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Statements: No plant is a tree. All trees are roots. Some branches are roots Conclusions: I. All roots being plants is a possibility II. Some roots are definitely trees III. At least some branches are definitely not trees

Question

Statements: No plant is a tree. All trees are roots. Some branches are roots Conclusions: I. All roots being plants is a possibility II. Some roots are definitely trees III. At least some branches are definitely not trees

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Solution

The given statements are:

  1. No plant is a tree.
  2. All trees are roots.
  3. Some branches are roots.

Let's analyze the conclusions one by one:

I. All roots being plants is a possibility: This is not possible because the first statement clearly says that no plant is a tree and the second statement says that all trees are roots. So, there can't be a situation where all roots are plants.

II. Some roots are definitely trees: This is true because the second statement says that all trees are roots. So, there are definitely some roots which are trees.

III. At least some branches are definitely not trees: This is also true because there is no direct relationship between branches and trees mentioned in the statements. So, it is possible that some branches are not trees.

So, the conclusions II and III are true based on the given statements.

This problem has been solved

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