Tomorrow is Cinco de Mayo. Contrary to what many perceive, the holiday is not Mexico’s independence day: it celebrates the defeat of the French at the battle of Puebla on May 5, 1862. Cinco de Mayo is celebrated more widely in the United States than in Mexico, where it’s mainly celebrated near Puebla. Don’t let that stop you from partying, but consider augmenting your festivities with some Mole Poblano. In honor of Cinco de Mayo, here’s an LSAT logic game.

I’d recommend that you refrain from trying it the morning of May 6.

A travel club is planning a trip to Mexico. The club will visit at least three of the following seven states: Guerrero, Hidalgo, Jalisco, Michoacán, Nayarit, Oaxaca, and Puebla. Cost and scheduling requirements dictate the following conditions:

The club will visit neither Michoacán nor Nayarit if it visits Guerrero.
The club will visit neither Hidalgo nor Nayarit if it visits Jalisco.
The club will visit Puebla only if it visits Oaxaca.

1. Which of the following could be a complete and accurate list of the states the club visits?
(A) Guerrero, Jalisco, Oaxaca
(B) Hidalgo, Michoacán, Nayarit, Puebla
(C) Guerrero, Hidalgo, Michoacán, Nayarit
(D) Jalisco, Nayarit, Oaxaca, Puebla
(E) Guerrero, Jalisco

2. What is the maximum number of states the club could visit?
(A) three
(B) four
(C) five
(D) six
(E) seven

3. If the club does not visit Oaxaca, which of the following must be true?
(A) The club visits Puebla.
(B) The club visits Hidalgo.
(C) The club visits Guerrero
(D) The club visits Guerrero if it does not visit Jalisco.
(E) The club visits Guerrero if it visits Nayarit.

4. If the club does not visit Puebla, which of the following must be true?
(A) The club must visit Oaxaca or else Nayarit.
(B) The club must visit Michoacán or else Nayarit.
(C) The club must visit Guerrero or else Jalisco.
(D) The club must visit Guerrero or else Michoacán.
(E) The club must visit Jalisco or else Nayarit.

5. If the club visits both Guerrero and Jalisco, each of the following must be false EXCEPT:
(A) The club visits Hidalgo.
(B) The club visits Nayarit.
(C) The club visits Michoacan.
(D) The club does not visit Oaxaca.
(E) The club does not visit Puebla.

(Answers: 1, A; 2, C; 3, B; 4, A; 5, E)