Statements:
1. All squares are rectangles.
2. All rectangles are polygons.
Conclusions:
• I. Multi-sided polygons are necessarily squares.
• II. Every square is a polygon.

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A Only conclusion I follows
B Only conclusion II follows
C Neither I nor II follows
D Both I and II follow

Show answer and explanation

Answer: B. Only conclusion II follows

Answer: (B) Only conclusion II follows
Explanation:
• Statement 1 and 2 create nested circles: Squares ⊂ Rectangles ⊂ Polygons.
• Conclusion I is false because there can be many polygons (like hexagons or pentagons, or even rectangles that aren't squares) outside the square circle.
• Conclusion II is completely true because the entire Squares circle is trapped deep inside the massive Polygons circle.

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Statements: 1. All squares are rectangles. 2. All rectangles are polygons. Conclusions: • I. Multi-sided polygons are necessarily squares. • II. Every square is a polygon.

More questions like this

Statements:
1. All squares are rectangles.
2. All rectangles are polygons.
Conclusions:
• I. Multi-sided polygons are necessarily squares.
• II. Every square is a polygon.