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Difficulty: Very hardMust Be True Questions

Every regulatory framework adopted by the Central Trade Guild requires member states to submit quarterly audit reports. Any regulatory framework that requires quarterly audit reports also strictly restricts speculative commodity trading. Most regulatory frameworks that restrict speculative commodity trading face opposition from the agricultural coalition. However, none of the regulatory frameworks drafted by the Eastern Bloc restrict speculative commodity trading. Yet, some of the frameworks facing opposition from the agricultural coalition were drafted by the Eastern Bloc.

Based on the information above, which of the following statements must be true? (Select all that apply)

  1. A
    Most regulatory frameworks adopted by the Central Trade Guild face opposition from the agricultural coalition.
  2. At least one regulatory framework facing opposition from the agricultural coalition does not restrict speculative commodity trading.Answer
  3. C
    A regulatory framework that is not adopted by the Central Trade Guild will not require member states to submit quarterly audit reports.
  4. D
    Any regulatory framework that restricts speculative commodity trading requires member states to submit quarterly audit reports.
  5. None of the regulatory frameworks adopted by the Central Trade Guild were drafted by the Eastern Bloc.Answer

Answer

The correct statements are that at least one regulatory framework facing opposition from the agricultural coalition does not restrict speculative commodity trading, and that none of the regulatory frameworks adopted by the Central Trade Guild were drafted by the Eastern Bloc.
The correct options represent the two definitively provable mathematical realities from the stimulus. First, because every Central Trade Guild framework restricts trading, and no Eastern Bloc framework restricts trading, these two categories are mutually exclusive. Second, because some frameworks facing opposition are Eastern Bloc, and all Eastern Bloc frameworks fail to restrict trading, there must exist at least one opposed framework that fails to restrict trading.

Step-by-Step Solution

1
Diagram the conditional statements provided in the first half of the stimulus.
CTG → QAR, and QAR → RST. Through the transitive property, we can deduce CTG → RST.
Identifying absolute rules allows us to establish the necessary conditions for any framework adopted by the Central Trade Guild.
2
Diagram the remaining conditional and quantified statements.
RST -most→ OAC. EB → ~RST. OAC -some→ EB.
Mapping all relationships is required to find points of intersection and valid deductions.
3
Combine the absolute conditional chains to test relationships between distant variables.
Since CTG → RST, and EB → ~RST (which contraposes to RST → ~EB), we can deduce that CTG → ~EB. Therefore, no CTG frameworks are EB frameworks.
Linking conditional statements via their shared terms and contrapositives reveals absolute truths not explicitly stated.
4
Evaluate the quantifier relationships to find existential truths.
We know OAC -some→ EB. We also know EB → ~RST. Therefore, there must be at least one framework that is both OAC and ~RST (OAC -some→ ~RST).
When a 'some' statement intersects with an 'all' or 'none' statement, a new 'some' deduction can be definitively mathematically proven.
5
Compare the derived deductions against the given options.
The deduction 'CTG → ~EB' matches one of the correct options, and 'OAC -some→ ~RST' matches the other.
Must Be True questions require selecting answers that are 100% logically proven by the premises.

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