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Problem Solving (PS) | Re: f(x)=x^2−1 For which of the following values of x is f(x) divisible by

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septwibowo wrote:

Luckisnoexcuse wrote:
Bunuel wrote:
f(x)=x^2−1. For which of the following values of x is f(x) divisible by 6?

A. 1812
B. 2721
C. 3118
D. 4245
E. 5653


Divisible by 6 = Divisible by 2 & Divisible by 3

none of the numbers should be divisible by 3 as they have to follow x^2-1 divisible by 3
only A, C & E left as the sum of their digits is not divisible by 3 B & D are out
now check the last digit of A , C and E
2^2-1 = 3 which is not divisible by 2 ...A out
8^2-1 = 3 which is not divisible by 2 ...C out
3^2-1 = 8 divisible
...

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