JEE Main 2021 · MathsNumerical answerNumerical valueMediumMulti-step

JEE Main 27 August 2021, Shift 1, Maths Q81

Question 81 of 90 in this shift, Maths question 21 of 30, Section B.

A=\{x \in \mathbf{R} : |x-2|>1\}

B=\left\{x \in \mathbf{R} : \sqrt{x^2-3}>1\right\}

C=\{x \in \mathbf{R} : |x-4|\geq 2\}

and

\mathbf{Z}

is the set of all integers, then the number of subsets of the set

(A \cap B \cap C)^c \cap \mathbf{Z}

is __________.

Official answer

256

NTA final key.

Chapter: Relations and Functions
Topic: Sets and Relations
Idea tested: Intervals as Subsets of R

Same idea in other shifts

Asked 3× in all

25 Jun 2022, Shift 2 · Q1Let $A = \{x \in \mathbb{R} : |x+1| < 2\}$ and $B = \{x \in \mathbb{R} : |x-1| \geq 2\}$ . Then which one of the following statements is…EasySingle correct
9 Jan 2020, Shift 2 · Q51If $A=\{x\in\mathbf{R}:|x|<2\}$ and $B=\{x\in\mathbf{R}:|x-2|\ge 3\}$ ; then :EasySingle correct

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.