On Wednesday, a legislator remembers that she must vote on seven bills-defense, environment, free trade, gun control, health care, immigration, and judicial activism-by the end of the week. Because the legislator wants to align herself with a major political party, she will vote on the seven bills in accordance with the following conditions:
She votes for the gun control bill only if she votes against the environment bill.
Unless she votes against the judicial activism bill, she will vote for the immigration bill.
She will vote for either the environment bill, the judicial activism bill, or both.
She votes for the gun control bill if she votes for both the health care bill and the defense bill.
1. Which one of the following could be a complete and accurate list of the bills the legislator votes against?
(A) free trade, gun control, immigration, judicial activism
(B) defense, free trade, gun control, health care, immigration
(C) free trade, health care, immigration, judicial activism
(D) environment, gun control, health care, judicial activism
(E) defense, environment, gun control, health care
2. If the legislator votes against the judicial activism bill, then which one of the following CANNOT be true?
(A) She votes against both the defense bill and the gun control bill.
(B) She votes against both the gun control bill and the health care bill.
(C) She votes for both the health care bill and the defense bill.
(D) She votes for both the health care bill and the environment bill.
(E) She votes for both the environment bill and the free trade bill.
3. Which one of the following CANNOT be true?
(A) The legislator votes for neither the gun control bill nor the immigration bill.
(B) The legislator votes for neither the environment bill nor the immigration bill.
(C) The legislator votes for neither the gun control bill nor the health care bill.
(D) The legislator votes for neither the health care bill nor the free trade bill.
(E) The legislator votes for neither the free trade bill nor the immigration bill.
4. If the legislator votes against the immigration bill, then which one of the following is the minimum number of the seven bills she must also vote against?
(A) one
(B) two
(C) three
(D) four
(E) five
