Given below are three statements and four conclusions drawn based on the statements.
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?
Options:
(A) Only conclusion I is correct
(B) Only conclusion II and conclusion III are correct
(C) Only conclusion I and conclusion III are correct
(D) Either conclusion III or conclusion IV is correct
Official Answer Key:
C
Step-by-Step Solution & Explanation
• Statement 1 (“Some engineers are writers”) converts validly to “Some writers are engineers” — validates Conclusion I.
• Statement 2 (“No writer is an actor”), a universal negative, converts validly to “No actor is a writer” — validates Conclusion III.
• Conclusion II does not follow: Statement 3 (all actors are engineers) does not imply the converse (all engineers are actors).
• Conclusion IV directly contradicts Statement 2/Conclusion III, so it is false, not an alternative.
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