Class 11 Mathematics — Chapter 1: Sets
68 practice questions · 23 Easy · 23 Medium · 22 Hard
Practise Class 11 Mathematics Chapter 1, "Sets", with 68 NCERT-aligned multiple-choice questions. The set is split into 23 Easy, 23 Medium and 22 Hard questions, so you can warm up on the fundamentals and then push into the exam-level problems that separate top scorers in CBSE Board exams, JEE Main and JEE Advanced.
"Sets" is one of the chapters where problem-solving speed, formula recall and step-by-step reasoning really pays off. Each MCQ on this chapter is timed and uses exam-grade marking (+2 correct, −1 wrong, 0 skipped), training the same accuracy-under-pressure that real papers demand. Every question carries a short explanation, so a wrong answer becomes a quick lesson rather than a dead end — the fastest way to close gaps before a test.
Use this chapter as targeted revision: attempt the Easy set first to confirm your basics on Sets, then move to Medium and Hard to test application and problem-solving. Your accuracy, streaks and XP save automatically, and the chapter feeds into your overall Class 11 Mathematics mastery score. A few sample questions are shown below; sign in free to practise all 68.
Key concepts: Sets (Class 11 Mathematics)
This chapter introduces sets and their representations, types of sets, subsets, Venn diagrams, and operations on sets with their properties.
- Set & representation
- A well-defined collection of objects; written in roster (listing) or set-builder form.
- Types of sets
- Empty, finite/infinite, equal, subset, power set and universal set.
- Set operations
- Union (∪), intersection (∩), difference (−) and complement (A') — visualised with Venn diagrams.
- Laws of operations
- Commutative, associative, distributive and De Morgan's laws govern set operations.
- Cardinality formula
- For finite sets, n(A∪B) = n(A) + n(B) − n(A∩B).
Key formulas — Sets
💡 Exam tips for Sets
- A set with n elements has 2ⁿ subsets and 2ⁿ − 1 proper subsets.
- Use the n(A∪B) formula (or a Venn diagram) for counting problems with overlaps.
Sample questions
The empty set is denoted by:
Empty set has no elements; written as ∅ or { }.
If A = {1, 2, 3} and B = {3, 4, 5}, then A ∪ B is:
Union = all elements in either set (no repeats).
In a class of 50 students, 30 like Maths and 25 like Physics; 10 like both. Number who like neither is:
n(M ∪ P) = 30 + 25 − 10 = 45. Neither = 50 − 45 = 5.
Sets — FAQs
What are the key concepts in Class 11 Mathematics Sets?+
This chapter introduces sets and their representations, types of sets, subsets, Venn diagrams, and operations on sets with their properties. Key ideas include Set & representation, Types of sets, Set operations, Laws of operations, Cardinality formula.
What does Class 11 Mathematics Chapter 1 (Sets) cover on XamBaaz?+
It covers 68 NCERT-aligned MCQs on "Sets" — 23 Easy, 23 Medium and 22 Hard — each with a timed quiz and an instant explanation, suitable for CBSE Board exams, JEE Main and JEE Advanced.
Are these "Sets" questions free to practise?+
Yes — sign in with Google to practise "Sets" free. Full unlimited access is ₹999/year (limited-time launch price), with no per-chapter charges.
How should I revise "Sets" for the exam?+
Start with the Easy quiz to confirm your fundamentals, then attempt Medium and Hard for application-level practice. Review each explanation, retry the questions you miss, and track your accuracy on this chapter until it is consistently high.
Practise all 68 questions free
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