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Under the revised maritime regulations, all commercial freight vessels operating within the Obsidian Strait are required to feature double-layered hulls. Furthermore, any vessel featuring a double-layered hull incurs a maintenance cost that is significantly higher than that of a standard single-hulled ship. According to recent shipping logs, most of the vessels currently operating within the Obsidian Strait are commercial freight vessels.

If all of the statements above are true, which one of the following can be logically inferred?

  1. A
    Any vessel that incurs a significantly higher maintenance cost than a standard single-hulled ship features a double-layered hull.
  2. B
    Every vessel currently operating within the Obsidian Strait features a double-layered hull.
  3. Most of the vessels currently operating within the Obsidian Strait incur a maintenance cost that is significantly higher than that of a standard single-hulled ship.Cevap
  4. D
    Commercial freight vessels that do not operate within the Obsidian Strait are not required to feature double-layered hulls.
  5. E
    The revised maritime regulations were implemented because double-layered hulls are more effective at preventing environmental disasters in the Obsidian Strait.

Cevap

Most of the vessels currently operating within the Obsidian Strait incur a maintenance cost that is significantly higher than that of a standard single-hulled ship.
The stimulus establishes a formal logic chain: all commercial freight vessels in the Obsidian Strait must have double-layered hulls, and all vessels with double-layered hulls incur higher maintenance costs. By combining these premises, we can deduce that all commercial freight vessels in the Obsidian Strait incur higher maintenance costs. Furthermore, the text establishes that most of the vessels currently operating in the Strait are commercial freight vessels. If most of the vessels in the Strait belong to a category that universally incurs higher maintenance costs, it must logically follow that most vessels in the Strait incur higher maintenance costs.

Adım Adım Çözüm

1
Analyze the conditional statements provided in the stimulus.
Premise 1: If a commercial freight vessel operates in the Obsidian Strait, it has a double-layered hull. Premise 2: If a vessel has a double-layered hull, it has higher maintenance costs.
To establish the formal logical rules governing the scenario.
2
Combine the conditional premises into a logical chain.
If a commercial freight vessel operates in the Obsidian Strait, it incurs higher maintenance costs.
Transitive property of formal logic (A implies B, and B implies C; therefore A implies C).
3
Apply the quantifier statement to the logical chain to determine the necessary inference.
Since 'most' vessels operating in the Strait are commercial freight vessels, and 'all' of those incur higher maintenance costs, it follows that 'most' vessels in the Strait must incur higher maintenance costs.
To deduce a final truth by applying a universal rule to a majority subgroup.

Anahtar Kavram

Combining formal conditional logic chains with quantifier statements ('most') to draw a valid necessary inference.
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