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Sets Relations and Functions Practice Questions

JEE · Mathematics · 1652 free MCQs with instant results and detailed explanations.

1652
Total
395
Easy
770
Medium
487
Hard

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Topics in Sets Relations and Functions

Types of Sets 235
Relations 162
Functions 183
Domain and Range 228
Venn Diagrams 148
Operations 210
Types of Functions 183
Composition 122
Inverse Functions 181

Sample Questions from Sets Relations and Functions

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

Q1
Easy
What is the union of sets A = {1, 2, 3} and B = {3, 4, 5}?
A. {1, 2, 3, 4, 5}
B. {3, 6}
C. {1, 2}
D. {4, 5}
Show Answer & Explanation
Correct Answer: A
The union of sets A and B includes all elements from both sets without duplication.
Q2
Easy
If set C = {x | x is a prime number less than 10}, what is C?
A. {2, 3, 5, 7}
B. {1, 2, 3}
C. {0, 1, 2}
D. {2, 4, 6, 8}
Show Answer & Explanation
Correct Answer: A
The prime numbers less than 10 are 2, 3, 5, and 7.
Q3
Easy
Which of the following sets is empty?
A. {}
B. {0}
C. {1, 2}
D. {x | x < 0 and x > 0}
Show Answer & Explanation
Correct Answer: A
The set {} contains no elements, hence it is an empty set.
Q4
Medium
If A = {1, 2, 3, 4} and B = {3, 4, 5, 6}, what is A ∩ B?
A. {3, 4}
B. {1, 2}
C. {5, 6}
D. {}
Show Answer & Explanation
Correct Answer: A
The intersection of two sets A and B includes all elements that are common to both sets.
Q5
Medium
Which of the following is a subset of the set {a, b, c}?
A. {a, b}
B. {d, e}
C. {a, d}
D. {}
Show Answer & Explanation
Correct Answer: A
A subset consists of any combination of elements from the original set. The empty set is also a subset.
Q6
Medium
If U = {1, 2, 3, 4, 5} is the universal set and A = {1, 2}, what is A'?
A. {3, 4, 5}
B. {1, 2}
C. {2, 3}
D. {}
Show Answer & Explanation
Correct Answer: A
The complement of A in the universal set U includes all elements in U that are not in A.
Q7
Medium
If A = {x | x is an even number less than 10}, what is A?
A. {0, 2, 4, 6, 8}
B. {2, 4, 6, 8, 10}
C. {1, 3, 5, 7, 9}
D. {1, 2, 3, 4, 5, 6, 7, 8, 9}
Show Answer & Explanation
Correct Answer: A
The set A defines all even numbers less than 10, which are 0, 2, 4, 6, and 8.
Q8
Hard
If A = {1, 2, 3, 4} and B = {2, 4, 6, 8}, what is A ∩ B?
A. {2, 4}
B. {1, 3}
C. {6, 8}
D. {1, 2, 3, 4, 6, 8}
Show Answer & Explanation
Correct Answer: A
The intersection A ∩ B includes all elements that are common to both sets A and B, which are 2 and 4.
Q9
Hard
Let A = {1, 2, 3} and B = {3, 4, 5}. What is A ∪ B?
A. {1, 2, 3, 4, 5}
B. {1, 3, 5}
C. {2, 4}
D. {3}
Show Answer & Explanation
Correct Answer: A
The union A ∪ B includes all elements from both sets without duplication: {1, 2, 3, 4, 5}.
Q10
Hard
If X = {a, b, c, d} and Y = {a, d, e, f}, what is X - Y?
A. {b, c}
B. {a, d}
C. {e, f}
D. {c, e, f}
Show Answer & Explanation
Correct Answer: A
The difference X - Y includes elements that are in X but not in Y: {b, c}.

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Sets Relations and Functions — JEE Mathematics Practice Questions Online

This page contains 1652 practice MCQs for the chapter Sets Relations and Functions in JEE Mathematics. The questions are organized by difficulty — 395 easy, 770 medium, 487 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 9 topics, giving you comprehensive coverage of the entire chapter.