This week, Major League Baseball suspended 13 players for doping, including superstar Alex Rodriguez. In honor of this latest PED scandal, we’ve put together an LSAT Logic Game that A-Rod would probably fail. If you can nail this one, you might be able to find employment in pro baseball as a personal logician (you’d be working closely with the personal chemists).

Batter up:

A professional baseball player is going to take exactly seven different drugs at some time during seven consecutive days. Drugs A and B are testosterone boosters, drugs C, D, and E are synthetic growth hormones, and drugs F, and G are masking agents. According to his personal chemist, the player must take the drugs consistent with the following rules:

A masking agent must be taken on any day that a testosterone booster is taken.

Drug D must be taken exactly two days after drug C.

1. Which one of the following is a complete and accurate list of the days on which the player cannot take drug E?
(A) 1, 2, 4
(B) 2, 3, 4
(C) 3, 4
(D) 4, 5
(E) 4, 5, 6

2. The player must take a masking agent before which one of the following days?
(A) 1
(B) 2
(C) 3
(D) 4
(E) 5

3. Each one of the following could be true EXCEPT
(A) The player takes drug G before he takes drug E
(B) The player takes drug C exactly one day before he takes drug B.
(C) The player takes drugs A and B on consecutive days.
(D) The player takes drug A after he takes drug D.
(E) The player takes three drugs on the same day.

4. If the player takes drug D on day 5, how many days are there on which the player can take drug A?
(A) 2
(B) 3
(C) 4
(D) 5
(E) 6

5. What is the maximum number of drugs the player can take before day 4?
(A) 2
(B) 3
(C) 4
(D) 5
(E) 6

6. If the player takes drug E on day 2, then how many days are there on which the player can take drug A?
(A) 3
(B) 4
(C) 5
(D) 6
(E) 7

7. Which one of the following, if substituted for the rule that drug F must be taken before drug C, would have the same effect in determining the days on which the player can take each drug?
(A) Drug G must be taken at some time after drug D
(B) Drug F must be taken at some time before drug D
(C) Drugs E and A cannot be taken on consecutive days
(D) Drug A must be taken at least three days before drug D
(E) Drug C must be taken after drug G

Answers:
1) D; 2) E; 3) D; 4) A; 5) E; 6) B; 7) D