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

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Solve this multiple-choice question and choose the correct option.

Accepted Answer

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.

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

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