JEE Main 2022MathematicsSets and RelationsMediumNumerical

JEE Main 2022 — Sets and Relations Question with Solution

JEE Main 2022 (26 Jul Shift 2)

Question

Let A=1,2,3,4,5,6,7 and B=3,6,7,9. Then the number of elements in the set C⊆A:C∩B≠ϕ is ______

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Show full solutionCorrect answer: 112
Correct answer
112

Step-by-step explanation

Given,

A=1,2,3,4,5,6,7 and B=3,6,7,9

We know that if any set has n elements then total number of subset is given by 2n

So, total subset of A=27=128

C∩B=ϕ when set C contains the element 1,2,4,5

∴  S=C⊆A;C∩B≠ϕ

= Total-C∩B=ϕ

=128-24=128-16=112

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About this question

This is a previous-year question from JEE Main 2022, covering the Sets and Relations chapter of Mathematics. PrepSharp catalogues every PYQ from JEE Main with a verified answer key and step-by-step solution prepared by IIT alumni — so you can search by chapter, topic or year and revise efficiently.