difference)
Venn diagram representations
Complement of a set

Sets form the basic building blocks of mathematics, and understanding operations on them is crucial for higher-level concepts like functions and relations.

Frequently Asked Questions (FAQs) on Sets Case Study Questions

Q1: What is a case study question in mathematics?

A1: A case study question in mathematics is a problem or set of problems based on a real-life scenario or application. It requires students to apply their understanding of mathematical concepts to analyze, interpret, and solve the given situation.

Q2: How should students tackle case study questions in exams?

A2: To tackle case study questions effectively, students should:
Read the problem carefully: Understand the scenario and identify the mathematical concepts involved.
Break down the problem: Divide the case study into smaller parts to manage the information better.
Apply relevant formulas and theorems: Use the appropriate mathematical tools to solve each part of the problem.

Q3: Why are case study questions included in the Class 11 Maths curriculum?

A3: Case study questions are included to bridge the gap between theoretical knowledge and practical application. They help students see the relevance of what they are learning and prepare them for real-life situations where they may need to use these mathematical concepts.

Q4: Are there any online resources or tools available for practicing “Sets” case study questions?

A12: We provide case study questions for CBSE Class 11 Maths on our website. Students can visit the website and practice sufficient case study questions and prepare for their exams. If you need more case study questions, then you can visit Physics Gurukul website. they are having a large collection of case study questions for all classes.