Select the correct answerStatements:Some trees are leaves.No trees is flowers.Conclusions: I. Some flowers are not leaves.II. Some leaves are not flowers.OptionsIf either conclusion I or conclusion II followsIf both conclusion I and conclusion II followsIf neither conclusion I nor conclusion II followsIf only conclusion I followsIf only conclusion II follows
Question
Select the correct answerStatements:Some trees are leaves.No trees is flowers.Conclusions: I. Some flowers are not leaves.II. Some leaves are not flowers.OptionsIf either conclusion I or conclusion II followsIf both conclusion I and conclusion II followsIf neither conclusion I nor conclusion II followsIf only conclusion I followsIf only conclusion II follows
Solution
The correct answer is "If both conclusion I and conclusion II follows".
Here's the step by step reasoning:
Statement 1: Some trees are leaves. This implies that there is an overlap between trees and leaves.
Statement 2: No trees is flowers. This implies that trees and flowers are two completely separate groups.
Conclusion I: Some flowers are not leaves. This is true because we know from Statement 2 that no trees are flowers, and from Statement 1 that some trees are leaves. Therefore, the flowers that are not trees cannot be leaves.
Conclusion II: Some leaves are not flowers. This is also true because we know from Statement 1 that some trees are leaves, and from Statement 2 that no trees are flowers. Therefore, the leaves that are trees cannot be flowers.
Therefore, both conclusions follow from the given statements.
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