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.

(In reply to The one that seems obvious by Charlie)

The obvious answer was my initial answer, yet I then realized that nowhere in the problem is it stated the matrix of noughts and crosses is a game. Thus, even though there is some logic in there existing an equal number of noughts to crosses, the symmetry in the number is no more required than the symmetry of the noughts and
crosses. There may be, in fact, several logical answers to the problem.

Posted by Dej Mar on 2015-11-09 15:29:31