PTA Logic Puzzles

Question 1

In a logic puzzle, if A is taller than B and B is taller than C, what can you conclude?

Accepted Answer

A is taller than C

Answer

C is taller than A

Answer

They are all the same height

Answer

No conclusion can be drawn

Question 2

What is a syllogism?

Accepted Answer

A logical argument with two premises leading to a conclusion

Answer

A type of math problem

Answer

A grammar rule

Answer

A reading strategy

Question 3

If all roses are flowers and some flowers are red, can we conclude all roses are red?

Accepted Answer

No — we only know roses are flowers and some flowers are red; roses may or may not be red

Answer

Yes, all roses must be red

Answer

Only garden roses are red

Answer

Red is not a real color for flowers

Question 4

What is a Venn diagram used for in logic?

Accepted Answer

To visually represent relationships between sets and identify overlapping categories

Answer

To plot mathematical functions

Answer

To diagram sentences

Answer

To map geographical regions

Question 5

In a truth table, what value does "A AND B" have when A is true and B is false?

Accepted Answer

False — AND requires both conditions to be true

Answer

True

Answer

Sometimes true

Answer

Undefined

Question 6

What is a contrapositive?

Accepted Answer

If the statement "if A then B" is true, the contrapositive "if not B then not A" is also true

Answer

The opposite of a statement

Answer

A type of hypothesis

Answer

A negative assumption