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Statements:

All plastics are glasses.
Some sponges are glasses.
All sponges are clothes.
All clothes are liquids.

Conclusions:
I. All liquids are sponges.
II. Some plastics are clothes.
III. All glasses are plastics.
IV. All liquids are clothes.





Solution

Analyze:

Plastics ⊆ Glasses

Sponges ⊆ Glasses

Sponges ⊆ Clothes

Clothes ⊆ Liquids

Now check conclusions:

I. All liquids are sponges → FALSE.
Liquids include many other things. No reverse relation.

II. Some plastics are clothes → FALSE.
Plastics ⊆ Glasses but no link to Clothes.
(No intersection shown).

III. All glasses are plastics → FALSE.
Only Plastics ⊆ Glasses, not reverse.

IV. All liquids are clothes → FALSE.
Given: All clothes ⊆ liquids, reverse is NOT true.

So none of the conclusions follow.


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