CAT 2018 Question Paper Shift 2 Solved Paper

Question : 68 of 100

Marks: +1, -0

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?
Options

Solution:

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}

Go to Question:

Prev Question

Next Question