GATE ME 2022 Set 1 — Question 9
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General Aptitude → Analytical Aptitude → Deduction & Induction
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Question
Given below are three conclusions drawn based on the following three statements.Statement 1: All teachers are professors.
Statement 2: No professor is a male.
Statement 3: Some males are engineers.Conclusion I: No engineer is a professor.
Conclusion II: Some engineers are professors.
Conclusion III: No male is a teacher.Which one of the following options can be logically inferred?
Statement 2: No professor is a male.
Statement 3: Some males are engineers.Conclusion I: No engineer is a professor.
Conclusion II: Some engineers are professors.
Conclusion III: No male is a teacher.Which one of the following options can be logically inferred?
Correct answer
(A) Only conclusion III is correct
Solution
Statement 1: (All teachers are professors)
Statement 2: (No professor is a male)
Statement 3: (Some males are engineers)Conclusion I: . This is not necessarily true. While the engineers who are males cannot be professors, there could be other engineers who are not males and are professors.
Conclusion II: . This is also not necessarily true.
Conclusion III: . Since and , it follows that . Thus, no male is a teacher. This is logically correct.Therefore, only conclusion III is correct.
Statement 2: (No professor is a male)
Statement 3: (Some males are engineers)Conclusion I: . This is not necessarily true. While the engineers who are males cannot be professors, there could be other engineers who are not males and are professors.
Conclusion II: . This is also not necessarily true.
Conclusion III: . Since and , it follows that . Thus, no male is a teacher. This is logically correct.Therefore, only conclusion III is correct.
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