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Saturday, 31 October

JEE Main · Maths · Relations and Functions

Relation Types

JEE Main asked Relation Types 12 times in 12 of the 108 shifts Lumi analysed, in 2020, 2021, 2023, 2024 and 2025. It belongs to Sets and Relations, in Relations and Functions (Maths). The longest wait between two years asking it was 2 years. In 2023, 2024 and 2025 it came in more than one shift of the same year.

Updated 2026-10-24

Times asked
12
in 12 shifts
Years
5 of 8
First asked
2020
last in 2025
Pattern
Asked most years
across the analysed shifts

Questions on this idea a shift, by year

2017–2026. Asked in 2020, 2021, 2023, 2024 and 2025. Years differ in how many shifts Lumi analysed, so each year is scaled to one shift of 25 Maths questions.

00.150.30’170.08’200.03’210’220.14’230.28’240.25’250’26

Raw count: 2017: 0 in 1 shift · 2020: 1 in 12 shifts · 2021: 1 in 24 shifts · 2022: 0 in 24 shifts · 2023: 2 in 12 shifts · 2024: 6 in 18 shifts · 2025: 2 in 8 shifts · 2026: 0 in 9 shifts.

Shift by shift

Each square is one analysed shift, in date order. Open a filled one for that paper.

  • 20260 of 9
  • 20252 of 8
  • 20246 of 18
  • 20232 of 12
  • 20220 of 24
  • 20211 of 24
  • 20201 of 12
  • 20170 of 1

Asked in that shift More than once Not asked

How JEE Main framed it

Single correct is the usual form. Skill tested: conceptual.

  • Count elements of relation
  • Classify relation as reflexive symmetric transitive

Difficulty

Easy 2Medium 9Hard 1

2 of the 12 questions had a numerical answer.

Every question

All 12 questions

From the official JEE Main shift papers, newest first. Open one for the full question, the options and the official answer.

  1. 8 Apr 2025, Shift 2 · Q1Let A={0,1,2,3,4,5}A = \{0, 1, 2, 3, 4, 5\}. Let RR be a relation on AA defined by (x,y)∈R(x, y) \in R if and only if max⁡{x,y}∈{3,4}\max\{x, y\} \in \{3, 4\}. Then…MediumOther
  2. 4 Apr 2025, Shift 2 · Q2Let A={−3,−2,−1,0,1,2,3}A=\{-3,-2,-1,0,1,2,3\} and R be a relation on A defined by xRyxRy if and only if 2x−y∈{0,1}2x-y\in\{0,1\}. Let ll be the number of elements…MediumSingle correct
  3. 31 Jan 2024, Shift 2 · Q21Let A={1,2,3,…,100}A=\{1,2,3,\ldots,100\}. Let RR be a relation on AA defined by (x,y)∈R(x,y)\in R if and only if 2x=3y2x=3y. Let R1R_1 be a symmetric…MediumNumerical value
  4. 29 Jan 2024, Shift 1 · Q2Let R be a relation on Z×Z\mathbb{Z}\times\mathbb{Z} defined by (a,b) R (c,d)(a, b)\,R\,(c, d) if and only if ad−bcad-bc is divisible by 5. Then R isMediumSingle correct
  5. 27 Jan 2024, Shift 1 · Q1Let S={1,2,3,…,10}S=\{1,2,3,\ldots,10\}. Suppose M is the set of all the subsets of S, then the relation R={(A,B):A∩B≠ϕ; A,B∈M}R=\{(A,B): A\cap B\neq\phi;\ A,B\in M\} is :EasySingle correct
  6. 8 Apr 2024, Shift 2 · Q1Let A={2,3,6,8,9,11}A = \{2, 3, 6, 8, 9, 11\} and B={1,4,5,10,15}B = \{1, 4, 5, 10, 15\}. Let R be a relation on A×BA \times B defined by (a,b)R(c,d)(a, b)R(c, d) if and only…HardSingle correct
  7. 6 Apr 2024, Shift 1 · Q1Let the relations R1R_1 and R2R_2 on the set X={1,2,3,….,20}X = \{1, 2, 3, \ldots., 20\} be given by R1={(x,y):2x−3y=2}R_1 = \{(x, y): 2x - 3y = 2\} and…MediumSingle correct
  8. 4 Apr 2024, Shift 2 · Q1Let a relation R on N×N\mathbb{N}\times\mathbb{N} be defined as: (x1,y1) R (x2,y2)(x_1,y_1)\ \mathrm{R}\ (x_2,y_2) if and only if x1≤x2x_1\le x_2 or…MediumTwo statements
  9. 15 Apr 2023, Shift 1 · Q21Let A={1,2,3,4}A=\{1,2,3,4\} and R be a relation on the set A×AA\times A defined by R={((a,b),(c,d)):2a+3b=4c+5d}R=\left\{((a,b),(c,d)): 2a+3b=4c+5d\right\}. Then the number…MediumNumerical value
  10. 8 Apr 2023, Shift 2 · Q1Let A={1,2,3,4,5,6,7}A = \{1, 2, 3, 4, 5, 6, 7\}. Then the relation R={(x,y)∈A×A:x+y=7}R = \{(x, y) \in A \times A : x + y = 7\} isEasySingle correct
  11. 31 Aug 2021, Shift 1 · Q61Which of the following is not correct for relation R on the set of real numbers ?MediumSingle correct
  12. 3 Sep 2020, Shift 2 · Q51Let R1R_1 and R2R_2 be two relations defined as follows : R1={(a,b)∈R2:a2+b2∈Q}R_1 = \{(a, b) \in \mathbf{R}^2 : a^2 + b^2 \in Q\} and…MediumSingle correct

Shifts: 3 Sep 2020, Shift 2, 31 Aug 2021, Shift 1, 8 Apr 2023, Shift 2, 15 Apr 2023, Shift 1, 27 Jan 2024, Shift 1, 29 Jan 2024, Shift 1, 31 Jan 2024, Shift 2, 4 Apr 2024, Shift 2, 6 Apr 2024, Shift 1, 8 Apr 2024, Shift 2, 4 Apr 2025, Shift 2, 8 Apr 2025, Shift 2.

Same topic

Other ideas in Sets and Relations

Sets and Relations has 15 ideas JEE Main has asked; 10 of them came up in more than one question. The 12 most asked are below.

Topic analysisChapter analysisStudy this chapterAll repeated ideas