JEE Main 2022 — Sets And Relations Question with Solution
From: JEE Main 2022 (Online) 26th July Evening Shift
Question
Let and . Then the number of elements in the set is ___________.
Enter your answer
Show full solutionCorrect answer: 112
Step-by-step explanation
As C B , c must be not be formed by {1, 2, 4, 5}
Number of subsets of A = 27 = 128
and number of subsets formed by {1, 2, 4, 5} = 16
Required no. of subsets = 27 24 = 128 16 = 112
Practice this on the real CBT interface
Solve this JEE Main question (and the rest of the Sets And Relations chapter) on PrepSharp's TCS iON-style CBT player — with timer, bookmarks and session analytics.
Solve interactively →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.