700 Level GMAT, GRE Divisibility Quant Problem

If n = 14,444, which of the following operations will not yield a number that is divisible by 11?

A) n - 1
B) n + 10
C) n - 100
D) n + 100,000
E) n - 100,000







n = 14444 

we need to find value which will not be divisible by 11.

Let's check or 14444 first.
14444/11 gives a remainder of 1


option A → n -1 are divisible
option B → n +10 are divisible
option C → n -100 = n - 1 - 99 → n - 1 and 99 both are divisible by 11. 

n - 100 will be divisible

option D → n +100000 => n + 10 + 99990 → n+10 and 99990 both are divisible by 11. 

n+100000 will be divisible

option E → n -100000 is not divisible

n - 1 - 99999 → n-1 is divisibe and 99990 is divisible but not 99999. 99999 as it will give a remainder of 9

E