Statements:Some teachers are students.All students are girls.No student is a boy.Condusions:I. Some teachers are boys.II. Same girls are teachers.IlI. Some girls are students.
Correct answer: D. Only II and III follow
- A. Only I follows
- B. Only I, II and III follow
- C. Only II follows
- D. Only II and III follow
Explanation
The correct answer is D: 'Only II and III follow.' To analyze the conclusions:- Conclusion I ('Some teachers are boys') cannot be true because it contradicts the third statement that 'No student is a boy.' Since some teachers are students, it implies that those teachers cannot be boys.- Conclusion II ('Some girls are teachers') is valid because we know that some teachers are students, and since all students are girls, it follows that some of those girls must be teachers.- Conclusion III ('Some girls are students') is also valid as it directly follows from the statement that all students are girls.Thus, the only valid conclusions are II and III, making option D the correct choice.
This question appeared on the KMU MDCAT 2023 paper, which you can sit online with every answer explained.
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Syllogisms use categorical statements such as all, some and no to establish relationships between groups. Questions require checking whether conclusions necessarily follow from the premises, often by mental set relationships or Venn diagrams, and distinguishing valid deductions from conclusions that are merely possible.
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