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Read the given statements and conclusions carefully. You have to take the given statements to be true even if they seem to be at variance from commonly known facts and decide which conclusion(s) logically follow(s) from the given statements. Statements: All onions are tomatoes. Some tomatoes are potatoes. Conclusions: I. At least some tomatoes are onions. II. Some onions are potatoes.
Neither conclusion I nor II follows
Both conclusions I and II follow
Only conclusion I follows
Only conclusion II follows
Only conclusion I follows
In syllogisms with 'All A are B' and 'Some B are C', the relation between A and C is always 'possible but not certain'. Therefore, conclusions about the relationship between A and C are 'does not follow'.
In syllogisms with 'All A are B' and 'Some B are C', the relation between A and C is always 'possible but not certain'. Therefore, conclusions about the relationship between A and C are 'does not follow'.
Analyze Statement 1
All onions are tomatoes: This implies onions are a subset of tomatoes. Therefore, any onion is automatically a tomato.
Analyze Statement 2
Some tomatoes are potatoes: This indicates an intersection between the tomato set and the potato set.
Evaluate Conclusion I
At least some tomatoes are onions: Since all onions are tomatoes, the part of the tomato set that consists of onions is certainly part of the 'tomatoes' category. This is true.
Evaluate Conclusion II
Some onions are potatoes: The statements do not provide a direct link between onions and potatoes. While it is possible, it is not logically certain based on the given premises.
A: Incorrect because both don't follow; B: Incorrect because only I follows; D: Incorrect because II does not necessarily follow.
C is correct because Conclusion I follows from the inclusion of onions within tomatoes, but Conclusion II cannot be logically deduced from the given premises.
In Syllogism questions, if a conclusion is possible but not necessary (cannot be drawn with absolute certainty from the given statements), it is considered as 'does not follow'.
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