JEE Main 2024 · MathsMultiple choiceSingle correctEasyCalculation

JEE Main 6 April 2024, Shift 1, Maths Q7

Question 7 of 90 in this shift, Maths question 7 of 30, Section A.

Let

A = \{n \in [100, 700] \cap \mathbb{N}: n

is neither a multiple of 3 nor a multiple of 4

\}

. Then the number of elements in

A

(1) $280$
(2) $290$
(3) $300$ Official answer
(4) $310$

Official answer

Option 3

NTA final key.

Chapter: Relations and Functions
Topic: Sets and Relations
Idea tested: Venn Diagrams

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Asked 5× 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.