Chapter 1: Sets — Online MCQ Test
MATHS · CLASS 11 INTER I YEAR · Andhra State Board
Practice Chapter 1: Sets with a free chapter-wise online MCQ test.
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.
Chapter 1: Sets — Important Questions & Answers
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.
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.
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.
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.
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?
- A. A ∪ (B ∩ C) = (A ∪ B) ∩ (A ∪ C)
- B. A - B = B - A
- C. A ∪ B = A ∩ B implies A = B
- D. If A ∩ B = ∅, then A and B have no relation
Answer: A. A ∪ (B ∩ C) = (A ∪ B) ∩ (A ∪ C)
This is the distributive property of union over intersection, a fundamental law in set theory.
This is the distributive property of union over intersection, a fundamental law in set theory.