JEE Main 2020 — Sets And Relations Question with Solution
From: JEE Main 2020 (Online) 6th September Morning Slot
Question
Set A has m elements and set B has n elements. If the total number of subsets of A is 112 more
than the total number of subsets of B, then the value of m.n is ______.
Enter your answer
Show full solutionCorrect answer: 28
Correct answer
28
Step-by-step explanation
Number of subsets of A = 2m
Number of subsets of B = 2n
Given = 2m – 2n = 112
m = 7, n = 4 (27 – 24 = 112)
m n = 7 4 = 28
Number of subsets of B = 2n
Given = 2m – 2n = 112
m = 7, n = 4 (27 – 24 = 112)
m n = 7 4 = 28
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This is a previous-year question from JEE Main 2020, 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.