Read the given statement(s) and conclusions carefully. Assuming that the information given in the statement(s) is true, even if it appears to be at variance with commonly known facts, decide which of the given conclusions logically follow(s) from the statement(s).

Statements:

Some vessels are container.

All ships are containers.

Conclusions:

(I) Some vessels are ships.

(II) All containers are ships. 

Given Statements:

Some vessels are container.

All ships are containers.

The least possible Venn diagram for the given statement is:

Conclusions:

I. Some vessels are ships - False (There's no definite information linking vessels directly to ships. So, this is a possibility, not a definite conclusion.)

II. All containers are ships - False (The statement says "All ships are containers", which means ships are a subset of containers. It does not mean that all containers are ships. There can be containers that are not ships.)

So, neither conclusion I nor II follows.

Hence, the correct answer is "Option 2".