Statements: All students are humans. All humans are animals. Conclusions: I. All students are animals. II. Some animals are humans.
Correct answer: A. Both I and II
- A. Both I and II
- B. Only I
- C. Only II
- D. None
Explanation
The correct answer is Option A: Both I and II. Conclusion I follows logically because if all students are humans and all humans are animals, then by transitive property, all students must also be animals. Conclusion II is true because if all humans are animals, then at least some of the animals are indeed humans. Option B is incorrect because it dismisses the valid conclusion II. Option C is incorrect because it overlooks the straightforward deduction of conclusion I. Option D is incorrect as both conclusions can be logically derived from the given 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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