Logical Reasoning

PT132 · S4 · Q6 University administrator: Any proposal

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University administrator: Any proposal for a new department will not be funded if there are fewer than 50 people per year available for hire in that field and the proposed department would duplicate more than 25 percent of the material covered in one of our existing departments.

Given

Any proposal for a new >50 + 25% → F department will not be funded if there are fewer than 50 people per year available for hire in that field and the proposed department would duplicate more than 25 percent of the material covered in one of our existing departments.

The proposed Area 25% Studies Department will duplicate more than 25 percent of the material covered in our existing Anthropology Department.

However, we will fund F the new department.

6.

Which one of the following statements follows logically from the university administrator's statements?

  1. Correct

    The field of Area Studies

    Why this is right

    By contrapositive of the first statement: >50 + 25% F F → 25% or >50 Given: F + 25% We can infer: >50

    Skill tested: Must be True · how this choice captures the argument's function is the move to repeat next time.

    85% picked this

  2. The proposed Area Studies Department

    Out of Scope

    Existing departments other than Anthropology are out of scope.

    2% picked this

  3. If the proposed Area Studies

    Unsupported Relationship

    The relationship 25% → F is not supported by the statements.

    4% picked this

  4. The Anthropology Department duplicates more

    Unsupported Relationship

    While we know that the proposed Area Studies department would duplicate more than 25 percent of the material in the Anthropology department, we don’t know whether the reverse is true. The Anthropology department may duplicate a much smaller percent of the proposed Areas Studies department.

    2% picked this

  5. The field of Area Studies

    Contradicted

    By contrapositive of the first statement: >50 + 25% → F F → 25% or >50 Given: F + 25% We can infer: >50

    7% picked this

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