# 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
$A=36^{n}-35 n-1=36^{n}-1^{n}-35 n$
Since $a^{n}-b^{n}$ is divisible by a $-b$ for all positive integral values of n, A is a multiple of 35 for any integral value of n and B is a set containing all the multiple of 35 including 0.
Hence, every member of A is in B but not every element of B is in A.

Get one day FREE Trial of CAT online Full course
Also Check: 841+ CAT Quant Questions with Solutions

#### CAT Quant Online Course

• 1000+ Practice Problems
• Detailed Theory of Every Topics
• Online Live Sessions for Doubt Clearing
• All Problems with Video Solutions

CAT 2018 Questions Paper with Solution PDF

## CAT 2018 Quant Questions with Solutions

#### CAT 2018 Slot-2

CAT 2018 Quant Questions
4.9 (97%) 20 vote[s]