Mensa IQ Test Mensa IQ Syllogisms and Logical Arguments 5

Question 1

All prime numbers greater than 2 are odd. 7 is a prime number greater than 2. Therefore:

Accepted Answer

7 is odd

Answer

Modus ponens applied to a mathematical syllogism: 7 satisfies the premise conditions, so 7 is odd.

Question 2

Some musicians are athletes. All athletes are disciplined. Which is valid?

Accepted Answer

Some musicians are disciplined

Answer

Darii (AII-1 variant): the musician-athletes are disciplined → some musicians are disciplined.

Question 3

Premises: All frogs are amphibians. No amphibians live in deserts. Which follows?

Accepted Answer

No frogs live in deserts

Answer

Celarent: All F→A; No A→D → No F→D.

Question 4

Argument: 'If we ban assault rifles, next they'll ban all guns, then knives, then forks.' This is which fallacy?

Accepted Answer

Slippery slope

Answer

Assuming one small step inevitably leads to extreme consequences without evidence is the slippery slope fallacy.

Question 5

No insects have backbones. All beetles are insects. Which is valid?

Accepted Answer

No beetles have backbones

Answer

EAE-1 Celarent: No I have B; All Be are I → No Be have B.

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