All squares are rectangles — Syllogisms Aptitude Question
All squares are rectangles: Statements: All squares are rectangles. All rectangles are quadrilaterals. Answer and worked solution on CodeKairo.
- Topic: Syllogisms
- Section: Logical Reasoning
- Difficulty: Easy
- Time target: 60 seconds
Question
Statements:
- All squares are rectangles.
- All rectangles are quadrilaterals.
Conclusions: I. All squares are quadrilaterals. II. All quadrilaterals are squares.
Which conclusion follows?
Options
- Only I
- Only II
- Both
- Neither
Show the answer and the worked solution
Correct answer: A. Only I
Worked solution
- Squares ⊂ rectangles ⊂ quadrilaterals, so I follows.
- II reverses the chain entirely and is invalid.
Answer: Only I.
The idea
Nested categories pass properties downwards to the smaller class, never upwards to the larger one.
Shortcut. II runs the chain backwards, so drop every option containing II; the forward chain squares → rectangles → quadrilaterals gives I.
Common trap. "Both" — accepting II, the full reversal of the chain; many quadrilaterals are not squares.