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Soru

Zorluk: OrtaMust Be True / Most Strongly Supported

Urban climatologists studying heat mitigation in mid-latitude coastal cities documented several architectural design characteristics: Every commercial structure that incorporates an open-air central atrium utilizes cross-ventilation corridors. No building that utilizes cross-ventilation corridors requires continuous mechanical refrigeration during daytime hours. Furthermore, some commercial structures that maintain intensive green roofs also incorporate open-air central atriums.

If the statements above are true, which one of the following must also be true?

  1. A
    Any commercial structure that utilizes cross-ventilation corridors incorporates an open-air central atrium.
  2. B
    Every commercial structure that maintains an intensive green roof utilizes cross-ventilation corridors.
  3. At least some commercial structures that maintain intensive green roofs do not require continuous mechanical refrigeration during daytime hours.Cevap
  4. D
    Any commercial structure that does not incorporate an open-air central atrium requires continuous mechanical refrigeration during daytime hours.
  5. E
    Commercial structures that incorporate open-air central atriums are more cost-effective to operate than residential buildings with intensive green roofs.

Cevap

At least some commercial structures that maintain intensive green roofs do not require continuous mechanical refrigeration during daytime hours.
The correct answer properly synthesizes the existential quantifier with the conditional chain: since a subset of commercial structures with intensive green roofs has open-air central atriums, that subset necessarily has cross-ventilation corridors and consequently does not require continuous daytime mechanical refrigeration.

Adım Adım Çözüm

1
Symbolize the formal conditional premises and quantifier statement.
Atrium -> Corridors; Corridors -> No Daytime Refrigeration; Some Green Roofs have Atrium.
Clear formalization isolates the logical relationships connecting atriums, corridors, refrigeration, and green roofs.
2
Combine the universal conditional chain with the existential statement.
Atrium -> Corridors -> No Daytime Refrigeration yields Atrium -> No Daytime Refrigeration. Intersecting with (Some Green Roofs have Atrium) gives: Some Green Roofs -> No Daytime Refrigeration.
A member belonging to the intersection of green roofs and atriums must inherit all necessary conditions that flow from having an atrium.
3
Match the deduced claim to the corresponding statement.
The statement expressing that some commercial structures with intensive green roofs do not require continuous daytime mechanical refrigeration is strictly deduced.
This is a direct, unavoidable logical consequence of the premises.

Anahtar Kavram

Quantifier and Conditional Chain Intersection (Must Be True)
Tahmini Süre:1m 15s
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Konular

Must Be True / Most Strongly Supported

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