High School Placement Test (HSPT) Practice Test

All T's are either green-eyed Y's or blue-tailed G's. All blue-tailed G's have brown eyes and red noses. Some T's have red noses. If the first two statements are true then the third is:

1. true

2. false

3. uncertain

4. none of the above

The correct answer is: true

To determine the validity of the third statement, it's important to analyze the logical relationships outlined in the first two statements. The first statement establishes that all T's belong exclusively to one of two categories: green-eyed Y's or blue-tailed G's. The second statement provides information about blue-tailed G's, indicating that all of these G's possess brown eyes and red noses. Given that some T's are classified as blue-tailed G's, and since it is established that blue-tailed G's have red noses, it follows directly that those T's that are blue-tailed G's must also have red noses. The third statement asserts that some T's have red noses. Since we have established that at least some T's fall into the category of blue-tailed G's, and all blue-tailed G's have red noses, it logically follows that at least those T's that are blue-tailed G's do indeed have red noses. Therefore, the claim that some T's have red noses is supported by the information given in the first two statements, making it a true statement.