CAT 2018 Set Theory Question (Medium)

Question

If A 6 n - 35n - 1 n 1, 2, 3, ... and B 35 n - 1 n 1, 2, 3, ... then which of the following is true?

Accepted Answer

Step 1 Understand given sets A 6 n - 35n - 1 n 1, 2, 3, ... B 35 n - 1 n 1, 2, 3, ... So, B multiples of 35 starting from 0 B 0, 35, 70, 105, 140, ... --- Step 2 Check first few terms of A Let s calculate elements of A for different values of n - For n 1 A 6 1 - 35 1 - 1 36 - 35 - 1 0 - For n 2 A 6

CAT 2018

Quantitative

Set Theory

Medium

If A = {6²n - 35n - 1 : n = 1, 2, 3, ...} and B = {35(n - 1) : n = 1, 2, 3, ...} then which of the following is true?

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