Hi All,

It looks like most of the posters in this thread recognized that this question is a variation on an Overlapping Sets question. It can be solved in a variety of ways (mostly algebraic), but there is an opportunity to TEST VALUES. You just have to be careful with your notes:

We're given 4 variables to work with:

Z = Total number of students

X = Total who study French

Y = Total who study German

W = Total who study French AND German

We're asked for the number that study NEITHER French NOR German.

Let's TEST VALUES. I'm going to keep things simple, but the note-taking here is crucial to getting the correct answer.

IF...

1 studies just French

1 studies just German

1 studies BOTH French and German

We have

X = 2 (since 1 speaks just french and another speaks both)

Y = 2 (since 1 speaks just German and another speaks both

W = 1

Now we can set the "neither" group to any positive value we want; I'm going to choose a larger number to set it apart from the others.

Neither = 5

That makes the TOTAL number of students: 1 + 1 + 1 + 5 = 8

Z = 8

So, using the values....

X = 2

Y = 2

W = 1

Z = 8

We're looking for an answer that equals 5.

Answer A: 8+1-2-2 = 5 This IS a match

Answer B: 8-1-2-2 = 3 This is NOT a match

Answer C: 8-1-2+2 = 7 This is NOT a match

Answer D: 1+2+2-5 = 0 This is NOT a match

Answer E: 1-2-2-5 = -8 This is NOT a match

Final Answer:

GMAT assassins aren't born, they're made,

Rich

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# Rich Cohen

Co-Founder & GMAT Assassin

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