- PowerScore Staff
- Posts: 8917
- Joined: Feb 02, 2011
- Mon Sep 04, 2017 10:08 pm
#39216
Complete Question Explanation
(The complete setup for this game can be found here: lsat/viewtopic.php?t=12911)
The correct answer choice is (E)
If one of the rugs contains only P, we need to conform to the 3-1-1 distribution (the 2-2-1 distribution requires P to be used in a multicolored rug along with O).
Given the conditional relationship between O and P established by the second rule, we can safely assume that O is not used in any of the rugs (if O were used, then P would need to be used in the same rug as O). Thus:
Now that we know which thread color is not used, we need to determine how the remaining four colors—F, T, W, and Y—are distributed among the two remaining rugs. From the first rule, we know that W must be in a group with two other colors, so W will end up in the multicolored rug. We also need to split F and T between two separate rugs in compliance with the third rule. While we cannot determine the particular rugs in which F and T will be used (solid or multicolored), we can Hurdle this Uncertainty by using Dual Options as shown below. The remaining thread color—Y—must be used in the multicolored rug:
The resulting setup validates answer choice (E) as the correct answer choice to this Must Be True question.
Answer choice (A) is not necessarily true, because F could be used in the multicolored rug.
Answer choice (B) is not necessarily true, because T could be used in the multicolored rug.
Answer choice (C) must be false, because Y must be used in the multicolored rug.
Answer choice (D) is incorrect, because F and W need not be used together in any of the rugs.
Answer choice (E) is the correct answer choice.
(The complete setup for this game can be found here: lsat/viewtopic.php?t=12911)
The correct answer choice is (E)
If one of the rugs contains only P, we need to conform to the 3-1-1 distribution (the 2-2-1 distribution requires P to be used in a multicolored rug along with O).
Given the conditional relationship between O and P established by the second rule, we can safely assume that O is not used in any of the rugs (if O were used, then P would need to be used in the same rug as O). Thus:
Now that we know which thread color is not used, we need to determine how the remaining four colors—F, T, W, and Y—are distributed among the two remaining rugs. From the first rule, we know that W must be in a group with two other colors, so W will end up in the multicolored rug. We also need to split F and T between two separate rugs in compliance with the third rule. While we cannot determine the particular rugs in which F and T will be used (solid or multicolored), we can Hurdle this Uncertainty by using Dual Options as shown below. The remaining thread color—Y—must be used in the multicolored rug:
The resulting setup validates answer choice (E) as the correct answer choice to this Must Be True question.
Answer choice (A) is not necessarily true, because F could be used in the multicolored rug.
Answer choice (B) is not necessarily true, because T could be used in the multicolored rug.
Answer choice (C) must be false, because Y must be used in the multicolored rug.
Answer choice (D) is incorrect, because F and W need not be used together in any of the rugs.
Answer choice (E) is the correct answer choice.
You do not have the required permissions to view the files attached to this post.