Mensa IQ Test Mensa IQ Syllogisms and Logical Arguments 1 — Questions and Answers
Question 1: All mammals are warm-blooded. All whales are mammals. Therefore:
- All whales are warm-blooded (Correct answer)
- Some warm-blooded animals are not whales
- All warm-blooded animals are whales
- No whales are warm-blooded
Correct answer: All whales are warm-blooded
The classic AAA-1 (Barbara) syllogism: All M are P, All S are M → All S are P.
Question 2: All artists are creative. Some scientists are artists. Therefore:
- Some scientists are creative (Correct answer)
- All scientists are creative
- No scientists are creative
- All creative people are scientists
Correct answer: Some scientists are creative
AII-1 (Darii): All A are C; some S are A → some S are C.
Question 3: No reptiles are warm-blooded. All snakes are reptiles. Therefore:
- No snakes are warm-blooded (Correct answer)
- Some snakes are warm-blooded
- All warm-blooded animals are snakes
- Some reptiles are warm-blooded
Correct answer: No snakes are warm-blooded
EAE-1 (Celarent): No R are W; All S are R → No S are W.
Question 4: All judges are lawyers. Some judges are women. Which conclusion is VALID?
- Some lawyers are women (Correct answer)
- All lawyers are women
- No women are lawyers
- All women are judges
Correct answer: Some lawyers are women
Some judges are women and all judges are lawyers, so those women are also lawyers → some lawyers are women.
Question 5: Some athletes are doctors. All doctors are educated. Which conclusion follows?
- Some athletes are educated (Correct answer)
- All athletes are educated
- No athletes are educated
- All educated people are athletes
Correct answer: Some athletes are educated
The athlete-doctors are educated (since all doctors are educated), so at least some athletes are educated.
Question 6: No fish can walk. Tuna is a fish. Therefore:
- Tuna cannot walk (Correct answer)
- Tuna can walk
- Some fish can walk
- Tuna is not a fish
Correct answer: Tuna cannot walk
Universal negative applied to a specific instance: Tuna ∈ fish, no fish walks → Tuna does not walk.
Question 7: All planets orbit a star. Earth orbits the Sun. The Sun is a star. Therefore:
- Earth is a planet (Correct answer)
- The Sun is a planet
- All stars have planets
- Earth orbits all stars
Correct answer: Earth is a planet
Earth orbits a star (the Sun), and all planets orbit a star — Earth satisfies the necessary condition for being a planet.
All mammals are warm-blooded.
All whales are mammals.
Therefore: