Some players are not tall — Syllogisms Aptitude Question
Some players are not tall: Statements: All tall people are players. Some players are not tall. Conclusions: I. Answer and worked solution on CodeKairo.
- Topic: Syllogisms
- Section: Logical Reasoning
- Difficulty: Medium
- Time target: 75 seconds
Question
Statements:
- All tall people are players.
- Some players are not tall.
Conclusions: I. Some players are tall. II. All players are tall.
Which conclusion follows?
Options
- Only I
- Only II
- Both
- Neither
Show the answer and the worked solution
Correct answer: A. Only I
Worked solution
- All tall people are players, and tall people exist, so some players are tall: I follows.
- Statement 2 says some players are not tall, which directly contradicts II.
Answer: Only I.
The idea
When a statement directly contradicts a conclusion, that conclusion can be rejected without any drawing at all.
Shortcut. I is statement 1 converted ('All tall people are players' → 'some players are tall'); II is the exact contradictory of statement 2.
Common trap. "Neither" — rejecting I as a reversed 'all' statement; the limited converse holds because tall people exist.