Examkin

Soru

Zorluk: ZorMust Be True / Most Strongly Supported

Environmental policy analysts documented the following regulatory conditions governing regional water management: Every municipal district that experienced a severe groundwater deficit implemented mandatory aquifer replenishment protocols. No municipal district that implemented mandatory aquifer replenishment protocols permitted unmetered commercial extraction. Some municipal districts that implemented mandatory aquifer replenishment protocols also qualified for federal infrastructural subsidies. Furthermore, any municipal district that qualified for federal infrastructural subsidies was required to publish monthly hydrological audits, and no district required to publish monthly hydrological audits was exempt from state oversight penalties.

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

  1. A
    Every municipal district required to publish monthly hydrological audits experienced a severe groundwater deficit.
  2. B
    All municipal districts that implemented mandatory aquifer replenishment protocols qualified for federal infrastructural subsidies.
  3. At least some municipal districts that are subject to state oversight penalties do not permit unmetered commercial extraction.Cevap
  4. D
    Any municipal district that is not exempt from state oversight penalties must have implemented mandatory aquifer replenishment protocols.
  5. E
    No municipal district that experienced a severe groundwater deficit is subject to state oversight penalties.

Cevap

At least some municipal districts that are subject to state oversight penalties do not permit unmetered commercial extraction.
The stimulus establishes that some districts implemented mandatory aquifer replenishment protocols and qualified for federal infrastructural subsidies. Any district that qualified for subsidies had to publish monthly hydrological audits, which in turn means it was not exempt from state oversight penalties. Simultaneously, any district that implemented replenishment protocols did not permit unmetered commercial extraction. Therefore, the specific districts belonging to that intersecting group must be subject to state oversight penalties while not permitting unmetered commercial extraction.

Adım Adım Çözüm

1
Map the universal conditional statements and negative universal constraints into formal chains.
Severe Deficit implies Replenishment Protocols. Replenishment Protocols implies No Unmetered Extraction. Subsidies implies Monthly Audits. Monthly Audits implies Subject to State Oversight Penalties (not exempt).
Establishing individual conditional relationships allows valid contrapositive and sequential deductions.
2
Identify the existential quantifier premise linking the two conditional branches.
There exists a non-empty set of municipal districts that both implemented Replenishment Protocols and qualified for Subsidies.
Quantifier premises ('some') serve as the bridge between otherwise independent conditional chains.
3
Synthesize the properties of the entities residing within the intersection.
Any district in this intersection does not permit unmetered extraction (via the Replenishment Protocol branch) and is subject to state oversight penalties (via the Subsidies to Audits to Penalties chain).
This deductively proves that at least some districts subject to oversight penalties do not permit unmetered commercial extraction.

Anahtar Kavram

Quantifier Intersection and Conditional Chaining
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Konular

Must Be True / Most Strongly Supported

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