Mensa IQ Test Mensa IQ Syllogisms and Logical Arguments 3

Question 1

If all roses are flowers and some flowers fade quickly, which is a valid conclusion?

Accepted Answer

Nothing can be concluded about roses fading

Answer

The 'some flowers' that fade may not overlap with roses; the conclusion is indeterminate.

Question 2

All successful students study hard. Tom did not study hard. Therefore:

Accepted Answer

Tom is not a successful student

Answer

Modus tollens: All S→H; ¬H(Tom) → ¬S(Tom). Tom is not a successful student.

Question 3

No cowards are heroes. Some soldiers are cowards. Which conclusion MUST be true?

Accepted Answer

Some soldiers are not heroes

Answer

The coward-soldiers are not heroes (no coward is a hero) → some soldiers are not heroes.

Question 4

All doctors are graduates. All graduates can think critically. Ram is a doctor. Which is true?

Accepted Answer

Ram can think critically

Answer

Ram→doctor→graduate→critical thinker by chaining both universals.

Question 5

Either the butler or the maid committed the crime. The maid is innocent. Therefore:

Accepted Answer

The butler committed the crime

Answer

Disjunctive syllogism: P∨Q; ¬Q → P. The butler committed the crime.

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