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Zorluk: OrtaMust Be True Questions

According to city records, every commercial project approved by the Planning Board this year required an environmental impact study. Furthermore, any project that requires an environmental impact study is subject to a 60-day public review period. Records also indicate that most of the commercial projects approved by the Planning Board this year received a municipal development grant. However, under city charter, no project that receives a municipal development grant is exempt from the city's prevailing wage ordinance.

Based on the information provided, which of the following statements must be true? Select all that apply.

  1. Every commercial project approved by the Planning Board this year is subject to a 60-day public review period.Cevap
  2. At least some projects subject to a 60-day public review period are not exempt from the city's prevailing wage ordinance.Cevap
  3. C
    Most projects that required an environmental impact study received a municipal development grant.
  4. D
    No project that is exempt from the city's prevailing wage ordinance required an environmental impact study.
  5. E
    Any project that is subject to a 60-day public review period and received a municipal development grant is a commercial project approved by the Planning Board this year.

Cevap

The correct answers are the statement that every commercial project approved this year is subject to the review period, and the statement that at least some projects subject to the review period are not exempt from the wage ordinance.
Both correct statements can be logically deduced with complete certainty. The first follows directly from chaining two absolute rules: if a project is an approved commercial project, it needs an environmental study, and if it needs an environmental study, it requires a public review period. The second follows by combining quantifiers: since all approved commercial projects undergo public review, and most of them receive a grant (which means they cannot be exempt from the wage ordinance), it must be true that at least some projects undergoing public review are not exempt from the wage ordinance.

Adım Adım Çözüm

1
Diagram the absolute conditional statements to form a logical chain.
Commercial Project (CP) → Environmental Impact Study (EIS) → Public Review Period (PRP).
To establish the guaranteed baseline properties of all commercial projects approved this year.
2
Diagram the quantifier statements and negative conditional rules.
CP -[most]→ Municipal Grant (MG), and MG → Not Exempt (~Exempt).
To identify what is true for the majority of these commercial projects.
3
Synthesize the chains to find derivative inferences.
Since all CP are PRP, and most CP are MG (which means most CP are ~Exempt), there is an overlap: some things that are PRP must also be ~Exempt.
To systematically pre-phrase the necessary truths before evaluating the choices.

Anahtar Kavram

Drawing formal logic deductions by combining transitive conditional chains with proportion quantifiers (some/most).
Tahmini Süre:1m 45s
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Must Be True Questions

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