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Difficulty: HardStatement and Conclusions or Inferences

Review the following policy directive issued by the Municipal Governance Board:

'To mitigate urban heat island effects, any newly approved commercial complex possessing a total roof footprint greater than 5,000 square meters is required to integrate either a vegetative green roof or a photovoltaic solar array across at least 40% of its rooftop surface. However, commercial structures built prior to 2024 are strictly exempt from this requirement, provided they do not undergo subsequent structural modifications that expand their original roof footprint by 20% or more.'

Based strictly on the information provided above, which of the following conclusions can be logically deduced? (Select all that apply)

  1. A commercial complex built in 2021 that undergoes a structural modification expanding its roof footprint by 15% is not compelled by this directive to install a vegetative green roof or a photovoltaic solar array.Answer
  2. If a newly approved commercial complex is found to be compliant with the zoning directive despite having neither a vegetative green roof nor a photovoltaic solar array, its total roof footprint must be 5,000 square meters or less.Answer
  3. C
    The Municipal Governance Board provided the exemption for pre-2024 structures specifically to protect business owners from prohibitive retrofitting costs.
  4. D
    Any newly approved commercial complex that integrates a vegetative green roof covering 50% of its rooftop surface must have a roof footprint exceeding 5,000 square meters.

Answer

The valid inferences are that a 2021 building expanding by only 15% remains exempt, and that a compliant new building lacking both green and solar installations must have a footprint of 5,000 square meters or less.
The correct conclusions rely strictly on deductive logic applied to the provided policy text. The exemption explicitly applies to pre-2024 buildings expanding by less than 20%, meaning a 2021 building expanding by 15% retains its exempt status. Furthermore, the primary rule states that being new and over 5,000 square meters necessitates specific roofing; by the logical contrapositive, if a new building is compliant but lacks these roofs, it cannot possibly be over 5,000 square meters.

Step-by-Step Solution

1
Analyze the primary mandate established in the first sentence.
Rule: If a building is NEW and >5,000 sq meters, it MUST install a green roof or solar array (≥40%).
This establishes the core condition and scope of the municipal requirement.
2
Analyze the exemption boundaries detailed in the second sentence.
Rule: If a building is PRE-2024 and expands by <20%, it is EXEMPT from the mandate.
This defines the precise thresholds under which older buildings bypass the new regulations.
3
Evaluate the statement regarding the 2021 building expanding by 15%.
The building fits the pre-2024 criteria and stays under the 20% expansion limit, making the conclusion logically valid.
Directly applying the exemption rule to the specific data points provided in the conclusion.
4
Evaluate the statement regarding a compliant new building without specialized roofs.
By logical contrapositive, a compliant new building without the roofs must fall outside the targeted category (i.e., it must be ≤5,000 sq meters), making the conclusion logically valid.
Applying formal logic (If P then Q; Not Q implies Not P) guarantees this outcome.

Key Concept

Logical Deduction and Boundary Analysis in Policy Directives
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Topics

Statement and Conclusions or Inferences

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