Bunuel
Wendy, a student, is an avid backgammon player. All students play either chess or checkers, but some checkers players do not play chess because they do not understand chess strategy. Backgammon players never play checkers, because they do not find checkers challenging. Therefore, Wendy must understand chess strategy.
Which of the following must be true for the conclusion drawn above to be logically correct?
(A) All chess players understand chess strategy.
(B) Backgammon is more challenging than checkers.
(C) All students who understand chess strategy play chess.
(D) Chess is more challenging than backgammon.
(E) All students who find backgammon challenging play checkers.
OFFICIAL EXPLANATION
The correct response is (A). The argument's premises boil down to the following:
1. Wendy is a student who plays backgammon.
2. All students play either chess or checkers, but no backgammon player plays checkers.
Based on these premises we can conclude that Wendy plays chess. In order to also conclude that Wendy understands chess strategy, we must assume that all chess players understand chess strategy:
Premise: X is an A.
Assumption: All A's are B's.
Conclusion: X is a B.
Statement (A) provides the assumption needed to draw the conclusion.