Select the correct answerStatements:All mangoes are grapes.Some grapes are black.Conclusions: I. Some mangoes being black is a possibility.II. There is a possibility that some mangoes are not OptionsIf 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
Select the correct answerStatements:All mangoes are grapes.Some grapes are black.Conclusions: I. Some mangoes being black is a possibility.II. There is a possibility that some mangoes are not OptionsIf 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 correct answer is "If only conclusion I follows".
Here's the step by step reasoning:
Statement 1: All mangoes are grapes. This means that whatever is true for all grapes is also true for some mangoes.
Statement 2: Some grapes are black. This means that there is a possibility that some mangoes (which are also grapes according to statement 1) can be black.
So, Conclusion I: Some mangoes being black is a possibility. This is correct.
Conclusion II: There is a possibility that some mangoes are not. This is not mentioned or implied anywhere in the statements. So, this is incorrect.
Therefore, only conclusion I follows.
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