Discussion
Given below are three statements and four conclusions drawn based on the statements.
Statement 1: Some engineers are writers.
Statement 2: No writer is an actor.
Statement 3: All actors are engineers.
Conclusion I: Some writers are engineers.
Conclusion II: All engineers are actors.
Conclusion III: No actor is a writer.
Conclusion IV: Some actors are writers.
Which one of the following options can be logically inferred?
Answer: C
The correct option is only conclusion I and conclusion III are correct.
Conclusion I is the converse of Statement 1: if some engineers are writers, then those same people are writers who are engineers, so some writers are engineers. Conclusion III is the converse of Statement 2: “No writer is an actor” means writers and actors do not overlap at all, so no actor is a writer.
Conclusion II does not follow: all actors are engineers, but that does not make all engineers actors. Conclusion IV contradicts Statement 2, so it is false, and the “either III or IV” option is wrong because III is definitely true and IV definitely false, not an either-or pair. Only I is incomplete, since III also follows.
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