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Zorluk: KolayMust Be True / Most Strongly Supported

At the Maritime History Museum, every ship model constructed prior to 1850 is housed in a climate-controlled glass display case. Furthermore, any artifact housed in a climate-controlled glass display case is inspected weekly for humidity damage. No artifact inspected weekly for humidity damage is permitted to be loaned out for traveling exhibitions.

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

  1. A
    Any artifact at the Maritime History Museum that is inspected weekly for humidity damage is a ship model constructed prior to 1850.
  2. B
    Any ship model at the Maritime History Museum constructed after 1850 is permitted to be loaned out for traveling exhibitions.
  3. No ship model at the Maritime History Museum constructed prior to 1850 is permitted to be loaned out for traveling exhibitions.Cevap
  4. D
    Every artifact at the Maritime History Museum is eventually housed in a climate-controlled glass display case.
  5. E
    Traveling exhibitions never feature artifacts that require specialized preservation techniques.

Cevap

No ship model at the Maritime History Museum constructed prior to 1850 is permitted to be loaned out for traveling exhibitions.
The correct option is derived by combining the given conditional rules into a single unbroken chain: if an artifact is a pre-1850 ship model, it must be housed in a climate-controlled case; if it is in such a case, it must receive weekly humidity inspections; and if it receives weekly humidity inspections, it is not permitted to be loaned for traveling exhibitions. Therefore, no pre-1850 ship model can be loaned for traveling exhibitions.

Adım Adım Çözüm

1
Identify and translate the conditional premises into formal logical rules
Rule 1: Pre-1850 ship model → Climate-controlled case; Rule 2: Climate-controlled case → Weekly humidity inspection; Rule 3: Weekly humidity inspection → NOT permitted for traveling exhibitions.
Isolating each conditional relationship clarifies the valid deductive pathways available.
2
Connect the conditional statements into a continuous chain
Pre-1850 ship model → Climate-controlled case → Weekly humidity inspection → NOT permitted for traveling exhibitions.
The necessary condition of each preceding premise matches the sufficient condition of the subsequent premise.
3
Derive the valid deductive conclusion connecting the first term to the last
Pre-1850 ship model → NOT permitted for traveling exhibitions (i.e., no pre-1850 ship model is permitted to be loaned out for traveling exhibitions).
Transitive deduction strictly guarantees this conclusion without requiring any external assumptions.

Anahtar Kavram

Conditional Chaining and Deductive Inference
Tahmini Süre:50s
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