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Q: 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
Solution: 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.
Q: Each problem consists of three statements. Based on the first two statements, the third statement may be true, false, or uncertain. A fruit basket contains more apples than lemons. There are more lemons in the basket than there are oranges. The basket contains more apples than oranges. If the first two statements are true, the third statement is
Solution: There are fewer oranges than either apples or lemons, so the statement is true. Easy method: (Try this method to solve without any confusion) 1. A fruit basket contains more apples than lemons = App > Lem 2. There are more lemons in the basket than there are oranges = Lem > Org Now, Combine the above two results: App > Lem > Org 3. The basket contains more apples than oranges (App > ... > Org) = Yes. Therefore, the given 3rd statement is true.
Q: Joe is younger than Kathy. Mark was born after Joe. Kathy is older than Mark. If the first two statements are true, the third statement is
Solution: Joe is younger than Kathy and older than Mark, so Mark must be younger than Kathy.
Q: On the day the Barton triplets are born, Jenna weighs more than Jason. Jason weighs less than Jasmine. Of the three babies, Jasmine weighs the most. If the first two statements are true, the third statement is
Solution: We only know that Jasmine weighs more than Jason. There is no way to tell whether Jasmine also weighs more than Jenna.
Q: Oat cereal has more fiber than corn cereal but less fiber than bran cereal. Corn cereal has more fiber than rice cereal but less fiber than wheat cereal. Of the three kinds of cereal, rice cereal has the least amount of fiber. If the first two statements are true, the third statement is
Solution: From the first statement, we know that bran cereal has more fiber than both oat cereal and corn cereal. From the second statement, we know that rice cereal has less fiber than both corn and wheat cereals. Therefore, rice cereal has the least amount of fiber.
Q: 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
Solution: 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.
Q: 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
Solution: Spot is bigger than King, and Ralph is bigger than Spot. Therefore, King must be smaller than Ralph.
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