JEE Main 2021 — Sets And Relations Question with Solution
From: JEE Main 2021 (Online) 27th July Evening Shift
Question
Let A = {n N | n2 n + 10,000}, B = {3k + 1 | k N} an dC = {2k | kN}, then the sum of all the elements of the set A (B C) is equal to _____________.
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Show full solutionCorrect answer: 832
Correct answer
832
Step-by-step explanation
B C {7, 13, 19, ......, 97, .......}
Now, n2 n 100 100
n(n 1) 100 100
A = {1, 2, ......., 100}.
So, A(B C) = {7, 13, 19, ......., 97}
Hence, sum =
Now, n2 n 100 100
n(n 1) 100 100
A = {1, 2, ......., 100}.
So, A(B C) = {7, 13, 19, ......., 97}
Hence, sum =
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