Every student who passes logic also passes mathematics. Luis did not pass mathematics. Rita passed logic. Which statement must be true?

Answer and explanation

Correct answer: D. Luis did not pass logic

  1. Step 1: The rule is: logic passed implies mathematics passed. Step 2. Luis failed mathematics, so he cannot have passed logic (the contrapositive). Answer: Luis did not pass logic. Why not the others: Rita's result is not tied to Luis's, and an exception to the rule is not allowed.

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