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
Options
A. true
B. false
C. uncertain
Correct Answer
true
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.
Logical Problems
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1. 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
We know only that long-tailed Gangles have spots. We cannot know for certain if long-tailed Gangles also have short hair.
2. 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
Because the first two statements are true, Penfield is west of Centerville and southwest of Middletown. Therefore, the third statement is false.
3. 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
Spot is bigger than King, and Ralph is bigger than Spot. Therefore, King must be smaller than Ralph.
4. Battery X lasts longer than Battery Y. Battery Y doesn't last as long as Battery Z. Battery Z lasts longer than Battery X. If the first two statements are true, the third statement is
The first two statements indicate that Battery Y lasts the least amount of time, but it cannot be determined if Battery Z lasts longer than Battery X.
5. 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
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.
6. The hotel is two blocks east of the drugstore. The market is one block west of the hotel. The drugstore is west of the market. If the first two statements are true, the third statement is
To the extent that a toothpick is useful, it has value.
8. Tom puts on his socks before he puts on his shoes. He puts on his shirt before he puts on his jacket. Tom puts on his shoes before he puts on his shirt. If the first two statements are true, the third statement is
There is not enough information to verify the third statement.
9. Three pencils cost the same as two erasers. Four erasers cost the same as one ruler. Pencils are more expensive than rulers. If the first two statements are true, the third statement is
10. Taking the train across town is quicker than taking the bus. Taking the bus across town is slower than driving a car. Taking the train across town is quicker than driving a car. If the first two statements are true, the third statement is