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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 II followsIf only conclusion I followsIf both conclusion I and conclusion II followsIf either conclusion I or conclusion II followsIf neither conclusion I nor 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 II followsIf only conclusion I followsIf both conclusion I and conclusion II followsIf either conclusion I or conclusion II followsIf neither conclusion I nor conclusion II follows

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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 in the statements, it is possible that all cards could be papers. So, conclusion I follows.

Conclusion II: All boards being papers is a possibility. This is not possible because while some papers are boards, not all boards can be papers as some boards

This problem has been solved

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