All roses are flowers — Syllogisms Aptitude Question
All roses are flowers: Statements: All roses are flowers. Some flowers fade quickly. Conclusions: I. Answer and worked solution on CodeKairo.
- Topic: Syllogisms
- Section: Logical Reasoning
- Difficulty: Medium
- Time target: 90 seconds
Question
Statements:
- All roses are flowers.
- Some flowers fade quickly.
Conclusions: I. Some roses fade quickly. II. All flowers are roses.
Which conclusion follows?
Options
- Only I
- Only II
- Both
- Neither
Show the answer and the worked solution
Correct answer: D. Neither
Worked solution
- The flowers that fade quickly might all lie outside the rose group, so I does not follow.
- 'All flowers are roses' reverses the first statement, which is invalid.
- Neither conclusion follows.
Answer: Neither.
The idea
'All A are B' plus 'some B are C' yields nothing about A and C. Only a middle term that covers the whole of the relevant class transmits the property.
Shortcut. 'Flowers' is never covered in full — predicate of an 'all', subject of a 'some' — so nothing links roses to fading; II is an illegal full converse.
Common trap. "Only I" — assuming the quick-fading flowers include some roses; they can all be other flowers.