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Statements: 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

Statements: 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

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Solution

The conclusions can be derived as follows:

I. Some buses are rivers: We know that all taxis are buses, but no hill (and by extension, some rivers) is a taxi. Therefore, we cannot definitively say that some buses are rivers. This conclusion does not follow.

II. Some taxis are rivers: As stated above, no hill is a taxi, and some rivers are hills. Therefore, these rivers cannot be taxis. This conclusion does not follow.

III. No bus is river: We know that all taxis are buses, but we cannot definitively say that no bus is a river because some rivers could be buses that are not taxis. This conclusion does not follow.

So, the correct option is: None follows.

This problem has been solved

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