Select the correct answerStatements:No mare is a puppy.All puppies are horses.Conclusions: I. All mares are horses.II. Some horses are not mares.OptionsIf only conclusion I followsIf either conclusion I or conclusion II followsIf both conclusion I and conclusion II followsIf neither conclusion I nor conclusion II followsIf only conclusion II follows
Question
Select the correct answerStatements:No mare is a puppy.All puppies are horses.Conclusions: I. All mares are horses.II. Some horses are not mares.OptionsIf only conclusion I followsIf either conclusion I or conclusion II followsIf both conclusion I and conclusion II followsIf neither conclusion I nor conclusion II followsIf only conclusion II follows
Solution
The correct answer is "If only conclusion II follows".
Here's the step-by-step reasoning:
Statement 1: No mare is a puppy. This means that the group of mares and the group of puppies are completely separate. There is no overlap between them.
Statement 2: All puppies are horses. This means that the group of puppies is a subset of the group of horses. Every puppy is also a horse.
Conclusion I: All mares are horses. There is nothing in the statements that suggests that all mares are horses. We only know that no mare is a puppy and all puppies are horses. Therefore, conclusion I does not follow.
Conclusion II: Some horses are not mares. Since all puppies are horses and no mare is a puppy, it means that there are some horses (the puppies) that are not mares. Therefore, conclusion II follows.
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