LG – College Applicants

  • Reviewed by: Matt Riley
  • 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

    Which one of the following could be a complete and accurate matching of applicants to the colleges to which they are accepted?
    A. X: Michelle, Savannah; Y: Oscar, Raul; Z: North, Pachai, Quinn
    B. X: Raul, Quinn; Y: Oscar, North; Z: Pachai, Michelle, Savannah
    C. X: Michelle, Savannah; Y: Pachai, Oscar; Z: North, Quinn, Raul
    D. X: Michelle, Savannah; Y: Quinn, North; Z: Pachai, Oscar, Raul
    E. X: Michelle, Quinn; Y: Savannah, North; Z: Pachai, Oscar, Raul

    Answer
    CORRECT ANSWER (D) – X: Michelle, Savannah; Y: Quinn, North; Z: Pachai, Oscar, Raul
    EXPLANATION: This is an elimination question. So we apply each rule to the answer choices to see which answer choices violate it. Answer choice (A) violates rule #2. Answer choice (B) violates rule #3. Answer choice (C) violates rule # 4. Answer choice (E) violates rule # 1.

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