Select the correct answerStatements:Some pens are pencils.Some pencils are not erasers.Conclusions:I. All erasers are pens.II. Some erasers are not pens.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 pens are pencils.Some pencils are not erasers.Conclusions:I. All erasers are pens.II. Some erasers are not pens.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
Solution
The correct answer is "If only conclusion II follows".
Here's the step by step reasoning:
Statement 1: Some pens are pencils. This means there is an overlap between pens and pencils.
Statement 2: Some pencils are not erasers. This means there is a part of pencils that doesn't overlap with erasers.
Conclusion I: All erasers are pens. We cannot conclude this from the statements because we don't know the exact relationship between erasers and pens.
Conclusion II: Some erasers are not pens. This could be true because some pencils are not erasers and some
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