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Question

Accepted Answer

Let's analyze the statements and conclusions step by step:

Statements:
1. Some Toys are Plastic. (T ∩ P ≠ ∅)
2. Some Plastic are Metal. (P ∩ M ≠ ∅)
3. No Metal is Chemical. (M ∩ C = ∅)

Conclusions:
(I) Some Chemicals are Plastic.
(II) No Toy is a Chemical.

Analysis:
(I) Some Chemicals are Plastic: There is no direct or indirect connection between Chemicals and Plastics in the statements. The only information about Chemicals is that no Metal is a Chemical. Therefore, we cannot conclude that some Chemicals are Plastic. Conclusion (I) does not follow.

(II) No Toy is a Chemical: The only restriction is that no Metal is a Chemical. Toys can be Plastic, and Plastics can be Metal, but not all Toys are necessarily Metal. There could be Toys that are not Metal, and nothing prevents them from being Chemicals. Therefore, we cannot conclude that no Toy is a Chemical. Conclusion (II) does not follow.

Hence, neither conclusion (I) nor (II) follows.

Answer

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