CAT 2018 Quant Questions

Question:
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?

Neither every member of A is in B nor every member of B is in A
Every member of A is in B and at least one member of B is not in A
Every member of B is in A.
At least one member of A is not in B
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Correct Answer: 2

If we carefully observe set A, then we find that $6^{2n} -35n - 1$ is divisible by 35. So, set A contains multiples of 35. However, not all the multiples of 35 are there in set A, for different values of n.
For $n = 1$, the value is 0, for $n = 2$, the value is 1225 which is the 35th multiple of 3.
If we observe set B, it consists of all the multiples of 35 including 0.
So, we can say that every member of set A will be in B while every member of set B will not necessarily be in set A.

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CAT 2018 Quant Questions
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