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Saturday, 31 October

JEE Main · Maths · Relations and Functions

Inclusion-Exclusion for Three Sets

JEE Main asked Inclusion-Exclusion for Three Sets 4 times in 4 of the 108 shifts Lumi analysed, in 2021, 2022, 2023 and 2024. It belongs to Sets and Relations, in Relations and Functions (Maths). The longest wait between two years asking it was 1 year.

Updated 2026-10-24

Times asked
4
in 4 shifts
Years
4 of 8
First asked
2021
last in 2024
Pattern
Comes in cycles
across the analysed shifts

Questions on this idea a shift, by year

2017–2026. Asked in 2021, 2022, 2023 and 2024. Years differ in how many shifts Lumi analysed, so each year is scaled to one shift of 25 Maths questions.

00.050.10’170’200.03’210.04’220.07’230.05’240’250’26

Raw count: 2017: 0 in 1 shift · 2020: 0 in 12 shifts · 2021: 1 in 24 shifts · 2022: 1 in 24 shifts · 2023: 1 in 12 shifts · 2024: 1 in 18 shifts · 2025: 0 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
  • 20250 of 8
  • 20241 of 18
  • 20231 of 12
  • 20221 of 24
  • 20211 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: application.

  • Count elements in exactly two of three sets
  • Extremum of set cardinality from conditions

Difficulty

Easy 1Medium 2Hard 1

3 of the 4 questions had a numerical answer.

Every question

All 4 questions

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

  1. 30 Jan 2024, Shift 1 · Q29A group of 40 students appeared in an examination of 3 subjects - Mathematics, Physics and Chemistry. It was found that all students…HardNumerical value
  2. 11 Apr 2023, Shift 1 · Q1An organization awarded 48 medals in event 'A', 25 in event 'B' and 18 in event 'C'. If these medals went to total 60 men and only five…EasySingle correct
  3. 26 Jun 2022, Shift 1 · Q27Let A={n∈N:H.C.F. (n,45)=1}A = \{n \in \mathbf{N} : \mathrm{H.C.F.}\,(n, 45) = 1\} and Let B={2k:k∈{1,2,…,100}}B = \{2k : k \in \{1, 2, \ldots, 100\}\}. Then the sum of all the…MediumNumerical value
  4. 22 Jul 2021, Shift 2 · Q86The sum of all the elements in the set {n∈{1,2,..........,100}∣H.C.F.\{\mathrm{n}\in\{1, 2, .........., 100\}\mid\mathrm{H.C.F.} of n and 20402040 is 1}1\} is equal to…MediumNumerical value

Shifts: 22 Jul 2021, Shift 2, 26 Jun 2022, Shift 1, 11 Apr 2023, Shift 1, 30 Jan 2024, Shift 1.

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