- PowerScore Staff
- Posts: 8224
- Joined: Feb 02, 2011
This is a Grouping/Linear Combination, Numerical Distribution, Identify the Templates game.
This is the most difficult game on this test. While the five numbered habitats are fairly innocuous, the game quickly ramps up the difficulty by overloading the habitats with seven reptiles divided into two types, and then adding a male/female component to each reptile. Simply put, there is a lot of information to track in this game.
The initial scenario for the game appears as follows:
Normally, when variables such as the lizards and snakes have an additional characteristic—in this case, the male/female designation—this would be shown with an extra stack for the additional characteristic. This game presents problems, however, because of the Overloaded aspect: there are seven reptiles for the five habitats, meaning some habitats will house more than one reptile, and it is also possible that a habitat may house no reptiles. Thus, instead of separating the reptiles and their corresponding sexes into different stacks, we will combine them. For example, a male lizard will be designated as ML, and a female snake will be designated as FS.
In further examining the relationship between the snakes and lizards, and the males and females, the Overlap Principle comes into play:
- Because there are only two males, the maximum number of male snakes (MS) is two. Yet, there are four snakes total, so, at a minimum, there must be at least two female snakes (FS).
The same reasoning can be applied to the relationship of the males and the lizards. Because there are only two males, the maximum number of male lizards (ML) is two. Yet, there are three lizards total, so, at a minimum, there must be at least one female lizard (FL).
- Possibility #1: FS, FS, FL FS, FS, ML, ML
Possibility #2: FS, FS, FL FL, FL, MS, MS
Possibility #3: FS, FS, FL FS, FL, MS, ML
- Distribution #1: 2-2-1-1-1
Distribution #2: 2-2-2-1-0
The second rule establishes that snakes and lizards cannot be housed in the same habitat:
This rule can be combined with the distributions to determine how the reptiles are distributed in the habitats (this does not account for the sex of the reptiles):
- 2-2-1-1-1 Distribution, Possibility #1:
Under this scenario, the two habitats housing two reptiles contain two snakes each:
2 2 1 1 1
S S L L L
2-2-1-1-1 Distribution, Possibility #2:
Under this scenario, the two habitats housing two reptiles contain two snakes and two lizards:
2 2 1 1 1
S L S S L
There is only one distribution of reptiles under this scenario:
2 2 1 1 0
S S L L
S S L
The third and final rule establishes that a female snake cannot be housed next to a male lizard:
Combined, the information results in the following diagram:
Male/Female Reptile Possibility #1: FS, FS, FL FS, FS, ML, ML
Male/Female Reptile Possibility #2: FS, FS, FL FL, FL, MS, MS
Male/Female Reptile Possibility #3: FS, FS, FL FS, FL, MS, ML
Even with all of the information above (and perhaps because of it), this remains a very difficult game.