SOLUTION: Alfred, Roger, Clay, Stan and Bob are the starters on the local basketball team. Two of them are left-handed and three are right-handed. Two are over 6 feet tall and 3 are under 6

From the condition, we have these three statements:

    (1)  Alfred and Clay are of the same handedness.

    (2)  Stan and Bob use different hands.

    (3)  Clay and Stan are of different hands.


Comparing statements (2) and (3), we see that Bob and Clay use the same hand.

Adding statement (1) to it, we see that the three, Bob, Clay and Alfred use the same hand; 

    hence, these three, A, B and C all are right-handed.


From it, we conclude that the left-handed are remaining two, Roger and Stan.

So, only Roger and Stan are potential candidates for the role of playing center.



But the problem, in the form as it is formulated, DOES NOT provide information needed to choose between these two.