Select the correct answerStatements:All fruits are tasty.No tasty is good.All goods are yummy.Conclusions:I. All yummy things being tasty is a possibility.II. All fruits being yummy is a possibility.OptionsIf either conclusion I or conclusion II followsIf both conclusion I and conclusion II followIf neither conclusion I nor conclusion II followsIf only conclusion I followsIf only conclusion II follows
Question
Select the correct answerStatements:All fruits are tasty.No tasty is good.All goods are yummy.Conclusions:I. All yummy things being tasty is a possibility.II. All fruits being yummy is a possibility.OptionsIf either conclusion I or conclusion II followsIf both conclusion I and conclusion II followIf 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: All fruits are tasty. Statement 2: No tasty is good. Statement 3: All goods are yummy.
Conclusion I: All yummy things being tasty is a possibility. This conclusion does not follow. According to the statements, all goods are yummy, but no tasty thing is good. Therefore, it's not possible for all yummy things to be tasty.
Conclusion II: All fruits being yummy is a possibility. This conclusion follows. The statements do not provide any information that would contradict the possibility of all fruits being yummy. While all fruits are tasty, and no tasty thing is good, this does not preclude fruits from being yummy.
Therefore, only conclusion II follows.
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