Statements: All flowers are leaves. All leaves are branches. Conclusions: I. All flowers are branches. II. Some branches are flowers
Correct answer: C. Both I and II
- A. Only I
- B. Only II
- C. Both I and II
- D. None
Explanation
The statements 'All flowers are leaves' and 'All leaves are branches' establish a transitive relationship. If all flowers are leaves, and all leaves are branches, then all flowers must be branches as well. This makes conclusion I true.Conclusion II, 'Some branches are flowers,' is also true because if all flowers are branches, then it logically follows that some (at least the flowers) branches are indeed flowers. Thus, both conclusions I and II are valid based on the statements provided.Options A and B are incorrect because they acknowledge only one correct conclusion when both are true. Option D is incorrect because it incorrectly asserts that neither conclusion follows from the statements.
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About Logical Deductions
Logical deductions require conclusions to be drawn from stated facts, conditions and relationships without adding outside information. The work includes handling all, some and none statements, necessary and sufficient conditions, ordering restrictions, true or false conclusions, and the difference between what must be true and what could be true.
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