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Zorluk: OrtaOrder and Ranking

Five startup companies—Solaris, Terra, Umbra, Vesta, and Wyvern—are being ranked by their market valuation from highest to lowest. Based on the following information, arrange the companies in the correct order from highest valuation (top) to lowest valuation (bottom):

1. Umbra is valued higher than both Vesta and Wyvern.
2. Terra is valued lower than Solaris but higher than Umbra.
3. Wyvern is not the lowest valued company.

  1. 1Solaris
  2. 2Terra
  3. 3Umbra
  4. 4Wyvern
  5. 5Vesta

Cevap

The correct order from highest to lowest valuation is: Solaris, Terra, Umbra, Wyvern, and Vesta.
Based on the provided clues, Solaris has the highest valuation, followed directly by Terra, and then Umbra. Since Umbra is valued higher than both Vesta and Wyvern, those two must occupy the fourth and fifth spots. Because Wyvern cannot be the lowest valued company, it must take the fourth position, leaving Vesta as the fifth and lowest valued company.

Adım Adım Çözüm

1
Analyze the relationship between Terra, Solaris, and Umbra.
Solaris > Terra > Umbra
The second clue explicitly states that Terra is valued lower than Solaris but higher than Umbra.
2
Analyze the relationship between Umbra, Vesta, and Wyvern.
Umbra > Vesta and Umbra > Wyvern
The first clue states that Umbra is valued higher than both Vesta and Wyvern.
3
Combine the findings from Step 1 and Step 2 to form a partial sequence.
Solaris > Terra > Umbra > (Vesta and Wyvern)
Applying the transitive property, Solaris and Terra occupy the first and second positions, Umbra is third, leaving Vesta and Wyvern for the bottom two spots.
4
Determine the exact final positions of Vesta and Wyvern.
Wyvern > Vesta
The third clue states that Wyvern is not the lowest valued company. Therefore, between the remaining two spots, Wyvern must be fourth and Vesta must be fifth.

Anahtar Kavram

Relative position ordering using transitive logic and negative constraints.
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Konular

Order and Ranking

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