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Saturday, 31 October

JEE Main · Maths · Relations and Functions

Range of Sum of Modulus Functions

JEE Main asked Range of Sum of Modulus Functions once in the 108 shifts Lumi analysed, on 4 Aug 2021, Shift 1. It belongs to Functions and Domain, in Relations and Functions (Maths).

Updated 2026-10-24

Times asked
1
in 1 shift
Years
1 of 8
First asked
2021
the only year
Pattern
Gone quiet
asked once so far

Questions on this idea a shift, by year

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

00.050.10’170’200.03’210’220’230’240’250’26

Raw count: 2017: 0 in 1 shift · 2020: 0 in 12 shifts · 2021: 1 in 24 shifts · 2022: 0 in 24 shifts · 2023: 0 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
  • 20230 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

Numerical value is the usual form. Skill tested: calculation.

  • Minimum of sum of modulus functions

Difficulty

Easy 1Medium 0Hard 0

1 of the 1 question had a numerical answer.

Every question

The question

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

  1. 4 Aug 2021, Shift 1 · Q84If f(x)=∣3−x∣+∣2+x∣+∣5−x∣f(x)=|3-x|+|2+x|+|5-x|, x∈Rx\in\mathbb{R}, then the minimum value of f(x)f(x) is ______.EasyNumerical value

Shift: 4 Aug 2021, Shift 1.

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