JEE Main 2019 — Sets And Relations Question with Solution
From: JEE Main 2019 (Online) 12th January Morning Slot
Question
Let S = {1, 2, 3, … , 100}. The number of non-empty subsets A of S such that the product of elements in A is even is :
Choose an option
Show full solutionCorrect option: B
Correct answer
B250 (250 1)
Step-by-step explanation
S = {1,2,3, . . . .100}
= Total non empty subsets-subsets with product of element is odd
= 2100 1 1[(250 1)]
= 2100 250
= 250 (250 1)
= Total non empty subsets-subsets with product of element is odd
= 2100 1 1[(250 1)]
= 2100 250
= 250 (250 1)
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This is a previous-year question from JEE Main 2019, 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.