Logical Reasoning: Syllogisms Flashcards
7 cards from real Crossover Aptitude Test practice questions. Tap to flip, then mark Knew It or Still Learning — missed cards come back until you master them.
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Premise 1: All squares are rectangles. Premise 2: All rectangles are parallelograms. What follows?
Answer: All squares are parallelograms.
By the transitive property of universal affirmatives, all squares must be parallelograms.
No X is Y. All Z are Y. Which is a valid conclusion?
Answer: No Z is X.
Since Z is entirely within Y and X has no overlap with Y, Z and X cannot overlap at all.
Some students pass exams. All who pass exams get certificates. Which is certain?
Answer: Some students get certificates.
The students who pass exams must get certificates, so some students definitely get certificates.
All birds have wings. Penguins are birds. Penguins cannot fly. What can be concluded?
Answer: Penguins have wings but cannot fly.
All birds have wings so penguins have wings, and the given fact states penguins cannot fly — both are true simultaneously.
Some politicians are honest. All honest people are trustworthy. Which is DEFINITELY true?
Answer: Some politicians are trustworthy.
The honest politicians are also trustworthy, so at least some politicians are trustworthy.
No herbivores eat meat. Lions eat meat. Therefore:
Answer: Lions are not herbivores.
By contrapositive, if an animal eats meat, it is not a herbivore — so lions are not herbivores.
All A are B. Some C are not B. Therefore:
Answer: Some C are not A.
The C that are not B cannot be A (since all A are B), so some C are definitely not A.