Logical Inference Facts: A factory worker has five children. No one else in the factory has five children. Which conclusion is logically certain?

Verbal Reasoning Statement and Conclusion Difficulty: Easy
Choose an option
  • A
    All workers in the factory have five children each.
  • B
    Everybody in the factory has children.
  • C
    Some of the factory workers have more than five children.
  • D
    Only one worker in the factory has exactly five children.
  • E
    None of these

Answer

Correct Answer: Only one worker in the factory has exactly five children.

Explanation

Introduction / Context:We translate the two given facts into a clear, necessary conclusion without overgeneralizing beyond what is stated.

Given Data / Assumptions:

  • There exists a specific worker with exactly five children.
  • No other worker has exactly five children.

Concept / Approach:

  • Combine existence with uniqueness to form a precise conclusion.
  • Avoid adding claims about other workers’ family counts beyond what is warranted.

Step-by-Step Solution:

From the first fact, existence of at least one “five-children” worker is established.From the second fact, uniqueness is established: there is no other such worker.Therefore, exactly one worker in the factory has five children.

Verification / Alternative check:

Other workers may have 0, 1, 2, 3, 4, 6, etc., children; nothing is said about them. The unique-exact conclusion holds regardless.

Why Other Options Are Wrong:

a: Overgeneralization. b: Not implied. c: Not implied. e: Unnecessary because a correct specific conclusion exists.

Common Pitfalls:

Inferring facts about all workers from a single worker’s situation.

Final Answer:

Only one worker in the factory has exactly five children.
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