Statements:Some hills are rivers. Some rivers are deserts. All deserts...
Explanation:
Some hills are rivers. Some rivers are deserts.
Since both the premises are particular, no definite conclusion follows.
Some rivers are deserts. All deserts are roads.
Since one premise is particular, the conclusion must be particular and shouldn't contain the middle term. So, it follows that 'Some rivers are roads'. I is the converse of this conclusion and so it holds.
Some hills are rivers. Some rivers are roads.
Again, since both the premises are particular, no definite conclusion follows.
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Statements:Some hills are rivers. Some rivers are deserts. All deserts...
Introduction:
The given statements provide information about the relationships between hills, rivers, deserts, and roads. Based on these statements, we need to determine which conclusions logically follow.
Given Statements:
1. Some hills are rivers.
2. Some rivers are deserts.
3. All deserts are roads.
Conclusions:
Let's evaluate each conclusion individually:
Conclusion 1: Some roads are rivers.
This conclusion can be drawn from the given statements. If some hills are rivers and some rivers are deserts, then there must be some overlap where rivers and hills intersect, which means there are some roads that are also rivers. Therefore, this conclusion follows.
Conclusion 2: Some roads are hills.
This conclusion cannot be logically derived from the given statements. Although some hills are rivers and all deserts are roads, there is no direct or indirect relationship mentioned between roads and hills. Therefore, this conclusion does not follow.
Conclusion 3: Some deserts are hills.
This conclusion also does not follow from the given statements. While some hills are rivers and some rivers are deserts, there is no information provided about any relationship between deserts and hills. Therefore, this conclusion does not follow.
Conclusion Summary:
Based on the evaluation of each conclusion, we can conclude that:
- Only conclusion 1 ("Some roads are rivers") follows from the given statements.
- Conclusion 2 ("Some roads are hills") does not follow.
- Conclusion 3 ("Some deserts are hills") does not follow.
Conclusion:
Therefore, the correct answer is option 'B' - Only conclusion I follows.