Question

Difficulty: MediumMust Be True / Most Strongly Supported

Municipal urban forestry regulations require that any city park plot designated as an ecological reserve must undergo annual soil remediation. No park plot that undergoes annual soil remediation is treated with synthetic nitrogen fertilizers. In the district of Elmhurst, every municipal park plot that features an artificial wetland is designated as an ecological reserve. Currently, several park plots in Elmhurst are treated with synthetic nitrogen fertilizers.

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

  1. A
    Every park plot in Elmhurst that does not undergo annual soil remediation is currently treated with synthetic nitrogen fertilizers.
  2. B
    All municipal park plots in Elmhurst that undergo annual soil remediation feature artificial wetlands.
  3. No municipal park plot in Elmhurst that features an artificial wetland is treated with synthetic nitrogen fertilizers.Answer
  4. D
    Any municipal park plot that undergoes annual soil remediation is designated as an ecological reserve.
  5. E
    Synthetic nitrogen fertilizers cause greater ecological disruption to park plots than the absence of annual soil remediation does.

Answer

No municipal park plot in Elmhurst that features an artificial wetland is treated with synthetic nitrogen fertilizers.
The correct answer follows directly from linking the conditional premises: in Elmhurst, an artificial wetland guarantees that the plot is an ecological reserve (Wetland → Reserve); an ecological reserve guarantees annual soil remediation (Reserve → Remediation); and annual soil remediation guarantees that no synthetic nitrogen fertilizers are applied (Remediation → No Fertilizers). Combining these yields Wetland → No Fertilizers, proving that no municipal park plot with an artificial wetland can be treated with synthetic nitrogen fertilizers.

Step-by-Step Solution

1
Diagram the formal conditional rules provided in the stimulus.
Artificial Wetland → Ecological Reserve → Annual Soil Remediation → No Synthetic Nitrogen Fertilizers.
Establishing the valid conditional chain allows deduction of necessary relationships between the initial sufficient condition and subsequent necessary conditions.
2
Chain the conditional statements from the first condition to the final consequence.
If a park plot features an artificial wetland, it must not be treated with synthetic nitrogen fertilizers (Wetland → No Fertilizers).
Transitivity of conditional statements allows combining consecutive implications into a direct inference.
3
Match the derived conditional rule to the answer options.
The statement asserting that no Elmhurst park plot with an artificial wetland is treated with synthetic nitrogen fertilizers directly expresses this valid deduction.
A universally quantified negative statement is equivalent to the conditional rule that having the wetland precludes synthetic fertilizer treatment.

Key Concept

Conditional Logic Chaining and Deductive Inference
Estimated Time:1m 15s
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