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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: Some rocks are apples. Some apples are horses. Some horses are nails. Conclusions: (I) Some nails are apples. (II) Some horses are rocks.
Only conclusion (II) follows.
Both conclusions (I) and (II) follow.
Neither conclusion (I) nor (II) follows.
Only conclusion (I) follows.
Neither conclusion (I) nor (II) follows.
Visualize Venn diagrams: Since all premises are 'some' relationships, circles overlap partially; if circles don't touch, the conclusion cannot be guaranteed.
Visualize Venn diagrams: Since all premises are 'some' relationships, circles overlap partially; if circles don't touch, the conclusion cannot be guaranteed.
Analyze Premise Connections
Statements: (1) Some R are A, (2) Some A are H, (3) Some H are N. We have a chain R-A-H-N. In a Venn diagram, R intersects A, A intersects H, and H intersects N. Note that R does not necessarily connect to H or N.
Evaluate Conclusion (I): Some nails are apples
Nails (N) are connected to Horses (H), and Horses (H) are connected to Apples (A). However, there is no direct information linking Nails (N) to Apples (A). Since they could be separate, this does not follow.
Evaluate Conclusion (II): Some horses are rocks
Horses (H) are connected to Apples (A), and Apples (A) are connected to Rocks (R). Since there is no direct information linking Horses (H) to Rocks (R), this does not follow.
A: Incorrect because neither conclusion is logically necessary. B: Incorrect as (II) is not a forced conclusion. D: Incorrect as (I) is not a forced conclusion.
C is correct because neither conclusion is necessarily true based on the given statements; there is no direct link between rocks and horses, or nails and apples.
In 'Some' syllogisms, avoid assuming connections between terms that are not directly bridged by a middle term in the given statements.
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