JEE Main 2022 — Sets And Relations Question with Solution
From: JEE Main 2022 (Online) 26th June Morning Shift
Question
Let A = {n N : H.C.F. (n, 45) = 1} and
Let B = {2k : k {1, 2, ......., 100}}. Then the sum of all the elements of A B is ____________.
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Show full solutionCorrect answer: 5264
Step-by-step explanation
Sum of all elements of A B = 2 [Sum of natural numbers upto 100 which are neither divisible by 3 nor by 5]
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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.