- PowerScore Staff
- Posts: 5973
- Joined: Mar 25, 2011
- Fri Jun 22, 2018 8:20 am
#88159
Setup and Rule Diagram Explanation
This is a Grouping: Undefined game.
The game scenario establishes that there are six dancers, but an exact number of dancers on the stage is not given, making this an Undefined game. The dancers fall into two groups—“on stage” and “off stage”—and the choice is yours to show both groups, or just to show the “on stage” group in your main diagram. As stated elsewhere, we typically show just the “in” group of variables, which in this case would be the “on stage” group.
Thus, prior to examining the rules, we have the following basic setup:
Rules #1 and #2. These rules are best examined together because they both address the relationship of J and L.
The first rule establishes that when J is on stage, then L is off stage:
As this rule means that when one of J or L is on stage, the other must be off stage, this rule is better diagrammed as:
Essentially, then, J and L can never both be on stage at the same time.
The second rule indicates that when L is off stage, then J must be on stage:
As discussed elsewhere, this is one of the trickiest rules to encounter in Logic Games. When L is not on stage, J must be on stage. Via the contrapositive, when J is not on stage, then L must be on stage. Thus, whenever J or L is off stage, the other must be on stage. This means the two can never both be off stage at the same time, which can be represented as:
The first rule indicates that both J and L cannot be on stage at the same time, and the second rule indicates that J and L cannot both be off stage at the same time. Thus, when the two rules are combined, we can infer that one of J and L is always on stage, and the other is always off stage. With this information, we can modify our main diagram to appear as:
Rule #3. The third rule can initially be diagrammed as:
However, the contrapositive of this rule is more helpful:
Thus, when J is on stage, then F must also be on stage. Of course, if F is not on stage, J is not on stage, and from the first two rules we can infer that L would then have to be on stage:
Rule #4. This rule establishes that if any of the women are on stage, then G is also on stage:
By itself, this rule would force you to track when a woman is on stage. However, from the first two rules we have already established that either J or L is always on stage. Because both J and L are women, we can thus infer that G must always be on the stage.
The information above leads to the final diagram for this game:
This is a Grouping: Undefined game.
The game scenario establishes that there are six dancers, but an exact number of dancers on the stage is not given, making this an Undefined game. The dancers fall into two groups—“on stage” and “off stage”—and the choice is yours to show both groups, or just to show the “on stage” group in your main diagram. As stated elsewhere, we typically show just the “in” group of variables, which in this case would be the “on stage” group.
Thus, prior to examining the rules, we have the following basic setup:
Rules #1 and #2. These rules are best examined together because they both address the relationship of J and L.
The first rule establishes that when J is on stage, then L is off stage:
As this rule means that when one of J or L is on stage, the other must be off stage, this rule is better diagrammed as:
Essentially, then, J and L can never both be on stage at the same time.
The second rule indicates that when L is off stage, then J must be on stage:
As discussed elsewhere, this is one of the trickiest rules to encounter in Logic Games. When L is not on stage, J must be on stage. Via the contrapositive, when J is not on stage, then L must be on stage. Thus, whenever J or L is off stage, the other must be on stage. This means the two can never both be off stage at the same time, which can be represented as:
The first rule indicates that both J and L cannot be on stage at the same time, and the second rule indicates that J and L cannot both be off stage at the same time. Thus, when the two rules are combined, we can infer that one of J and L is always on stage, and the other is always off stage. With this information, we can modify our main diagram to appear as:
Rule #3. The third rule can initially be diagrammed as:
However, the contrapositive of this rule is more helpful:
Thus, when J is on stage, then F must also be on stage. Of course, if F is not on stage, J is not on stage, and from the first two rules we can infer that L would then have to be on stage:
Rule #4. This rule establishes that if any of the women are on stage, then G is also on stage:
By itself, this rule would force you to track when a woman is on stage. However, from the first two rules we have already established that either J or L is always on stage. Because both J and L are women, we can thus infer that G must always be on the stage.
The information above leads to the final diagram for this game:
You do not have the required permissions to view the files attached to this post.
Dave Killoran
PowerScore Test Preparation
Follow me on X/Twitter at http://twitter.com/DaveKilloran
My LSAT Articles: http://blog.powerscore.com/lsat/author/dave-killoran
PowerScore Podcast: http://www.powerscore.com/lsat/podcast/
PowerScore Test Preparation
Follow me on X/Twitter at http://twitter.com/DaveKilloran
My LSAT Articles: http://blog.powerscore.com/lsat/author/dave-killoran
PowerScore Podcast: http://www.powerscore.com/lsat/podcast/
L
