JEE Main 26 July 2022, Shift 2, Maths Q21

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

Let

A=\{1,2,3,4,5,6,7\}

and

B=\{3,6,7,9\}

. Then the number of elements in the set

\{C\subseteq A: C\cap B\neq\phi\}

is ________

Official answer

112

NTA final key.

Chapter: Relations and Functions
Topic: Sets and Relations
Idea tested: Subsets and Proper Subsets

Same idea in other shifts

Asked 2× in all

25 Jul 2022, Shift 2 · Q21Let $A=\{1,2,3,4,5,6,7\}$ . Define $B=\{T\subseteq A:\text{either }1\notin T\text{ or }2\in T\}$ and…HardNumerical 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.