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Difficulty: HardParallel Conditional Logic

Proper preservation of the newly discovered frescoes requires maintaining strict humidity controls in the gallery. However, the gallery's ancient wooden ceiling will avoid structural damage only if strict humidity controls are not maintained. Consequently, if the newly discovered frescoes are properly preserved, the gallery's ancient wooden ceiling will suffer structural damage.

The reasoning in the argument above is most similar to that in which one of the following?

  1. Successful cultivation of the rare orchid demands highly acidic soil. Yet, the native ferns in the same greenhouse will thrive only if the soil is not highly acidic. Therefore, if the rare orchids are successfully cultivated, the native ferns will not thrive.Answer
  2. B
    Securing the startup funding requires presenting a detailed financial model. But the angel investor will remain interested only if a detailed financial model is not presented. Therefore, if the angel investor loses interest, the startup funding will be secured.
  3. C
    Building significant muscle mass requires consuming a high protein diet. However, an athlete's digestion will remain optimal only if a high protein diet is not consumed. Thus, if someone fails to build significant muscle mass, their digestion will remain optimal.
  4. D
    Graduating with honors requires completing a senior thesis. But the student council president can fulfill her duties only if she does not complete a senior thesis. Therefore, if the student council president fulfills her duties, she probably will not graduate with honors.
  5. E
    Launching the communications satellite requires clear weather conditions. The launch pad operations can proceed only if there are clear weather conditions. Therefore, if the satellite is launched, the launch pad operations will proceed.

Answer

The argument demonstrating that successful cultivation of the rare orchid leads to the native ferns not thriving.
The stimulus follows this exact pattern: Condition X requires Condition Y. Condition Z occurs only if Condition Y does NOT occur. Therefore, if Condition X occurs, Condition Z will NOT occur (because Z's necessary condition is blocked). The correct answer choice perfectly mirrors this: Orchid cultivation (X) requires acidic soil (Y). Ferns thriving (Z) happens only if there is no acidic soil (not Y). Therefore, Orchid cultivation (X) guarantees ferns will not thrive (not Z). Both arguments are logically valid and share the same absolute modal certainty.

Step-by-Step Solution

1
Diagram the conditional premises of the stimulus.
Premise 1: Frescoes Preserved (FP) -> Strict Humidity Controls (SHC). Premise 2: Avoid Damage (AD) -> NOT Strict Humidity Controls (~SHC).
To reveal the underlying logical framework used to reach the conclusion.
2
Diagram the conclusion of the stimulus.
Conclusion: Frescoes Preserved (FP) -> Suffer Damage (~AD).
To identify the exact relationship drawn from the premises.
3
Identify the logical operation used to connect the premises.
By taking the contrapositive of Premise 2 (SHC -> ~AD), we can form a valid transitive chain: FP -> SHC -> ~AD.
Understanding how the conclusion was validly derived is necessary to find its structural parallel.
4
Evaluate the answer choices to find the exact same structure (A -> B; C -> ~B; Conclusion: A -> ~C) with identical absolute modal strength.
The correct argument translates to: Rare Orchid (RO) -> Highly Acidic (HA); Ferns Thrive (FT) -> ~HA. Conclusion: RO -> ~FT. This is structurally isomorphic to the stimulus.
Parallel reasoning requires matching the formal logic symbols and the certainty level exactly.

Key Concept

Parallel Conditional Logic involving transitive chains and contrapositives.
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Topics

Parallel Conditional Logic

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