Divisibility - Number Theory

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Divisibility - Number Theory

by sal_xcool » Thu Apr 14, 2011 8:56 pm
If x is an integer, then x(x - 1)(x - k) must be evenly divisible by three when k is any of the following values EXCEPT

A. -4
B. -2
C. -1
D. 2
E. 5

OA B

This must be easy question but I need to learn as many techniques as possible for number theory. If you could provide couple of different approach, that would be even better. Thanks in advance.

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by Stuart@KaplanGMAT » Thu Apr 14, 2011 9:02 pm
Hi!

This question has been discussed a number of times. Here's one thread:

https://www.beatthegmat.com/integers-mgmat-t13639.html

Enjoy!
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