Logical Reasoning

PT127 · S2 · Q19 None of the students

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None of the students taking literature are taking physics, but several of the students taking physics are taking art.

Given

None of the students taking literature L → ~P are taking physics.

Several of the students taking physics P ↢some↣ A are taking art.

None of the students taking rhetoric R → ~P are taking physics.

19.

Which one of the following statements follows logically from the statements above?

  1. Correct

    There are students who are

    Why this is right

    This follows from the first and A ↢some↣ P second premises. P → ~L ∴ A ↢some↣ ~L

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

    75% picked this

  2. None of the students taking

    Too Strong

    It can be inferred that some A ↢some↣ P students who take art do not P → ~L take literature, but it cannot ∴ A ↢some↣ ~L be inferred that none of them do.

    9% picked this

  3. There are students who are

    Unsupported Relationship

    It can be inferred that some P → ~R students who do not take P → ~L rhetoric do not take literature, ∴ ~R ↢some↣ ~L but it cannot be inferred that some students who do take rhetoric do not take literature.

    5% picked this

  4. None of the students taking

    Unsupported Relationship

    The relationship between P → ~R rhetoric and literature that P → ~L can be inferred is that some ∴ ~R ↢some↣ ~L students who do not take rhetoric do not take literature.

    3% picked this

  5. There are students who are

    Unsupported Relationship

    While it can be inferred that A ↢some↣ P some students who take art P → ~L do not take literature, that ∴ A ↢some↣ ~L does not mean that some students who take art do take literature.

    8% picked this

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