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07 Sep 2026, 10:09
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Atlas: Yes
Crest: Yes
Ember: No
Be sure to select an answer first to save it in the Error Log before revealing the correct answer (OA)!
Difficulty:
55%
(hard)
Question Stats:
68% (01:52) correct
32%
(02:24)
wrong
based on 66
sessions
History
Date
Time
Result
Not Attempted Yet
A design firm is comparing six proposals for a new community center: Atlas, Birch, Crest, Drift, Ember, and Forge. Each proposal is rated from A to G on seven criteria, ranging from Energy efficiency to Ease of maintenance, where A is the highest rating and G is the lowest rating. Thus, A is higher than B, B is higher than C, and so on.
A proposal X is said to outrank another proposal Y if X matches or exceeds Y’s rating on every criterion, but Y does not match all of X’s ratings.
For each of the following proposals, select Yes if the proposal outranks at least one other proposal in the table. Otherwise, select No.
A proposal X is said to outrank another proposal Y if X matches or exceeds Y’s rating on every criterion, but Y does not match all of X’s ratings.
| Criterion | Atlas | Birch | Crest | Drift | Ember | Forge |
|---|---|---|---|---|---|---|
| Energy efficiency | A | B | E | E | A | D |
| Natural lighting | B | B | A | B | E | C |
| Interior flexibility | C | C | B | B | A | D |
| Accessibility | B | C | B | B | E | A |
| Durability | A | B | C | C | B | D |
| Cost control | D | D | C | C | A | B |
| Ease of maintenance | C | D | B | B | F | A |
For each of the following proposals, select Yes if the proposal outranks at least one other proposal in the table. Otherwise, select No.
| Yes | No | |
| Atlas | ||
| Crest | ||
| Ember |
ShowHide Answer
Official Answer
Atlas: Yes
Crest: Yes
Ember: No
15 Sep 2026, 06:15
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Bunuel
Official Solution:
First, remember what we need to establish. A proposal outranks another proposal only if it is rated at least as highly on every criterion and higher on at least one.
A useful way to check this is to sort the column for the proposal being tested from its highest rating to its lowest. Then compare it with the other proposals. As soon as another proposal has a higher rating on even one criterion, that proposal cannot be outranked, so we can move on to the next comparison.
• Atlas
Sort the Atlas column from A to D and begin comparing Atlas with the other proposals.
Start with Birch. Atlas is rated at least as highly as Birch on every criterion. For example, Atlas has A versus B for Energy efficiency, B versus C for Accessibility, and A versus B for Durability, while the two proposals tie on several other criteria.
Thus, Atlas exceeds Birch on some criteria and is never lower on any criterion.
Therefore, Atlas outranks Birch. Since we only need to determine whether Atlas outranks at least one proposal, no further comparisons are necessary.
Answer: Yes.
• Crest
Sort the Crest column from A to E and compare Crest with the other proposals.
Crest does not outrank Atlas because Atlas has a higher rating for Energy efficiency, A compared with Crest's E.
Crest also does not outrank Birch because Birch again has a higher rating for Energy efficiency, B compared with Crest's E.
Next compare Crest with Drift. They have the same rating on every criterion except Natural lighting, where Crest has A and Drift has B.
Thus, Crest matches or exceeds Drift on every criterion and exceeds it on one.
Therefore, Crest outranks Drift.
Answer: Yes.
• Ember
Sort the Ember column from A to F. To check efficiently whether Ember outranks another proposal, look for just one criterion on which that proposal has a higher rating than Ember. Finding one is enough to eliminate that comparison.
Atlas has A for Durability, while Ember has B, so Ember does not outrank Atlas.
Birch has B for Natural lighting, while Ember has E, so Ember does not outrank Birch.
Crest has A for Natural lighting, while Ember has E, so Ember does not outrank Crest.
Drift has B for Natural lighting, while Ember has E, so Ember does not outrank Drift.
Forge has A for Accessibility, while Ember has E, so Ember does not outrank Forge.
Since every other proposal has at least one criterion on which it is rated higher than Ember, Ember does not outrank any proposal.
Answer: No.
Correct answer:
Proposal Atlas: "Yes"
Proposal Crest: "Yes"
Proposal Ember: "No"
General Discussion
08 Sep 2026, 01:21
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Atlas: Yes (outranks Birch)
Crest: Yes (outranks Drift)
Ember: No
Crest: Yes (outranks Drift)
Ember: No
