**Question: **

If A = {6^{2n} -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 |

**Show Answer**

Correct Answer: 2

$A=36^{n}-35 n-1=36^{n}-1^{n}-35 n$

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.

$A=36^{n}-35 n-1=36^{n}-1^{n}-35 n$

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 FREE Registration

**Also Check:**841+ CAT Quant Questions with Solutions

## CAT Quant Questions with Video Solutions

CAT Quant Questions Set 01CAT Quant Questions Set 02

CAT Quant Questions Set 03

CAT Quant Questions Set 04

CAT Quant Questions Set 05

CAT Quant Questions Set 06

#### CAT Quant Online Course

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

₹ 2999

**CAT 2018 Questions Paper with Solution PDF **Download