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Zorluk: Çok zorMust Be True / Most Strongly Supported

According to a municipality's urban planning code, a district can be designated as a 'Tier-1 Hub' only if it possesses both a multi-modal transit center and a residential density exceeding 8080 dwellings per acre. Any district with a residential density exceeding 8080 dwellings per acre will inevitably experience severe infrastructure strain unless it implements a decentralized waste management system. However, districts that rely primarily on historical tourism revenue are legally prohibited from implementing decentralized waste management systems. Currently, every Tier-1 Hub located in the coastal region relies primarily on historical tourism revenue.

Which one of the following conclusions can be most logically drawn from the information provided above?

  1. A
    No district in the coastal region is legally permitted to implement a decentralized waste management system.
  2. B
    If a district located in the coastal region possesses a multi-modal transit center, it will inevitably experience severe infrastructure strain.
  3. Any district in the coastal region that does not experience severe infrastructure strain is not designated as a Tier-1 Hub.Cevap
  4. D
    Districts that legally implement a decentralized waste management system never experience severe infrastructure strain.
  5. E
    Any district that possesses both a multi-modal transit center and a residential density exceeding 8080 dwellings per acre is designated as a Tier-1 Hub.

Cevap

Any district in the coastal region that does not experience severe infrastructure strain is not designated as a Tier-1 Hub.
The stimulus establishes a clear chain of conditional logic. First, all Tier-1 Hubs have a residential density exceeding 80 dwellings per acre. Second, any district with this density must either implement a decentralized waste management system or inevitably experience severe infrastructure strain. Third, coastal Tier-1 Hubs rely on historical tourism, which legally prohibits them from implementing the decentralized waste management system. Therefore, any coastal Tier-1 Hub has a density over 80 but cannot implement the required waste system, guaranteeing it will experience severe infrastructure strain. The correct answer simply states the contrapositive of this final deduction: if a coastal district does not experience severe infrastructure strain, it cannot possibly be a Tier-1 Hub.

Adım Adım Çözüm

1
Translate the first premise into conditional logic.
Tier-1 Hub → Multi-modal transit AND Density > 80.
The phrase 'only if' introduces necessary conditions for the Tier-1 designation.
2
Translate the second premise into conditional logic.
Density > 80 AND NO Decentralized waste → Severe strain.
The word 'unless' introduces a necessary alternative. If the alternative (waste system) fails, the negative outcome (severe strain) is guaranteed.
3
Translate the third and fourth premises regarding coastal hubs.
Coastal Tier-1 Hub → Historical tourism. Historical tourism → NO Decentralized waste.
This maps the specific constraints placed on Tier-1 Hubs situated in the coastal region.
4
Chain the conditional statements together.
Coastal Tier-1 Hub → Density > 80 AND NO Decentralized waste → Severe strain.
Combining the rules reveals the inevitable outcome: every coastal Tier-1 Hub will experience severe infrastructure strain.
5
Formulate the contrapositive of the final deduction.
NO Severe strain → NOT a Coastal Tier-1 Hub (meaning a coastal district without severe strain cannot be a Tier-1 Hub).
The correct answer on difficult deductive reasoning questions frequently presents the contrapositive of the main logical chain.

Anahtar Kavram

Complex Conditional Chaining and Contrapositives
Tahmini Süre:2m 30s
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Must Be True / Most Strongly Supported

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