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Saturday, 31 October

JEE Main · Maths · Relations and Functions

Counting Reflexive and Symmetric Relations

JEE Main asked Counting Reflexive and Symmetric Relations 2 times in 2 of the 108 shifts Lumi analysed, in 2023 and 2025. It belongs to Sets and Relations, in Relations and Functions (Maths). The longest wait between two years asking it was 2 years.

Updated 2026-10-24

Times asked
2
in 2 shifts
Years
2 of 8
First asked
2023
last in 2025
Pattern
Occasional
across the analysed shifts

Questions on this idea a shift, by year

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

00.10.20’170’200’210’220.07’230’240.13’250’26

Raw count: 2017: 0 in 1 shift · 2020: 0 in 12 shifts · 2021: 0 in 24 shifts · 2022: 0 in 24 shifts · 2023: 1 in 12 shifts · 2024: 0 in 18 shifts · 2025: 1 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
  • 20251 of 8
  • 20240 of 18
  • 20231 of 12
  • 20220 of 24
  • 20210 of 24
  • 20200 of 12
  • 20170 of 1

Asked in that shift More than once Not asked

How JEE Main framed it

Numerical value is the usual form. Skill tested: multi-step.

  • Count elements of relation and closures
  • Count elements of relation

Difficulty

Easy 0Medium 2Hard 0

1 of the 2 questions had a numerical answer.

Every question

All 2 questions

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

  1. 3 Apr 2025, Shift 2 · Q1Let A={−2,−1,0,1,2,3}A = \{-2, -1, 0, 1, 2, 3\}. Let R be a relation on AA defined by xRyxRy if and only if y=max⁡{x,1}y = \max\{x, 1\}. Let ll be the number of…MediumSingle correct
  2. 13 Apr 2023, Shift 2 · Q21Let A={−4,−3,−2,0,1,3,4}A=\{-4,-3,-2,0,1,3,4\} and R={(a,b)∈A×A:b=∣a∣ or b2=a+1}R=\{(a,b)\in A\times A: b=|a| \text{ or } b^2=a+1\} be a relation on A. Then the minimum number of…MediumNumerical value

Shifts: 13 Apr 2023, Shift 2, 3 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