Statements:Some plants are mountains.All plants are rivers.Conclusions:I. All mountains are plants.II. At least some mountains are rivers.Conclusion I follows.Conclusion II follows.Either conclusion I or conclusion II follows.Both conclusion I and conclusion II follows.
Question
Statements:Some plants are mountains.All plants are rivers.Conclusions:I. All mountains are plants.II. At least some mountains are rivers.Conclusion I follows.Conclusion II follows.Either conclusion I or conclusion II follows.Both conclusion I and conclusion II follows.
Solution 1
The given statements are:
- Some plants are mountains.
- All plants are rivers.
From these statements, we can draw the following conclusions:
I. All mountains are plants. This conclusion does not follow from the given statements. The first statement only says that some plants are mountains, not all mountains are plants.
II. At least some mountains are rivers. This conclusion follows from the given statements. If some plants are mountains and all plants are rivers, then it follows that at least some mountains are rivers.
So, only conclusion II follows.
Solution 2
The given statements are:
- Some plants are mountains.
- All plants are rivers.
From these statements, we can draw the following conclusions:
I. All mountains are plants. - This conclusion does not follow from the given statements. The first statement only says that some plants are mountains, not all mountains are plants.
II. At least some mountains are rivers. - This conclusion follows from the given statements. If some plants are mountains and all plants are rivers, then it follows that some mountains (the ones that are plants) are rivers.
So, only conclusion II follows.
Solution 3
The given statements are:
- Some plants are mountains.
- All plants are rivers.
From these statements, we can draw the following conclusions:
I. All mountains are plants. - This conclusion does not follow from the given statements. The first statement only says that some plants are mountains, not all mountains are plants.
II. At least some mountains are rivers. - This conclusion follows from the given statements. If some plants are mountains and all plants are rivers, then it follows that at least some mountains are rivers.
So, only conclusion II follows.
Solution 4
The given statements are:
- Some plants are mountains.
- All plants are rivers.
From these statements, we can draw the following conclusions:
I. All mountains are plants. This conclusion does not follow from the given statements. The first statement only says that some plants are mountains, not all mountains are plants.
II. At least some mountains are rivers. This conclusion follows from the given statements. If some plants are mountains and all plants are rivers, then it follows that at least some mountains are rivers.
So, only conclusion II follows.
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