Select the correct answerStatements: Some papers are boards.No boards are cards.Conclusions: I. All cards being papers is a possibility.II. All boards being papers is a possibility.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: Some papers are boards.No boards are cards.Conclusions: I. All cards being papers is a possibility.II. All boards being papers is a possibility.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 I follows".
Here's the step by step reasoning:
Statement 1: Some papers are boards. This means there is at least some overlap between papers and boards.
Statement 2: No boards are cards. This means there is absolutely no overlap between boards and cards.
Conclusion I: All cards being papers is a possibility. Since there is no restriction on cards and papers relationship, all cards can be papers. So, conclusion I follows.
Conclusion II: All boards being papers is a possibility. This is not necessarily true because while some papers are boards, not all boards have to be papers. So, conclusion II does not follow.
Therefore, only conclusion I follows.
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