Seven college applicants – Michelle, North, Oscar, Pachai, Quinn, Raul, and Savannah – are admitted to three different colleges – X Y and Z. Two students are admitted to X, two students are admitted to Y, and three students are admitted to Z. The following conditions must apply:
1. Michelle is admitted to the same college as Savannah
2. Pachai is admitted to a different college than Quinn
3. If Oscar is admitted to college Y, then North is admitted to college Z
4. Pachai is admitted to Z
5. If Michelle is not accepted to college Z, then which one of the following could be true?
A. North and Oscar are both accepted to X
B. Raul and North are both accepted to X
C. Savannah is accepted to Z
D. Raul and Oscar are both accepted to Y
E. Quinn and Oscar are both accepted to X
EXPLANATION: If M is not accepted to Z, that means that M has to fill up both spots in either college Y or college Z, because M and S have to go together per rule #1. Also, we know that Q cannot be in Z, per rule #2, so Q must also be in college X or Y. Therefore, our correct answer choice needs to include Q for either college X or college Y.