High School Placement Test (HSPT) Practice Test

All people eaters are purple. No cyclops eat people. No cyclops are purple. If the first 2 statements are true, the last is?

1. True

2. False

3. Uncertain

The correct answer is: Uncertain

To analyze the given statements, let's break them down logically: 1. The first statement says that all people eaters are purple. This tells us that if something is classified as a people eater, it must be purple. In symbolic logic, we can express this as: If X is a people eater, then X is purple. 2. The second statement claims that no cyclops eat people. This means that if something is a cyclops, it does not consume people, which can be expressed as: If X is a cyclops, then X does not eat people. From these two statements, we derive that cyclops cannot be people eaters, since people eaters must eat people, and cyclops do not eat people. 3. The final statement asserts that no cyclops are purple. Given that all people eaters are purple and cyclops do not eat people, we can't definitively conclude that cyclops cannot be purple based solely on the information provided. It's possible that cyclops might belong to another category that is not related to being a people eater; therefore, the assertion that no cyclops are purple cannot be determined as necessarily true or false. In logical terms, since we cannot definitively derive a truth about the color of cycl