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

Transitive property: if A > B and B > C, then A > C.

Question 2

What is a syllogism?

Accepted Answer

A logical argument with two premises leading to a conclusion

Answer

A syllogism uses deductive reasoning: "All dogs are animals. Rex is a dog. Therefore Rex is an animal."

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

This is a logical fallacy. The fact that some flowers are red does not mean all flowers (including roses) are red.

Question 4

What is a Venn diagram used for in logic?

Accepted Answer

To visually represent relationships between sets and identify overlapping categories

Answer

Venn diagrams use overlapping circles to show relationships between groups, making it easy to see what items belong to multiple categories.

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

The AND operator requires both inputs to be true for the output to be true. If either is false, the result is false.

(PTA) Practice Tests Academy Practice Test