Free LSAT Practice
LSAT Practice Test
LSAT Practice Test Videos
eBook: The Road to 180
Law School Top 100
LSAT Test Proctor
LSAT Logic Games
Apple App Store
Digital LSAT Simulator
Campus Rep Internship
Fee Waiver Scholarship
LSAT Test Dates
LSAT Message Board
September 2016 LSAT
Which one of the following is a permissible assignment of rangers to park areas?
on October 24 at 11:47PM
May we have a set up for this game please?
on October 25 at 04:38AM
The game requires us to assign each of the six rangers - J K L M O P - to 3 areas -1 2 3. This tells us that every ranger must be assigned to one of the areas, we cannot leave anyone out. Each area must have at least 1 and at most 3 rangers. This tells us that there are two possible combinations of the number of rangers per area:
The following rules apply:
(1) M is assigned to 3.
(2) Neither O nor P are assigned to area 1.
Combined with rule (1), we can infer that J/K/L are the only possible assignments for area 1.
(3) L is assigned to the same area as K or M but not both.
This rule tells us that we must have either LK or LM combination but not LKM in the same area, meaning K cannot be assigned to area 3.
Note that if L is assigned to area 1 or 2, it must be paired with K, and if it is assigned to area 3, it must be paired with M
We can also infer that if L is assigned to area 2, it must be paired with K and the only ranger that is assigned to area 1 in this scenario is J:
(4) if O is assigned to 2, then JK are assigned to the same area, otherwise they are assigned to different areas.
O-2 <-> JK
Combined with the previous rule, we can infer that if L is assigned to area 2, O must be assigned to area 3, and P could be assigned to either 2 or 3:
2: LK /P
3: MO /P
Now let's consider the impact of O assignment to area 2 or 3:
If O is assigned to area 2, L must be assigned to either area 1 or 3:
1: J K L
2: O /P
3: M /P
1: J K
2: O /P
3: M L /P
If O is assigned to area 3, L could be assigned to area 3 along with M and O, area 2 with K or area 1 with K.
P is the only free variable in these scenarios and could be assigned to either area 2 or 3 interchangeably.
Taken together, we have the following rules:
3: M ~K
LK v LM
O-2-> JK -1
O-3 -> ~JK
2: LK /P
3: MO /P
The question asks which of the following could be a permissible assignment.
(A) Incorrect. L must be paired with M or K.
(B) Incorrect. If O is in area 2, KJ must both be in area 1.
(C) Incorrect. P cannot be assigned to area 1
(D) Incorrect. M must be assigned to area 3
(E) Correct. This assignment complies with all the rules.
Let me know if this makes sense and if you have any further questions.
Posting to the forum is only allowed for members with active accounts.