Chapter Exam

Chapter 1: Sets — Online MCQ Test

Q: Which of the following is the definition of an empty set?

Answer: B. A set with no elements — An empty set, denoted by ∅ or {}, is a set that contains no elements.

Q: What symbol is used to denote an empty set?

Answer: C. ∅ — The symbol ∅ (or sometimes { }) represents an empty set.

Q: Which of the following is true for any set A?

Answer: D. Both B and C are true — The empty set is a subset of every set, and every set is a subset of itself.

Q: Which of the following is NOT a property of complement?

Answer: D. A' = A — A' = A is generally false except for the case where A is empty or universal. The other three are fundamental complement properties.

Q: Which of the following statements is true for all sets A, B, and C?

Answer: A. A ∪ (B ∩ C) = (A ∪ B) ∩ (A ∪ C) — This is the distributive property of union over intersection, a fundamental law in set theory.

MATHS · CLASS 11 FIRST PUC · Karnataka State Board

Practice Chapter 1: Sets with a free chapter-wise online MCQ test for Karnataka State Board CLASS 11 FIRST PUC MATHS. This chapter covers: Sets and Their Representations Empty Set Finite and Infinite Sets Equal Sets Subsets Subsets of a set of real numbers especially intervals (with.... AI-generated questions from basic to board-exam level, with instant results and explanations.

Questions

20m

Time Limit

Attempts Left

10 random questions from this chapter (mixed difficulty)
Questions you've seen before won't repeat until the pool resets
You have 20 minutes — exam auto-submits when time is up
Maximum 3 attempts per chapter
Results and explanations shown immediately after submission

New here? Register free — includes 3 free chapter exams.

Chapter 1: Sets — Important Questions & Answers (FAQ)

Frequently asked questions from Karnataka State Board CLASS 11 FIRST PUC MATHS — Chapter 1: Sets, with answers and explanations. These are sample questions; the exam has its own separate question set.

Which of the following is the definition of an empty set?

A. A set with one element
B. A set with no elements ✓
C. A set with infinite elements
D. A set with undefined elements

Answer: B. A set with no elements
An empty set, denoted by ∅ or {}, is a set that contains no elements.

What symbol is used to denote an empty set?

A. ⊂
B. ∪
C. ∅ ✓
D. ∩

Answer: C. ∅
The symbol ∅ (or sometimes { }) represents an empty set.

Which of the following is true for any set A?

A. A ⊂ A
B. ∅ ⊂ A
C. A ⊆ A
D. Both B and C are true ✓

Answer: D. Both B and C are true
The empty set is a subset of every set, and every set is a subset of itself.

Which of the following is NOT a property of complement?

A. (A')' = A
B. A ∪ A' = U
C. A ∩ A' = ∅
D. A' = A ✓

Answer: D. A' = A
A' = A is generally false except for the case where A is empty or universal. The other three are fundamental complement properties.

Which of the following statements is true for all sets A, B, and C?