Practice Logical Problems

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

Question

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

We know from the first two statements that Lily runs fastest. Therefore, the third statement must be false.

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

Question

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

Because the first two statements are true, Eric is the youngest of the three, so the third statement must be false.

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

Question

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

Because the first two statements are true, raspberries are the most expensive of the three.

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

Question

Rover weighs less than Fido.
Rover weighs more than Boomer.
Of the three dogs, Boomer weighs the least.

If the first two statements are true, the third statement is

true

false

uncertain

According to the first two statements, Fido weighs the most and Boomer weighs the least.

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

Question

Class A has a higher enrollment than Class B.
Class C has a lower enrollment than Class B.
Class A has a lower enrollment than Class C.

If the first two statements are true, the third statement is

true

false

uncertain

From the first two statements, we know that of the three classes, Class A has the highest enrollment, so the third statement must be false.