The puzzle “Noughts and Crosses” was published in a book intended to train the reader towards his application for Mensa membership.
Basically three upper rows of a 4x4 matrix were given (see below) and the solver was requested to “fill the bottom line of the matrix with a combination of noughts and crosses that logically completes the matrix” (exact quote):

 
X  O  O  X
O  X  X  X
X  O  X  X
?  ?  ?  ?

I have found several logical answers in addition to the single “official” answer provided in the book.

I request you solvers to follow suit and to justify all your choices.

Source: will be provided later.