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Logical Reasoning: Syllogisms Flashcards

6 cards from real AMCAT practice questions. Tap to flip, then mark Knew It or Still Learning — missed cards come back until you master them.

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  1. All politicians are corrupt. Some corrupt people are criminals. Which conclusion definitely follows?

    Answer: Some corrupt people are politicians

    'All politicians are corrupt' converts to 'Some corrupt people are politicians'. This definitely follows.

  2. No teacher is a student. Some students are intelligent. Which conclusion follows?

    Answer: Some intelligent people are not teachers

    Some students are intelligent. No teacher is a student. Those intelligent students are not teachers → some intelligent people are not teachers.

  3. All A are B. No B is C. All C are D. Which conclusion is valid?

    Answer: No A is C

    All A are B and no B is C → A is a subset of B and B has no overlap with C, so no A is C.

  4. Some cats are black. All black things are dark. Conclusion I: Some cats are dark. Conclusion II: All dark things are cats.

    Answer: Only I follows

    I: Some cats are black + all black things are dark → some cats are dark (valid). II: Cannot reverse 'All black are dark' — invalid.

  5. No P is Q. All R is Q. Conclusion: No R is P.

    Answer: True

    All R is a subset of Q and P has no overlap with Q → no R can be P.

  6. All glasses are breakable. This object is not breakable. Conclusion: This object is not a glass.

    Answer: True

    Contrapositive of 'All glasses are breakable': 'Not breakable → not a glass'. Object is not breakable → not a glass.