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Sets, Relations and Functions PYQs (previous year questions) for JEE Advanced: Sets, Relations and Functions (Mathematics) had 13 questions across the 22 official JEE Advanced papers we tagged (2016–2026), and appeared in 8 of them. Asked in 6 of 11 years. The concepts asked in the most papers: Relations, Equivalence Relations, Polynomial Functions.
Year-wise question count
Asked in 6 of 11 years, with 2 papers each year.
| Year | Questions |
|---|---|
| JEE Advanced 2026 | 1 |
| JEE Advanced 2025 | 3 |
| JEE Advanced 2024 | 4 |
| JEE Advanced 2023 | 1 |
| JEE Advanced 2022 | Not asked |
| JEE Advanced 2021 | Not asked |
| JEE Advanced 2020 | 1 |
| JEE Advanced 2019 | Not asked |
| JEE Advanced 2018 | 3 |
| JEE Advanced 2017 | Not asked |
| JEE Advanced 2016 | Not asked |
Most-asked concepts
Sorted by the number of papers a concept appeared in.
| Concept | Questions | Papers | Years |
|---|---|---|---|
| Relations | 3 | 2 | 2025, 2024 |
| Composite Functions | 1 | 1 | 2025 |
| Counting Functions | 1 | 1 | 2018 |
| Domain and Range | 1 | 1 | 2018 |
| Equivalence Relations | 1 | 1 | 2026 |
| Functional Equations | 1 | 1 | 2024 |
| Functions | 1 | 1 | 2023 |
| Logarithms | 1 | 1 | 2018 |
| One-One and Onto | 1 | 1 | 2020 |
| Polynomial Functions | 1 | 1 | 2025 |
| Sets | 1 | 1 | 2024 |
How to practise Sets, Relations and Functions PYQs
- Start with the concepts at the top of the table. They have come back the most.
- Solve one year’s Sets, Relations and Functions questions from the official PDF against the clock, then check the answer listed below.
- Log every miss as a concept gap, a calculation slip or a misread. Each needs a different fix.
- Once a concept is clean in two papers, move to the next. Then sit a full paper from the year pages.
Questions by year
Each line gives the question number and paper, type, concept, our one-line summary and the official answer, with a link to the official PDF.
JEE Advanced2026
- Q.9 (Paper 1) · Numerical · Equivalence Relations: Count equivalence relations on ten elements with exactly 42 pairs (official answer: 2520) PDF
JEE Advanced2025
- Q.1 (Paper 1) · MCQ · Polynomial Functions: Coefficient of x cubed in a shifted difference of two quartics that never meet (official answer: C) PDF
- Q.6 (Paper 1) · MSQ · Composite Functions: One-one and onto properties of piecewise maps between naturals and integers (official answer: A, D) PDF
- Q.8 (Paper 1) · Numerical · Relations: Count reflexive symmetric relations with exactly 10 pairs on a six-element set (official answer: 105) PDF
JEE Advanced2024
- Q.5 (Paper 1) · MSQ · Sets: Statements on sets of numbers a + b sqrt2 formed from powers (official answer: A, C, D) PDF
- Q.8 (Paper 2) · Integer · Functional Equations: Value from additive and multiplicative functional equations (official answer: 51) PDF
- Q.14 (Paper 2) · Numerical · Relations: Find m when the number of restricted relations equals mC6 (official answer: 19.99–20.01) PDF
- Q.15 (Paper 2) · Numerical · Relations: Value of |k| from counts of constant-range and function relations (official answer: 35.99–36.01) PDF
JEE Advanced2023
- Q.1 (Paper 1) · MSQ · Functions: Counting functions from a union of intervals to a finite set (official answer: A, C, D) PDF
JEE Advanced2020
- Q.2 (Paper 1) · MCQ · One-One and Onto: Whether |x|(x - sin x) is one-one and/or onto PDF
JEE Advanced2018
- Q.7 (Paper 1) · Numerical · Logarithms: Evaluate a nested logarithmic expression PDF
- Q.9 (Paper 2) · Numerical · Counting Functions: Ratio of onto and one-one function counts between two sets PDF
- Q.15 (Paper 2) · Matching · Domain and Range: Match domain and range of log and inverse sine functions PDF
Sets, Relations and Functions in other exams
The same chapter in other official papers we tagged: JEE Main (16 questions).
Other Mathematics chapters
- Complex Numbers and Quadratic Equations PYQs
- Matrices and Determinants PYQs
- Permutations and Combinations PYQs
- Binomial Theorem PYQs
- Sequences and Series PYQs
- Limits, Continuity and Differentiability PYQs
- Integral Calculus PYQs
- Differential Equations PYQs
- Coordinate Geometry PYQs
- Three-Dimensional Geometry PYQs
- Vector Algebra PYQs
- Statistics and Probability PYQs
- Trigonometry PYQs
FAQ
How many Sets, Relations and Functions questions come in JEE Advanced?
In the official papers we tagged: 1 in 2026, 3 in 2025, 4 in 2024, 1 in 2023, 1 in 2020 and 3 in 2018 (2 papers each year). Not asked in the other 5 years. That is 13 questions in all, about 3% of Mathematics.
Which Sets, Relations and Functions topics repeat in JEE Advanced?
Asked in the most papers: Relations, Equivalence Relations, Polynomial Functions. The concept table lists every one with its count.
Are these official JEE Advanced questions?
Yes. Every question is from an official JEE Advanced paper hosted on our year pages. The one-line summaries are ours; open the PDF linked beside each question for the full text.