JEE Main 2021 · MathsNumerical answerNumerical valueMediumMulti-step

JEE Main 22 July 2021, Shift 2, Maths Q86

Question 86 of 90 in this shift, Maths question 26 of 30, Section B.

The sum of all the elements in the set

\{\mathrm{n}\in\{1, 2, .........., 100\}\mid\mathrm{H.C.F.}

of n and

2040

1\}

is equal to ________.

Official answer

1251

NTA final key.

Chapter: Relations and Functions
Topic: Sets and Relations
Idea tested: Inclusion-Exclusion for Three Sets

Same idea in other shifts

Asked 4× in all

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
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
26 Jun 2022, Shift 1 · Q27Let $A = \{n \in \mathbf{N} : \mathrm{H.C.F.}\,(n, 45) = 1\}$ and Let $B = \{2k : k \in \{1, 2, \ldots, 100\}\}$ . Then the sum of all the…MediumNumerical value

Question text from the official JEE Main paper published by NTA; answer from the final answer key. Chapter, topic and idea tags, difficulty and skill are Lumi’s. Lumi analyses 108 of the 174 JEE Main shifts held from 2017 to 2026.