# Logical Reasoning - Logical Problems

Directions to Solve
Each problem consists of three statements. Based on the first two statements, the third statement may be true, false, or uncertain.

1.
Tanya is older than Eric.
Cliff is older than Tanya.
Eric is older than Cliff.
If the first two statements are true, the third statement is
true
false
uncertain
Explanation:
Because the first two statements are true, Eric is the youngest of the three, so the third statement must be false.

2.
Blueberries cost more than strawberries.
Blueberries cost less than raspberries.
Raspberries cost more than strawberries and blueberries.
If the first two statements are true, the third statement is
true
false
uncertain
Explanation:
Because the first two statements are true, raspberries are the most expensive of the three.

3.
All the trees in the park are flowering trees.
Some of the trees in the park are dogwoods.
All dogwoods in the park are flowering trees.
If the first two statements are true, the third statement is
true
false
uncertain
Explanation:
All of the trees in the park are flowering trees, So all dogwoods in the park are flowering trees.

4.
Mara runs faster than Gail.
Lily runs faster than Mara.
Gail runs faster than Lily.
If the first two statements are true, the third statement is
true
false
uncertain
Explanation:
We know from the first two statements that Lily runs fastest. Therefore, the third statement must be false.

5.
Apartments in the Riverdale Manor cost less than apartments in The Gaslight Commons.
Apartments in the Livingston Gate cost more than apartments in the The Gaslight Commons.
Of the three apartment buildings, the Livingston Gate costs the most.
If the first two statements are true, the third statement is
true
false
uncertain