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.OptionsOnly I followsNone followsOnly either I or III followsOnly III followsOnly II 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.OptionsOnly I followsNone followsOnly either I or III followsOnly III followsOnly II 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 while all taxis are buses, no hill (and by extension, no river that is also a hill) is a taxi. There is no direct relationship established between buses and rivers.
II. "Some taxis are rivers." This is incorrect because no hill is a taxi, and some rivers are hills.
III. "No bus is river." We cannot confirm this because while no hill is a taxi and some rivers are hills, not all rivers are hills. There could be a river that is a bus.
Therefore, none of the conclusions follow from the given statements.
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