Meanwhile, I will assume the problem is indeed
b) If W is divisible by 7, is Z even? (I have taken off the wording "or odd," because the GMAT would write this simply as a yes/no question (i.e. it would either ask "is Z even?" or "is Z odd?").)
1) Z = W+1
2) W = 7
This one is quite similar to the last one, with one key difference: here, we go to the statements not knowing nearly as much. The fact that W is divisible by 7 doesn't guarantee anything one way or the other as to W's oddness or evenness -- or, more generally, being a multiple of an odd number gives no guarantee as to what kind of number you are -- in contrast to being a multiple of an even number, an attribute that guarantees that you yourself are even.
So, when we come to Statement (1) this time, we just know that Z is one more than either an odd or an even number, so it itself could likewise go either way (it will be whatever W is not, in terms of odd or even).
As in the similar problem, Statement (2) here tells us literally nothing about Z, so it's certainly not sufficient alone.
Then, though, when we combine the statements, we literally ascertain a value for Z -- Z = 1 + W and W = 7, so Z = 8. Knowing exactly what Z is clearly enables us to answer the question about whether it is even at this point.
Ashley Newman-Owens
GMAT Instructor
Veritas Prep
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