JEE Main 2023 — Sets And Relations Question with Solution
From: JEE Main 2023 (Online) 25th January Morning Shift
Question
Let S = {1, 2, 3, 5, 7, 10, 11}. The number of non-empty subsets of S that have the sum of all elements a multiple of 3, is _____________.
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Show full solutionCorrect answer: 43
Correct answer
43
Step-by-step explanation
Elements of the type
Elements of the type
Elements of the type
Subsets containing one element
Subsets containing two elements
Subsets containing three elements
Subsets containing four elements
Subsets containing five elements
Subsets containing six elements
Subsets containing seven elements
Elements of the type
Elements of the type
Subsets containing one element
Subsets containing two elements
Subsets containing three elements
Subsets containing four elements
Subsets containing five elements
Subsets containing six elements
Subsets containing seven elements
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This is a previous-year question from JEE Main 2023, 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.