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Zorluk: ZorStatement and Conclusions or Inferences

Read the following statements derived from a 2026 state governance audit carefully:

Statement 1: All municipal departments that have fully migrated to the 'GovCloud-26' platform have reported a minimum 30% reduction in data processing times.
Statement 2: No department within the Rural Development Ministry has achieved a 30% reduction in data processing times.
Statement 3: Some departments within the Rural Development Ministry handle critical public infrastructure data.

Based strictly on the statements above, which of the following conclusions logically follow? (Select all that apply)

  1. No department within the Rural Development Ministry has fully migrated to the 'GovCloud-26' platform.Cevap
  2. Some departments handling critical public infrastructure data have not fully migrated to the 'GovCloud-26' platform.Cevap
  3. C
    The 'GovCloud-26' platform is currently technically incompatible with the legacy systems used by the Rural Development Ministry.
  4. D
    Any municipal department that has not fully migrated to the 'GovCloud-26' platform will fail to achieve a 30% reduction in data processing times.

Cevap

The logically valid conclusions are that no department within the Rural Development Ministry has fully migrated to the platform, and that some departments handling critical infrastructure data have not fully migrated.
The correct conclusions are derived using strict formal logic. First, using the rule of Modus Tollens: if migrating guarantees a 30% reduction, and the Rural Development Ministry did not get this reduction, they absolutely could not have migrated. Second, using categorical syllogism: since some critical infrastructure departments are part of this ministry, and the entire ministry has not migrated, it logically follows that those specific critical infrastructure departments have not migrated.

Adım Adım Çözüm

1
Analyze the relationship between GovCloud-26 migration and processing times from Statement 1.
Migration (M) -> 30% Reduction (R). This is a conditional statement (If M, then R).
To establish the primary premise for deductive reasoning.
2
Apply Modus Tollens using Statement 2.
Statement 2 states that Rural Development departments (RD) do not have a 30% Reduction (~R). Since M -> R, the presence of ~R logically implies ~M. Therefore, no RD department has migrated to GovCloud-26.
This directly proves the validity of the first correct conclusion.
3
Combine the deduction from Step 2 with Statement 3 using categorical syllogism.
Statement 3 establishes that Some RD are Critical Infrastructure (C). From Step 2, we know All RD are ~M. Therefore, Some C are ~M (Some critical infrastructure departments have not migrated).
This proves the validity of the second correct conclusion.
4
Evaluate remaining options against the strict boundaries of the given text.
Reject conclusions that introduce outside reasons (like technical incompatibility) or commit formal logical fallacies (like assuming ~M -> ~R).
To ensure conclusions are strictly derived from the provided statements without external assumptions.

Anahtar Kavram

Formal Logic, Modus Tollens, and Categorical Syllogisms
Tahmini Süre:1m 30s
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Konular

Statement and Conclusions or Inferences

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