JEE Main 2023 · MathsMultiple choiceSingle correctMediumMulti-step

JEE Main 6 April 2023, Shift 1, Maths Q1

Question 1 of 90 in this shift, Maths question 1 of 30, Section A.

Let

A=\{x\in\mathbb{R}:[x+3]+[x+4]\le 3\}

B=\left\{x\in\mathbb{R}: 3^x\left(\sum_{r=1}^{\infty}\frac{3}{10^r}\right)^{x-3}<3^{-3x}\right\}

, where

[t]

denotes greatest integer function. Then,

(1) $A=B$ Official answer
(2) $A\subset B,\ A\neq B$
(3) $B\subset C,\ A\neq B$
(4) $A\cap B=\phi$

Official answer

Option 1

NTA final key.

Chapter: Relations and Functions
Topic: Sets and Relations
Idea tested: Roster and Set-Builder Forms

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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 42 of the 174 JEE Main shifts held from 2017 to 2026.