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Difficulty: MediumStatement and Conclusions or Inferences

Consider the following statements regarding a new national cybersecurity directive:

Statement 1: All government departments handling citizen financial records must migrate to quantum-resistant encryption by 2028.
Statement 2: Some municipal water authorities handle citizen financial records for billing purposes.
Statement 3: No department utilizing quantum-resistant encryption is vulnerable to standard brute-force attacks.

Which of the following conclusions can be logically drawn from the statements provided? (Select all valid inferences)

  1. Some municipal water authorities are required to migrate to quantum-resistant encryption by 2028.Answer
  2. At least some municipal water authorities will not be vulnerable to standard brute-force attacks once they implement the mandated migration.Answer
  3. C
    The transition to quantum-resistant encryption will impose a significant financial burden on municipal water authorities.
  4. D
    Government departments that do not handle citizen financial records are strictly exempt from adopting quantum-resistant encryption.

Answer

The logically valid inferences are that some municipal water authorities must migrate to quantum-resistant encryption, and that those specific authorities will not be vulnerable to standard brute-force attacks upon migration.
The valid conclusions are derived through direct categorical syllogism. Since all departments handling financial records must migrate, and some water authorities fall into this category, it is a logical certainty that some water authorities must migrate. Consequently, because no department using this encryption is vulnerable to standard brute-force attacks, the water authorities that execute this migration will inherently gain this invulnerability.

Step-by-Step Solution

1
Analyze the relationship between Statement 1 and Statement 2.
Identify that 'some municipal water authorities' fall into the category of 'government departments handling citizen financial records'.
To establish whether the encryption mandate applies to the municipal water authorities.
2
Apply the mandate rule from Statement 1 to the findings from Step 1.
Deduce that the specific municipal water authorities handling financial records are legally required to migrate to quantum-resistant encryption by 2028.
To test the validity of the conclusion regarding mandatory migration.
3
Evaluate Statement 3 in relation to the established facts.
Deduce that since these specific water authorities must utilize quantum-resistant encryption, they will consequently not be vulnerable to standard brute-force attacks.
To test the validity of the conclusion regarding future vulnerability.
4
Examine the remaining proposed conclusions for logical fallacies or external assumptions.
Reject the conclusions claiming financial burden and departmental exemptions.
Valid conclusions must be derived exclusively from the provided text without relying on outside knowledge or inverse fallacies.

Key Concept

Categorical Syllogism and Direct Logical Deduction
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Topics

Statement and Conclusions or Inferences

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