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Moderate

Divisibility of Three Consecutive Integers

GMAT-4ASG5V

If $x$, $y$, and $z$ are a set of positive, consecutive integers where $x< y< z$, what number is $x+y+z$ always divisible by?

A

$2$

B

$3$

C

$4$

D

All even numbers

E

None of the above