statements:All eggs are tomatoes.No tomato is a potato.All potatoes are goods.Conclusions:I. Some tomatoes may be goods.II. All eggs being goods is a possibilityOptionsIf only conclusion I followsIf either conclusion I or conclusion II followsIf both conclusion I and conclusion II followIf neither conclusion I nor conclusion II followsIf only conclusion II follows
Question
statements:All eggs are tomatoes.No tomato is a potato.All potatoes are goods.Conclusions:I. Some tomatoes may be goods.II. All eggs being goods is a possibilityOptionsIf only conclusion I followsIf either conclusion I or conclusion II followsIf both conclusion I and conclusion II followIf neither conclusion I nor conclusion II followsIf only conclusion II follows
Solution
The answer is "If neither conclusion I nor conclusion II follows".
Here's the step by step reasoning:
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All eggs are tomatoes: This means every egg is a tomato.
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No tomato is a potato: This means there is no overlap between tomatoes and potatoes.
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All potatoes are goods: This means every potato is a good.
Conclusion I: Some tomatoes may be goods. This is not possible because no tomato is a potato and all potatoes are goods. So, there is no overlap between tomatoes and goods.
Conclusion II: All eggs being goods is a possibility. This is also not possible because all eggs are tomatoes and no tomato is a potato and all potatoes are goods. So, there is no overlap between eggs and goods.
Therefore, neither conclusion I nor conclusion II follows.
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