JEE Main 2022 · MathsNumerical answerNumerical valueMediumMulti-step

JEE Main 26 June 2022, Shift 1, Maths Q27

Question 27 of 90 in this shift, Maths question 27 of 30, Section B.

Let

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 elements of

A \cap B

is ________.

Official answer

5264

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

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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.