Three statements are followed by four conclusions I, II, III, and IV. Take the given statements to be true even if they seem to be at variance with commonly known facts and decide which of the given conclusions logically follow from the given statements.Statements:
1. All animals are vegetables.
2. All fishes are vegetables.
3. All birds are fishes. Conclusions:
I. Some birds are animals.
II. Some vegetables are fishes.
III. Some vegetables are animals.
IV. All birds are vegetables.
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In logical reasoning problems, always assume the given statements to be true, regardless of how they may conflict with reality.
Based on the given statements:
1. All animals are vegetables implies that every animal is a vegetable.
2. All fishes are vegetables implies that every fish is a vegetable.
3. All birds are fishes implies that every bird is a fish.
Now, let's check each conclusion:
Conclusion I: "Some birds are animals." This is not necessarily true because it contradicts the first statement.
Conclusion II: "Some vegetables are fishes." This is true because all fishes are vegetables.
Conclusion III: "Some vegetables are animals." This is true because all animals are vegetables.
Conclusion IV: "All birds are vegetables." This is true because all birds are fishes, and all fishes are vegetables.
Thus, conclusions II, III, and IV follow.