Question 51 Answer and Explanation _ACT OG5 Form 67A Math Section

51. If the statement “If a cat is tricolor, then it is a female” were true, which of the following statements would also have to be true?

A. “If a cat is a female, then it is tricolor.”

B. “If a cat is not a female, then it is tricolor.”

C. “If a cat is not a female, then it is not tricolor.”

D. “If a cat is not tricolor, then it is a female.”

E. “If a cat is not tricolor, then it is not a female.”

Answer and Explanation

Your Answer is

Correct Answer is C

Explanation

Examine the necessary and sufficient conditions. According to the principle of sufficient and necessary conditions, the original proposition "p then q" is known, and the converse proposition "not q, then not p" is true. Therefore C.