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Difficulty: Very hardCannot Be True Questions

In order to qualify for the accelerated development grant, a local infrastructure project must be classified as high-priority by the regional council and must secure matching private investments. Any infrastructure project that secures matching private investments is subject to the strict environmental oversight of the federal preservation board. However, no project proposed by the municipal transit authority is subject to this strict environmental oversight. Nevertheless, some projects proposed by the municipal transit authority are classified as high-priority by the regional council.

If the statements above are true, which one of the following cannot be true?

  1. A project proposed by the municipal transit authority qualifies for the accelerated development grant.Answer
  2. B
    Some local infrastructure projects that are subject to the strict environmental oversight of the federal preservation board secure matching private investments.
  3. C
    Any local infrastructure project that is not proposed by the municipal transit authority is subject to the strict environmental oversight of the federal preservation board.
  4. D
    Most local infrastructure projects that are classified as high-priority by the regional council are proposed by the municipal transit authority.
  5. E
    No local infrastructure project proposed by the municipal transit authority secures matching private investments.

Answer

The option stating that a project proposed by the municipal transit authority qualifies for the accelerated development grant cannot be true.
The stimulus establishes a conditional chain that rules out municipal transit authority projects from qualifying for the grant. To qualify for the accelerated development grant, a project must secure matching private investments. Any project with matching private investments is subject to strict environmental oversight. Therefore, qualifying for the grant strictly requires being subject to environmental oversight. However, the stimulus explicitly states that no project proposed by the municipal transit authority is subject to this oversight. Consequently, no municipal transit authority project can ever secure matching private investments, making it impossible for any such project to satisfy the necessary conditions for the grant.

Step-by-Step Solution

1
Map the conditions required to qualify for the grant.
Grant -> High-Priority AND Matching Investments.
Translating the text into formal logic simplifies the complex conditional rules.
2
Map the consequences of securing matching investments.
Matching Investments -> Strict Oversight.
Connecting terms allows us to build a deductive chain.
3
Map the rules regarding the municipal transit authority.
Transit Authority -> NOT Strict Oversight. (Additionally, Transit Authority -some- High-Priority).
Identifying absolute constraints on specific entities reveals logical impossibilities.
4
Combine the rules to test if a transit authority project can logically qualify for the grant.
Transit Authority -> NOT Strict Oversight -> NOT Matching Investments -> NOT Grant.
Since transit projects cannot secure matching investments, they fail a necessary condition for the grant, making their qualification logically impossible.

Key Concept

Chaining conditional statements to identify a logically impossible outcome.
Estimated Time:2m 0s
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