Three statements are given, followed by three conclusions numbered I, II and III. Assuming the statements to be true, even if they seem to be at variance with commonly known facts, decide which of the conclusions logically follow(s) from the statements.

Statements:

Some pens are pencils.

All pencils are wood.

Some wood are doors.

Conclusions:

I. Some doors are wood.

II. Some pencils are wood.

III. Some pencils are pens.