Direction The logic problems in this set present you with three true statements: Fact 1, Fact 2, and Fact 3. Then, you are given three more statements (labeled I, II, and III), and you must determine which of these, if any, is also a fact. One or two of the statements could be true; all of the statements could be true; or none of the statements could be true. Choose your answer based solely on the information given in the first three facts.
1.

The Kingston Mall has more stores than the Galleria.

The Four Corners Mall has fewer stores than the Galleria.

The Kingston Mall has more stores than the Four Corners Mall.

 

If the first two statements are true, the third statement is
A. I only B. II only
C. II and III only D. None of the statement is known fact
Answer and Explanation
Answer: A
Explanation:

From the first two statements, you know that the Kingston Mall has the most stores, so the Kingston Mall would have more stores than the Four Corners Mall.

2.

During the past year, Josh saw more movies than Stephen.

Stephen saw fewer movies than Darren.

Darren saw more movies than Josh.

 

If the first two statements are true, the third statement is
A. I only B. II only
C. II and III only D. None of the statements is a known fact.
Answer and Explanation
Answer: C
Explanation:

Because the first two sentences are true, both Josh and Darren saw more movies than Stephen.

However, it is uncertain as to whether Darren saw more movies than Josh.

3.

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
A. I only B. II only
C. II and III only D. None of the statements is a known fact.
Answer and Explanation
Answer: A
Explanation:

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

4.

All the offices on the 9th floor have wall-to-wall carpeting.

No wall-to-wall carpeting is pink.

None of the offices on the 9th floor has pink wall-to-wall carpeting.

 

If the first two statements are true, the third statement is
A. I only B. II only
C. II and III only D. None of the statements is a known fact.
Answer and Explanation
Answer: A
Explanation:

If no wall-to-wall carpeting is pink and all the offices have wall-to-wall carpeting, none of the offices has pink wall-to-wall carpeting.

5.

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
A. I only B. II only
C. II and III only D. None of the statement is known fact
Answer and Explanation
Answer: B
Explanation:

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.