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The statement “Raphael runs every Sunday” is always true. Which of the following statements is also true?
A. If Raphael does not run, then it is not Sunday.
B. If Raphael runs, then it is Sunday.
C. If it is not Sunday, then Raphael does not run.
D. If it is Sunday, then Raphael does not run.
E. If it is Sunday, it is impossible to determine if Raphael runs.
Correct Answer: A
Explanation/Reference:
Explanation:
The statement “Raphael runs every Sunday” is equivalent to “If it is Sunday, Raphael runs.” The contra positive of a true statement is also true. The contra positive of “If it is Sunday, Raphael runs” is “If Raphael does not run, it is not Sunday.”
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