JEE Main 2022 Mathematics question

MathematicsSets and RelationJEE Main 2022

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 .

Answer: 5264

Solution

A B consists of the even numbers 2, 4, …, 200 that are coprime to 45, i.e. not divisible by 3 or 5. Equivalently the sum is sum of the

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Question ID VK-025370