Question 60 Answer and Explanation _ACT June 2011 Asia Form 67B Math Section

60. Cassandra has a collection of animal figurines of various solid colors. She makes the following true statement about the collection: "If a figurine is blue, then the figurine is a cat." Which of the following statements about the collection is logically equivalent to Cassandra's statement?

F. “A figurine is a cat if and only if it is blue."

G. "If a figurine is a cat, then the figurine is blue."

H. “If a figurine is a cat, then the figurine is NOT blue."

J. “If a figurine is NOT blue, then the figurine is NOT a cat."

K. “If a figurine is NOT a cat, then the figurine is NOT blue."

Answer and Explanation

Your Answer is

Correct Answer is K

Explanation

Find the inverse proposition of the logical proposition in the title, that is, if not cat, then not blue. Choose K.