No teacher is rich — Syllogisms Aptitude Question
No teacher is rich: Statements: No teacher is rich. Some rich people are generous. Conclusions: I. Answer and worked solution on CodeKairo.
- Topic: Syllogisms
- Section: Logical Reasoning
- Difficulty: Hard
- Time target: 105 seconds
Question
Statements:
- No teacher is rich.
- Some rich people are generous.
Conclusions: I. Some generous people are not teachers. II. No generous person is a teacher.
Which conclusion follows?
Options
- Only I
- Only II
- Both
- Neither
Show the answer and the worked solution
Correct answer: A. Only I
Worked solution
- Some rich people are generous, and no rich person is a teacher, so those generous people are not teachers: I follows.
- Generous people who are not rich could be teachers, so II is too strong.
Answer: Only I.
The idea
Prefer the weaker 'some are not' over the universal 'no'. If one counter-drawing exists, the universal fails.
Shortcut. 'Some rich people are generous' + 'no rich person is a teacher' gives 'some generous people are not teachers'; a premise with 'some' can never yield a universal 'no'.
Common trap. "Both" — extending the 'no' to every generous person; generous people who are not rich may still be teachers.