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Binomial Theorem PYQs (previous year questions) for JEE Advanced: Binomial Theorem (Mathematics) had 7 questions across the 22 official JEE Advanced papers we tagged (2016–2026), and appeared in 7 of them. Asked in 7 of 11 years. The concepts asked in the most papers: Binomial Coefficients, Binomial Coefficient Sums, Higher Order Derivatives.
Year-wise question count
Asked in 7 of 11 years, with 2 papers each year.
| Year | Questions |
|---|---|
| JEE Advanced 2026 | 1 |
| JEE Advanced 2025 | 1 |
| JEE Advanced 2024 | Not asked |
| JEE Advanced 2023 | 1 |
| JEE Advanced 2022 | Not asked |
| JEE Advanced 2021 | Not asked |
| JEE Advanced 2020 | 1 |
| JEE Advanced 2019 | 1 |
| JEE Advanced 2018 | 1 |
| JEE Advanced 2017 | Not asked |
| JEE Advanced 2016 | 1 |
Most-asked concepts
Sorted by the number of papers a concept appeared in.
| Concept | Questions | Papers | Years |
|---|---|---|---|
| Binomial Coefficients | 3 | 3 | 2023, 2018, 2016 |
| Binomial Coefficient Sums | 2 | 2 | 2020, 2019 |
| Greatest Coefficient | 1 | 1 | 2025 |
| Higher Order Derivatives | 1 | 1 | 2026 |
How to practise Binomial Theorem PYQs
- Start with the concepts at the top of the table. They have come back the most.
- Solve one year’s Binomial Theorem 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.5 (Paper 2) · MSQ · Higher Order Derivatives: Coefficients, degree and values of the 10th derivative of a polynomial (official answer: A, B, C) PDF
JEE Advanced2025
- Q.10 (Paper 2) · Numerical · Greatest Coefficient: Index of the largest coefficient in a binomial expansion with fractional term (official answer: 6) PDF
JEE Advanced2023
- Q.13 (Paper 1) · Integer · Binomial Coefficients: Value of 2b from equal coefficients in two binomial expansions (official answer: 3) PDF
JEE Advanced2020
- Q.12 (Paper 2) · MSQ · Binomial Coefficient Sums: Properties of a double sum of binomial coefficients PDF
JEE Advanced2019
- Q.9 (Paper 2) · Numerical · Binomial Coefficient Sums: Sum of nCk/(k+1) when a determinant of sums vanishes (official answer: 6.2) PDF
JEE Advanced2018
- Q.14 (Paper 2) · Numerical · Binomial Coefficients: Evaluate a weighted sum of squared binomial coefficients PDF
JEE Advanced2016
- Q.51 (Paper 1) · Integer · Binomial Coefficients: Coefficient of x^2 in a sum of binomial powers (official answer: 5) PDF
Binomial Theorem in other exams
The same chapter in other official papers we tagged: JEE Main (11 questions).
Other Mathematics chapters
- Sets, Relations and Functions PYQs
- Complex Numbers and Quadratic Equations PYQs
- Matrices and Determinants PYQs
- Permutations and Combinations 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 Binomial Theorem questions come in JEE Advanced?
In the official papers we tagged: 1 in 2026, 1 in 2025, 1 in 2023, 1 in 2020, 1 in 2019, 1 in 2018 and 1 in 2016 (2 papers each year). Not asked in the other 4 years. That is 7 questions in all, about 2% of Mathematics.
Which Binomial Theorem topics repeat in JEE Advanced?
Asked in the most papers: Binomial Coefficients, Binomial Coefficient Sums, Higher Order Derivatives. 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.