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Which conclusion(s) are correct for the statements?Statements:Most woods are plants. No woods are trees. All trees are plant.Conclusions:I. Some plants are not trees.II. Some wood is trees.III. Some wood is not plants.Either II or IV followsBoth II and III followsBoth I and III followsOnly III follows

Question

Which conclusion(s) are correct for the statements?Statements:Most woods are plants. No woods are trees. All trees are plant.Conclusions:I. Some plants are not trees.II. Some wood is trees.III. Some wood is not plants.Either II or IV followsBoth II and III followsBoth I and III followsOnly III follows

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Solution

To determine which conclusions are correct for the given statements, let's analyze each conclusion one by one:

I. Some plants are not trees. According to the statements, it is stated that "No woods are trees." This means that there is no overlap between woods and trees. Since most woods are plants, it is possible that some plants are not trees. Therefore, conclusion I is correct.

II. Some wood is trees. The statements do not provide any information about the relationship between wood and trees. Therefore, we cannot conclude that some wood is trees. Hence, conclusion II is not correct.

III. Some wood is not plants. The statements state that "Most woods are plants." This implies that there is a possibility that some wood is not plants. Therefore, conclusion III is correct.

Based on our analysis, conclusions I and III are correct. Therefore, the correct answer is "Only III follows."

This problem has been solved

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