Read the given statements and conclusions carefully. Assuming that the information given in the statements 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 statements.

Statements:
1. All doors are teachers.
2. All teachers are cups.

Conclusions:
I. All cups are doors.
II. All doors are cups.
III. All teachers are doors.
IV. Some cups are teachers.

The basic diagram for the given statements is

I. All cups are doors

From the basic diagram, all cups are not doors. Hence conclusion I do not follow.

II. All doors are cups

From the basic diagram, all doors are cups. Hence conclusion II follows.

III. All teachers are doors

From the basic diagram, all teachers are not doors. Hence conclusion III do not follow.

IV. Some cups are teachers

From the basic diagram, some cups are teachers. Hence conclusion IV follows.

$$\therefore\ $$Only conclusions II and IV follow the given statements

Hence, the correct answer is Option C