Question

Difficulty: Very hardChaining Conditional Statements

According to the newly ratified International Trade Arbitration framework, a penalized nation will have its economic sanctions lifted only if it submits to a binding independent audit. However, a penalized nation cannot submit to a binding independent audit unless it formally waives its right to appeal the tribunal's preliminary ruling. Furthermore, any nation that formally waives its right to appeal the tribunal's preliminary ruling will automatically be stripped of its emergency tariff protections. It is a strict rule of the framework that a penalized nation retains its emergency tariff protections if it maintains its original trade embargo.

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

  1. Any penalized nation that maintains its original trade embargo will not have its economic sanctions lifted.Answer
  2. B
    A penalized nation will be stripped of its emergency tariff protections only if its economic sanctions are lifted.
  3. C
    If a penalized nation does not maintain its original trade embargo, its economic sanctions will be lifted.
  4. D
    A penalized nation will retain its emergency tariff protections if it does not submit to a binding independent audit.
  5. E
    At least some penalized nations that formally waive their right to appeal the preliminary ruling will have their economic sanctions lifted.

Answer

Any penalized nation that maintains its original trade embargo will not have its economic sanctions lifted.
The correct answer accurately reflects the contrapositive chain of the stimulus. By linking the premises, we establish that if sanctions are lifted (SL), the nation must not maintain its embargo (~ME), represented as SL -> ~ME. The contrapositive of this relationship is ME -> ~SL, meaning if a nation maintains its embargo, its sanctions cannot be lifted.

Step-by-Step Solution

1
Diagram the first sentence.
Sanctions Lifted (SL) -> Independent Audit (IA)
The phrase 'only if' introduces a necessary condition.
2
Diagram the second sentence.
Independent Audit (IA) -> Waives Appeal (WA)
The phrase 'cannot... unless' translates to '~WA -> ~IA', which contraposes to 'IA -> WA'.
3
Diagram the third sentence.
Waives Appeal (WA) -> Stripped of Protections (~RP)
The phrase 'any... will automatically' introduces a sufficient condition. Note that 'stripped of protections' is the logical negation of 'retains protections' (RP).
4
Diagram the fourth sentence.
Maintains Embargo (ME) -> Retains Protections (RP)
The phrase 'retains... if it maintains' places the condition following 'if' as the sufficient condition.
5
Create a unified conditional chain.
SL -> IA -> WA -> ~RP. The contrapositive of the fourth premise is ~RP -> ~ME. Combining them yields: SL -> IA -> WA -> ~RP -> ~ME.
Linking the common terms allows us to see the full transitive relationship.
6
Derive the full contrapositive chain to find the correct answer.
ME -> RP -> ~WA -> ~IA -> ~SL
The correct answer often relies on reading the contrapositive chain from left to right. 'ME -> ~SL' perfectly matches the correct option.

Key Concept

Chaining Conditional Statements
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