Take the statements below to be true, even if they differ from known facts. Which of the conclusions follow logically from them?
Statements:
1. All harps are treasures.
2. Some harps are relics.
3. No treasure is a bargain.
Conclusions:
I. Some relics are not bargains.
II. All relics being treasures is a possibility.
Answer & explanation
Correct answer: option 1
The correct answer is Option (1) → Both conclusions I and II follow
A “possibility” conclusion follows if it is true in at least one diagram that fits the statements; an ordinary conclusion must be true in every such diagram.
“All harps are treasures”: the circle of harps lies inside the circle of treasures
“Some harps are relics”: the circles of harps and relics overlap
“No treasure is a bargain”: the circles of treasures and bargains do not touch
Conclusion I: Some relics are not bargains. — Follows. The relics that are harps are treasures, because every harp is a treasure, and no treasure is a bargain; so these relics are not bargains.
Conclusion II: All relics being treasures is a possibility. — Follows. Nothing stops all the relics lying inside the treasures: the diagram fits all three statements and in it every relic is a treasure.