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 either conclusion I or conclusion II followsIf both conclusion I and conclusion II followsIf neither conclusion I nor conclusion II followsIf only conclusion I 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 either conclusion I or conclusion II followsIf both conclusion I and conclusion II followsIf neither conclusion I nor conclusion II followsIf only conclusion I 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 mares and puppies are two completely separate groups. 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.
Conclusion I: All mares are horses. This conclusion does not follow from the statements. The statements tell us nothing about mares being horses.
Conclusion II: Some horses are not mares. This conclusion does follow from the statements. Since all puppies are horses, and no mare is a puppy, it means that there are some horses (the puppies) that are not mares.
So, only conclusion II follows from the statements.
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