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.
11.

Martina is sitting in the desk behind Jerome.

Jerome is sitting in the desk behind Bryant.

Bryant is sitting in the desk behind Martina.

 

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: B
Explanation:

Given the information in the first two statements, Bryant is sitting in front of both Jerome and Martina, so the third statement must be false.

12.

Spot is bigger than King and smaller than Sugar.

Ralph is smaller than Sugar and bigger than Spot.

King is bigger than Ralph.

 

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: B
Explanation:

Spot is bigger than King, and Ralph is bigger than Spot.

Therefore, King must be smaller than Ralph.

13.

Middletown is north of Centerville.

Centerville is east of Penfield.

Penfield is northwest of Middletown.

 

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:

Because the first two statements are true, Penfield is west of Centerville and southwest of Middletown.

Therefore, the third statement is false.

14.

All spotted Gangles have long tails.

Short-haired Gangles always have short tails.

Long-tailed Gangles never have short hair.

 

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:

We know only that long-tailed Gangles have spots.

We cannot know for certain if long-tailed Gangles also have short hair.

15.

All Lamels are Signots with buttons.

No yellow Signots have buttons.

No Lamels are yellow.

 

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:

We know that there are Signots with buttons, or Lamels, and that there are yellow Signots, which have no buttons.

Therefore, Lamels do not have buttons and cannot be yellow.