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Sets Practice Questions

Class 11 · Mathematics · 1518 free MCQs with instant results and detailed explanations.

1518
Total
560
Easy
737
Medium
221
Hard

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Topics in Sets

Complement 403
Types of Sets 489
Operations on Sets 408
Venn Diagrams 218

Sample Questions from Sets

Here are 10 sample questions. Start a quiz to get randomized questions with scoring.

Q1
Easy
Which of the following represents a null set?
A. {}
B. {0}
C. {1, 2, 3}
D. {x | x > 5 and x < 4}
Show Answer & Explanation
Correct Answer: A
A null set is a set that contains no elements, represented by {}, which is the correct answer.
Q2
Easy
If A = {1, 2, 3} and B = {2, 3, 4}, what is A ∩ B?
A. {1, 2, 3, 4}
B. {2, 3}
C. {1, 4}
D. {}
Show Answer & Explanation
Correct Answer: B
A ∩ B represents the intersection of sets A and B, which contains elements common to both sets, here {2, 3}.
Q3
Easy
Which of the following is a finite set?
A. {x | x is a prime number}
B. {1, 2, 3, 4, 5}
C. {x | x is a natural number}
D. The set of all integers
Show Answer & Explanation
Correct Answer: B
A finite set has limited elements, and {1, 2, 3, 4, 5} clearly has five elements.
Q4
Medium
Which of the following sets is an empty set?
A. Set of all natural numbers less than 1
B. Set of all even prime numbers
C. Set of all squares of integers
D. Set of all integers
Show Answer & Explanation
Correct Answer: A
The set of all natural numbers less than 1 is empty, as natural numbers start from 1.
Q5
Medium
If A = {x | x is an even integer}, and B = {x | x is an odd integer}, what is A ∩ B?
A. {}
B. {0}
C. {1}
D. {2, 3, 4}
Show Answer & Explanation
Correct Answer: A
The intersection of set A (even integers) and set B (odd integers) is empty, as there are no integers that are both even and odd.
Q6
Medium
If S is the set of all vowels in the English alphabet, which of the following is a subset of S?
A. {a, e, i, o, u}
B. {b, c, d}
C. {a, b, e}
D. {x, y, z}
Show Answer & Explanation
Correct Answer: A
The set {a, e, i, o, u} contains all the vowels and is thus a subset of S.
Q7
Medium
If U = {1, 2, 3, 4, 5} and A = {2, 4}, what is A' (the complement of A)?
A. {1, 3, 5}
B. {2, 4}
C. {2, 3, 4, 5}
D. {1, 2, 4, 5}
Show Answer & Explanation
Correct Answer: A
The complement of A (A') consists of all elements in U that are not in A, which are {1, 3, 5}.
Q8
Hard
Let A = {x | x is an integer, 1 ≤ x ≤ 10}, B = {x | x is an integer, 5 ≤ x ≤ 15}. What is A - B?
A. {1, 2, 3, 4}
B. {1, 2, 3, 4, 5}
C. {6, 7, 8, 9, 10}
D. {5, 6, 7, 8, 9, 10}
Show Answer & Explanation
Correct Answer: A
The difference A - B consists of elements in A that are not in B. The only integers in A that are not present in B are {1, 2, 3, 4}.
Q9
Hard
If set A has 5 elements and set B has 3 elements, what is the maximum number of distinct elements in A ∪ B?
A. 8
B. 5
C. 3
D. 15
Show Answer & Explanation
Correct Answer: A
The maximum number of distinct elements in A ∪ B occurs when there are no common elements, so the total will be the sum of elements in A and B: 5 + 3 = 8.
Q10
Hard
Let A = {x | x is a prime number less than 20} and B = {x | x is an even number between 1 and 20}. What is A ∩ B?
A. {2}
B. {2, 4, 6, 8, 10, 12, 14, 16, 18}
C. {2, 3, 5, 7, 11, 13, 17, 19}
D. {3, 5, 7, 11, 13, 17, 19}
Show Answer & Explanation
Correct Answer: A
The set A consists of prime numbers {2, 3, 5, 7, 11, 13, 17, 19} and set B consists of even numbers. The only even prime number is 2, hence A ∩ B = {2}.

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Sets — Class 11 Mathematics Practice Questions Online

This page contains 1518 practice MCQs for the chapter Sets in Class 11 Mathematics. The questions are organized by difficulty — 560 easy, 737 medium, 221 hard — so you can choose the right level for your preparation.

Every question includes a detailed explanation to help you understand the concept, not just memorize answers. Take a timed quiz to simulate exam conditions, or practice at your own pace with no time limit. This chapter covers 4 topics, giving you comprehensive coverage of the entire chapter.