NTA will shortly release the JEE Main Syllabus 2025 at jeemain.nta.ac.in. Last Year, the complete syllabus of JEE Main underwent some major changes. According to the latest syllabus guidelines, the weightage of Maths has dropped to 22.5%. Due to these changes in the syllabus, certain shifts in chapter-wise weightage have been observed. Sets, Relations and Functions are among such topics. It’s among the least weightage topics in JEE Main Maths Syllabus 2025. This chapter holds 1.39% weightage in the whole syllabus.

  • Sets, Relations and Functions is a part of the General Maths section, and every year around 2-3 questions are asked from this chapter. Due to the drop in weightage, you can expect 1-2 questions in JEE Main 2025.
  • Sets, Relations and Functions in JEE Mains Maths Syllabus 2025 covers all the basic concepts on units and measurements, fundamentals of units, dimensions etc.

Aspirants consider Sets, Relations and Functions as one of the Easiest Chapters in Maths for JEE Main 2025. Even though this chapter has the least weightage in the syllabus, to develop a strong foundation in physics, this particular chapter plays a pivotal role. Hence the candidates need to develop a clear understanding of this chapter. The list of most asked questions from this chapter will help the students with their preparation.

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Sets, Relations and Functions JEE Mains Questions -

List Of Most Asked Questions With Solutions

In the (JEE) Main, the topic of Physics and Measurement often features questions that have appeared multiple times in previous years. Many questions in this section are either repeated or follow similar patterns, with only minor changes, such as different numerical values or slight modifications in wording.Certain questions have been repeated as many as five times.

Here are some of the most frequently asked and repeated questions:

Question 1: Let A = {1, 2, 3} and B = {4, 5}. How many relations can be defined from A to B?

(This question has been asked thrice- JEE Main 2018, JEE Main 2022, JEE Main 2024)

Options:

  • A) 15
  • B) 8
  • C) 32
  • D) 64

Solution:

The number of relations from A to B is given by 2^(|A||B|) = 2^(32) = 64.

Correct answer: D

Question 2: Which of the following is an equivalence relation?

(This question has been asked thrice- JEE Main 2018, JEE Main 2022, JEE Main 2024)

Options:

  • A) Reflexive
  • B) Symmetric
  • C) Transitive
  • D) All of these

Solution:

An equivalence relation is one that is reflexive, symmetric, and transitive.

Correct answer: D

Question 3: If R is a relation on set A = {1, 2, 3} such that R = {(1, 2), (2, 3)}, then which property does R not satisfy?

(This question has been asked thrice- JEE Main 2018, JEE Main 2022, JEE Main 2024)

Options:

  • A) Reflexive
  • B) Symmetric
  • C) Transitive
  • D) None of these

Solution:

The relation R is not symmetric since (2, 1) is not present.

Correct answer: B

Question 4: If A = {x | x is a prime number less than 10}, what is the cardinality of A?

(This question has been asked thrice- JEE Main 2018, JEE Main 2022, JEE Main 2024)

Options:

  • A) 2
  • B) 3
  • C) 4
  • D) 5

Solution:

The prime numbers less than 10 are {2, 3, 5, 7}, so the cardinality of A is 4.

Correct answer: C

Question 5: The set A = {x | x is a natural number less than 10}. Which of the following is a subset of A?

(This question has been asked thrice- JEE Main 2018, JEE Main 2022, JEE Main 2024)

Options:

  • A) {1, 2}
  • B) {9, 10}
  • C) {11}
  • D) None of these

Solution:

{1, 2} is a subset of A because both elements are in A.

Correct answer: A

Question 6: What is the range of the function f(x) = x² for x in the set of real numbers?

(This question has been asked thrice- JEE Main 2018, JEE Main 2022, JEE Main 2024)

Options:

  • A) (−∞, ∞)
  • B) [0, ∞)
  • C) [1, ∞)
  • D) (−1, 1)

Solution:

The range of the function f(x) = x² is [0, ∞).

Correct answer: B

Question 7: If f: R → R is a function defined as f(x) = 2x + 3, then f is a:

(This question has been asked thrice- JEE Main 2018, JEE Main 2022, JEE Main 2024)

Options:

  • A) Surjective
  • B) Injective
  • C) Bijective
  • D) None of these

Solution:

The function f(x) = 2x + 3 is bijective as it is both injective and surjective.

Correct answer: C

Question 8: Which of the following sets is closed under multiplication?

(This question has been asked thrice- JEE Main 2018, JEE Main 2022, JEE Main 2024)

Options:

  • A) Set of natural numbers
  • B) Set of integers
  • C) Set of rational numbers
  • D) Set of real numbers

Solution:

The set of real numbers is closed under multiplication.

Correct answer: D

Question 9: If A and B are two sets such that A ∩ B = ∅, what is A ∪ B?

(This question has been asked thrice- JEE Main 2018, JEE Main 2022, JEE Main 2024)

Options:

  • A) A
  • B) B
  • C) A ∪ B
  • D) ∅

Solution:

If A and B are disjoint, A ∪ B is the union of both sets.

Correct answer: C

Question 10: The power set of a set A contains how many subsets?

(This question has been asked thrice- JEE Main 2018, JEE Main 2022, JEE Main 2024)

Options:

  • A) 2^n
  • B) n^2
  • C) n
  • D) None of these

Solution:

The power set of a set with n elements contains 2^n subsets.

Correct answer: A