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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. You have to decide which conclusion/s logically follow/s from the given statements. Statements: All kites are rocks. All rocks are lakes. All lakes are planets. Conclusions: (I) All rocks are planets. (II) At least some lakes are kites.
Only conclusion (II) follows.
Only conclusion (I) follows.
Both conclusions (I) and (II) follow.
Neither conclusion (I) nor (II) follows.
Both conclusions (I) and (II) follow.
Apply the transitive property of Syllogisms: If A is inside B, and B is inside C, then A is inside C. Also, remember that 'All' implies 'Some'.
Apply the transitive property of Syllogisms: If A is inside B, and B is inside C, then A is inside C. Also, remember that 'All' implies 'Some'.
Visualize the Nested Hierarchy
The statements create a series of concentric circles: Kites are inside Rocks, Rocks are inside Lakes, and Lakes are inside Planets. The hierarchy is: Kites < Rocks < Lakes < Planets.
Evaluate Conclusion (I)
Since all Rocks are inside Lakes and all Lakes are inside Planets, it logically follows that all Rocks must be inside Planets. Therefore, Conclusion (I) is true.
Evaluate Conclusion (II)
Since all Kites are inside Lakes, it naturally implies that a portion of the Lakes are occupied by Kites. Therefore, 'At least some lakes are kites' is a valid logical inference. Conclusion (II) is true.
A is incorrect because it misses Conclusion (I). B is incorrect because it misses Conclusion (II). D is incorrect because both conclusions are logically valid based on the transitive property.
C is correct because both conclusions directly follow from the transitive nature of the given inclusions: Kites in Rocks, Rocks in Lakes, and Lakes in Planets.
In Syllogism questions, if all items are positive, a negative conclusion is almost always false. Also, remember that 'All' entails 'Some', but 'Some' does not entail 'All'.
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