Class 11 • Maths • Chapter 1
SETS
True & False Quiz
Define. Contain. Belong.
✓True
✗False
25
Questions
|
Ch.1
Chapter
|
XI
Class
Why True & False for SETS?
How this format sharpens your conceptual clarity
🔵 Sets form the foundation of all mathematics — every structure from functions to topology is built on set theory.
✅ True statements about subsets reveal valid logic; false ones expose misconceptions that cost exam marks.
🎯 CBSE tests Venn diagram properties, complement laws, and De Morgan's theorems — all true-false territory.
📋
Read each statement carefully. Click True or False — instant feedback with explanation appears. Submit anytime; unattempted questions are marked Skipped.
Q 1
A set is a well-defined collection of objects.
Q 2
The collection of all tall students in a class forms a set.
Q 3
The empty set contains no elements.
Q 4
The empty set is a subset of every set.
Q 5
If a set has n elements, then it has n subsets.
Q 6
If \(A = {1,2,3}\), then 2 ? A.
Q 7
If \(A = {1,2,3}\), then \({2} \in A\).
Q 8
Two sets are equal if they have the same number of elements.
Q 9
If A ? B and B ? A, then A = B.
Q 10
The universal set is always uniquely defined.
Q 11
The complement of a set A depends on the universal set.
Q 12
If A ? B, then \(A \cap B = A\).
Q 13
For any two sets A and B, \(A \cup B = B \cup A\).
Q 14
If \(A \cap B = \varnothing\), then A and B are equal sets.
Q 15
If A has 5 elements, then its power set has 32 elements.
Q 16
The power set of the empty set contains exactly one element.
Q 17
If \(A \cup B = A\), then B ? A.
Q 18
If \(A \cap B = A\), then A ? B.
Q 19
De Morgan’s law states \((A \cup B)' = A' \cup B'\).
Q 20
De Morgan’s laws hold for any number of sets.
Q 21
If A and B are finite sets, then \(n(A \cup B) = n(A) + n(B)\).
Q 22
If \(n(A)=n(B)=n(A\cap B)\), then A = B.
Q 23
If \(A \subset B\), then \(P(A) \subset P(B)\).
Q 24
If A has n elements, then the number of proper subsets of A is \(2^n - 1\).
Q 25
For finite sets A and B, if \(A \times B = B \times A\), then A = B.
Key Takeaways — SETS
Core facts for CBSE Boards & JEE
1
Every set is a subset of itself: A ⊆ A is always TRUE.
2
The empty set ∅ is a subset of EVERY set — without exception.
3
Power set of a set with n elements has exactly 2n subsets.
4
A ∩ A′ = ∅ and A ∪ A′ = U (Universal set) always hold.
5
De Morgan's: (A ∪ B)′ = A′ ∩ B′ — learn both laws precisely.
6
n(A ∪ B) = n(A) + n(B) − n(A ∩ B) — never omit the intersection term.