Q: 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
Solution: Because the first two statements are true, Penfield is west of Centerville and southwest of Middletown. Therefore, the third statement is false.
Q: 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
Solution: We know only that long-tailed Gangles have spots. We cannot know for certain if long-tailed Gangles also have short hair.
Q: 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
Solution: 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
Q: 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
Solution: The market is one block west of the hotel. The drugstore is two blocks west of the hotel, so the drugstore is west of the market.
Q: A toothpick is useful. Useful things are valuable. A toothpick is valuable. If the first two statements are true, the third statement is
Solution: To the extent that a toothpick is useful, it has value.To the extent that a toothpick is useful, it has value.
Q: 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
Solution: There is not enough information to verify the third statement.
Q: 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
Solution: Rulers are the most expensive item.
Q: 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
Solution: Both the car and the train are quicker than the bus, but there is no way to make a comparison between the train and the car.
Q: Cloudy days tend to be more windy than sunny days. Foggy days tend to be less windy than cloudy days. Sunny days tend to be less windy than foggy days. If the first two statements are true, the third statement is
Solution: Cloudy days are the most windy, but there is not enough information to compare the wind on the foggy days with the wind on the sunny days.
Q: At a parking lot, a sedan is parked to the right of a pickup and to the left of a sport utility vehicle. A minivan is parked to the left of the pickup. The minivan is parked between the pickup and the sedan. If the first two statements are true, the third statement is
Solution: This is the order of the cars from left to right: minivan, pickup, sedan, sport utility vehicle.
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