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Saturday, 31 October

JEE Main · Maths · Relations and Functions

Domain Constraints of Greatest Integer Function

JEE Main asked Domain Constraints of Greatest Integer Function 3 times in 3 of the 108 shifts Lumi analysed, in 2021 and 2023. It belongs to Functions and Domain, in Relations and Functions (Maths). The longest wait between two years asking it was 2 years. In 2023 it came in more than one shift of the same year.

Updated 2026-10-24

Times asked
3
in 3 shifts
Years
2 of 8
First asked
2021
last in 2023
Pattern
Occasional
across the analysed shifts

Questions on this idea a shift, by year

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

00.10.20’170’200.03’210’220.14’230’240’250’26

Raw count: 2017: 0 in 1 shift · 2020: 0 in 12 shifts · 2021: 1 in 24 shifts · 2022: 0 in 24 shifts · 2023: 2 in 12 shifts · 2024: 0 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
  • 20240 of 18
  • 20232 of 12
  • 20220 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

Single correct is the usual form. Skill tested: multi-step.

  • Statement i/ii on domain and range
  • Domain of function with greatest integer

Difficulty

Easy 0Medium 3Hard 0

Every question was multiple choice.

Every question

All 3 questions

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

  1. 11 Apr 2023, Shift 2 · Q2The domain of the function f(x)=1[x]2−3[x]−10f(x) = \frac{1}{\sqrt{[x]^2 - 3[x] - 10}} is (where [x][x] denotes the greatest integer less than or equal to…MediumSingle correct
  2. 6 Apr 2023, Shift 2 · Q1[English stem not rendered in the PDF; reconstructed from the Hindi copy] Let the function f(x)=1⌈x⌉−xf(x)=\frac{1}{\sqrt{\lceil x\rceil-x}}, where…MediumTwo statements
  3. 22 Jul 2021, Shift 2 · Q79Let [x][x] denote the greatest integer less than or equal to xx. Then, the values of x∈Rx\in\mathbf{R} satisfying the equation…MediumSingle correct

Shifts: 22 Jul 2021, Shift 2, 6 Apr 2023, Shift 2, 11 Apr 2023, Shift 2.

Same topic

Other ideas in Functions and Domain

Functions and Domain has 20 ideas JEE Main has asked; 8 of them came up in more than one question. The 12 most asked are below.

Topic analysisChapter analysisStudy this chapterAll repeated ideas