Select the correct answerStatements: Some rivers are hills. No hill is taxi. All taxis are buses.Conclusions: I. Some buses are rivers. II. Some taxis are rivers. III. No bus is river.OptionsNone followsOnly III followsOnly either I or III followsOnly II followsOnly I follows
Question
Select the correct answerStatements: Some rivers are hills. No hill is taxi. All taxis are buses.Conclusions: I. Some buses are rivers. II. Some taxis are rivers. III. No bus is river.OptionsNone followsOnly III followsOnly either I or III followsOnly II followsOnly I follows
Solution
The correct answer is "None follows".
Here's the step by step reasoning:
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"Some rivers are hills." This means there is an overlap between rivers and hills.
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"No hill is taxi." This means there is no overlap between hills and taxis.
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"All taxis are buses." This means all taxis fall within the category of buses.
Now, let's analyze the conclusions:
I. "Some buses are rivers." We cannot confirm this because the statement "All taxis are buses" does not necessarily mean that some buses are rivers. The buses that are taxis could be completely separate from the rivers.
II. "Some taxis are rivers." This is not possible because "No hill is taxi" and "Some rivers are hills". So, there is no overlap between taxis and rivers.
III. "No bus is river." We cannot confirm this because while no taxi (which are all buses) is a river, there could be other buses that are rivers.
So, none of the conclusions follow from the given statements.
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