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Zorluk: OrtaCannot Be True Questions

Every commercial vehicle operating within the inner city limits must be powered entirely by an electric motor and be registered with the municipal transport authority. Furthermore, no vehicle registered with the municipal transport authority is permitted to exceed a gross weight of eight tons. Currently, several commercial vehicles owned by Apex Freight exceed a gross weight of eight tons.

If the statements above are true, which one of the following cannot be true?

  1. A
    Some vehicles registered with the municipal transport authority are not powered entirely by an electric motor.
  2. B
    None of the commercial vehicles owned by Apex Freight operate within the inner city limits.
  3. Some commercial vehicles operating within the inner city limits have a gross weight exceeding eight tons.Cevap
  4. D
    At least one commercial vehicle owned by Apex Freight operates within the inner city limits.
  5. E
    Some commercial vehicles that exceed a gross weight of eight tons are powered entirely by an electric motor.

Cevap

The statement claiming that some commercial vehicles operating within the inner city limits have a gross weight exceeding eight tons cannot be true.
The stimulus establishes a firm deductive chain: operating in the inner city requires registration, and registration guarantees a weight of eight tons or less. By the transitive property, any vehicle operating in the inner city must weigh eight tons or less. The correct answer states that there are vehicles operating in the inner city that exceed eight tons, which directly contradicts our deduction and is therefore logically impossible.

Adım Adım Çözüm

1
Analyze the first conditional requirement.
If a commercial vehicle operates in the inner city limits, it must be powered by an electric motor AND be registered with the municipal transport authority.
To establish the necessary conditions for inner city operation.
2
Analyze the second conditional requirement.
If a vehicle is registered with the municipal transport authority, it CANNOT exceed a gross weight of eight tons.
To establish the limitations placed on registered vehicles.
3
Chain the conditional statements together.
Inner city operation -> Registered -> NOT exceeding eight tons. Therefore, any vehicle operating in the inner city cannot exceed eight tons.
To deduce the implicit rule governing vehicle weight within the inner city.
4
Evaluate the options to find the one that contradicts this deduction.
The option stating that some inner city vehicles exceed eight tons directly violates the deduced rule.
In a 'Cannot Be True' question, the correct answer is the one that is mathematically or logically impossible given the premises.

Anahtar Kavram

Chaining conditional statements to find a direct logical contradiction.
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Cannot Be True Questions

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