Select the correct answerStatements:All funnels are flasks.No flask is a beaker.All funnels are test tubes.Conclusions: I. Some test tubes are not beakers.II. No funnel is a beaker.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:All funnels are flasks.No flask is a beaker.All funnels are test tubes.Conclusions: I. Some test tubes are not beakers.II. No funnel is a beaker.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 both conclusion I and conclusion II follows".
Here's the step-by-step reasoning:
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The first statement says "All funnels are flasks". This means every funnel is a flask.
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The second statement says "No flask is a beaker". This means there is no overlap between flasks and beakers. Since all funnels are flasks, it also means that no funnel can be a beaker.
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The third statement says "All funnels are test tubes". This means every funnel is a test tube.
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Conclusion I says "Some test tubes are not beakers". Since all funnels are test tubes and no funnel is a beaker (from the second statement), it means that some test tubes are indeed not beakers. So, conclusion I follows.
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Conclusion II says "No funnel is a beaker". As explained in point 2, no funnel can be a beaker. So, conclusion II also follows.
Therefore, both conclusions I and II follow the given statements.
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