Sets JEE Main PYQs PDF, 2020–2026

Sets has 39 questions in JEE Main papers from 2020 to 2026, about 5.6 per year across all shifts. All 39 are in the free PDF, with an answer key. The most asked topic is Set Operations (18 questions), followed by Venn Diagrams (13) and Subsets and Power Set (5).

Asked in JEE Main: 392020–2026, all shifts
In this free PDF: 39all of them, with answers
Asked in 2026: 2Latest paper: 2026 Jan S2
Most asked topic: Set Operations18 Qs · 46% of the chapter
Difficulty mix: 16% easy · 69% medium · 15% hardof the questions in the PDF

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Source: official NTA JEE Main papers · Updated 25 Oct 2026

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2 of this chapter's questions came back in a later paper (2021–2026). See the most repeated.

How often it's asked in JEE Main

Sets had about 0.2 questions per shift in recent JEE Main papers (2024–26). Most asked topic in 2024–26: Venn Diagrams. About 2 questions in the 2026 papers.

It came up in about 11 of the 2024–26 shifts in our bank. Question types in 2020–2026: about 20 MCQs and about 19 numerical.

How many questions from Sets in JEE Main, year by year

Year	Questions	Per shift	MCQ	Numerical
2026	2	0.1	1	1
2025	5	0.3	4	1
2024	4	0.2	2	2
2023	6	0.3	4	2
2022	9	0.4	3	6
2021	7	0.3	2	5
2020	6	0.4	4	2
2020–2026	39	0.3	20	19

Most asked Sets topics, 2020–2026

Topic	Questions
Set Operations	18
Venn Diagrams	13
Subsets and Power Set	5
Types of Sets	3

Counted from PrepWiser's question bank of JEE Main papers, 2020–2026. Per shift = questions that year ÷ shifts in our bank. Updated 25 Oct 2026.

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Two free sheets, made from the past JEE Main questions on this chapter.

Revision notes7 pages, 13 ideas with the usual mistakes.Open the revision notes Formula sheet2 pages, all 13 formulas.Open the formula sheet

Sets questions per year

Year	Asked	In PDF
2026	2	2
2025	5	5
2024	4	4
2023	6	6
2022	9	9
2021	7	7
2020	6	6

Topic-wise weightage by year

How many Sets questions each topic had in every JEE Main year (all shifts), counting every question asked, including ones not in the PDF. Darker cells mean more questions.

Topic	Asked	Share	2026	2025	2024	2023	2022	2021	2020
Set Operations	18	46%	1	2	·	1	7	3	4
Venn Diagrams	13	33%	1	2	3	3	·	3	1
Subsets and Power Set	5	13%	·	·	1	1	1	1	1
Types of Sets	3	8%	·	1	·	1	1	·	·
All topics	39	100%	2	5	4	6	9	7	6

Swipe the table sideways for older years.

Newest questions (2026)

All 2 JEE Main 2026 Sets questions in the free PDF, latest shift first.

JEE Main 2026 · 22 Jan · Shift 2 · Set Operations

Let S be the set of the first 11 natural numbers. Then the number of elements in $A=\{B\subseteq S:n(B)\geqslant 2$ and the product of all elements of $B$ is even $\}$ is $\_\_\_\_$ .
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JEE Main 2026 · 21 Jan · Shift 2 · Venn Diagrams

Let $A=\{x:|x^{2}-10|\leq 6\}$ and $B=\{x:|x-2|>1\}$ . Then
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Sample questions from recent papers

JEE Main 2025 · 7 Apr · Shift 2 · Venn Diagrams

Let A = { ( $\alpha, \beta$ ) $\in \mathbb{R} \times \mathbb{R}$ : | $\alpha$ - 1| $\leq 4$ and | $\beta$ - 5| $\leq 6$ }

and B = { ( $\alpha, \beta$ ) $\in \mathbb{R} \times \mathbb{R}$ : 16( $\alpha$ - $2)^2$ + 9( $\beta$ - $6)^2$ $\leq 144$ }.

Then

(A)
A $\subset$ B
(B)
B $\subset$ A
(C)
neither A $\subset$ B nor B $\subset$ A
(D)
$A \cup B=\{(x, y):-4 \leqslant x \leqslant 4,-1 \leqslant y \leqslant 11\}$

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Answer: (B)

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JEE Main 2025 · 24 Jan · Shift 2 · Set Operations

Let $\mathrm{A}=\left\{x \in(0, \pi)-\left\{\frac{\pi}{2}\right\}: \log _{(2 /\pi)}|\sin x|+\log _{(2 / \pi)}|\cos x|=2\right\}$ and $\mathrm{B}=\{x \geqslant 0: \sqrt{x}(\sqrt{x}-4)-3|\sqrt{x}-2|+6=0\}$ . Then $\mathrm{n}(\mathrm{A} \cup \mathrm{B})$ is equal to :

(A)4
(B)8
(C)6
(D)2

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Answer: (B)

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JEE Main 2025 · 22 Jan · Shift 1 · Types of Sets

Let $A=\{1,2,3, \ldots, 10\}$ and $B=\left\{\frac{m}{n}: m, n \in A, m< n\right.$ and $\left.\operatorname{gcd}(m, n)=1\right\}$ . Then $n(B)$ is equal to :

(A)29
(B)31
(C)37
(D)36

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Answer: (B)

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JEE Main 2024 · 27 Jan · Shift 2 · Subsets and Power Set

Let $A$ and $B$ be two finite sets with $m$ and $n$ elements respectively. The total number of subsets of the set $A$ is 56 more than the total number of subsets of $B$ . Then the distance of the point $P(m, n)$ from the point $Q(-2,-3)$ is :

(A)8
(B)10
(C)4
(D)6

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Answer: (B)

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The free PDF above has all 39 questions grouped by topic, with an answer key.

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Frequently asked

How many questions come from Sets in JEE Main?

39 questions from 2020 to 2026, about 5.6 per year. In 2026 it had 2.

Which Sets topics are most important for JEE Main?

By past papers: Set Operations (46%), Venn Diagrams (33%) and Subsets and Power Set (13%) of all Sets questions.

Is the Sets PYQ PDF free?

Yes. The PDF and its answer key are free, and you can practise the questions online with no login, with step-by-step solutions where available.

Prefer to solve online? Practise Sets online with step-by-step solutions where available, or work through JEE Main papers shift by shift.

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JEE Main PYQs by year: 2026 · 2025 · 2024 · 2023 · 2022 · 2021 · 2020

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Answers follow NTA's final answer keys. Typing errors are possible, so check doubtful answers against the official key. Spotted a mistake? prepwiser.in/feedback · Terms: prepwiser.in/terms

Sets JEE Main PYQs PDF, 2020–2026

How often it's asked in JEE Main

How many questions from Sets in JEE Main, year by year

Most asked Sets topics, 2020–2026

Revise Sets before you practise

Send this chapter to your study group

Sets questions per year

Topic-wise weightage by year

Newest questions (2026)

Sample questions from recent papers

Practise these online, free, no login

Frequently asked

How many questions come from Sets in JEE Main?

Which Sets topics are most important for JEE Main?

Is the Sets PYQ PDF free?

More Mathematics chapters