Question

Read this question based on the information given below:
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. Chess is more challenging than backgammon
• D. All students who find backgammon challenging play checkers

Answer 1

The Correct Option is A

To determine which option must be true for the conclusion "Wendy must understand chess strategy" to be logically correct, we analyze the given statements step-by-step.

• All students play either chess or checkers. However, some checkers players do not play chess because they do not understand chess strategy.
• It is stated that backgammon players never play checkers as they do not find it challenging. Therefore, Wendy, being a backgammon player, does not play checkers.
• Since Wendy cannot be a checkers player (because she plays backgammon), she must be a chess player, according to the initial condition that all students play either chess or checkers.
• For Wendy to understand chess strategy, it implies she plays chess, and since there are checkers players who do not understand chess strategy, the logical necessity here is that for Wendy to be determined to understand chess strategy, all who play chess must understand chess strategy.

Therefore, the statement that must be true for the conclusion to hold is: All chess players understand chess strategy.