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Question

In each question below are given some statements followed by some conclusions numbered I, II, etc are given. You have to take the given statements to be true even if they seem to be at variance with commonly known facts and then decide which of the given conclusions logically follows from the given statements, disregarding commonly known facts.

Statements:

Some Venice are Godot.

Some Milan are Godot.

Some Italy are Milan.

Conclusions:

I. Some Venice are definitely Milan.

II. Some Italy being Godot is a possibility.

III. At least some Italy are Venice.

IV. All Godot being Venice is a possibility.

A None follows Correct Answer Incorrect Answer
B I and II follow Correct Answer Incorrect Answer
C II and IV follow Correct Answer Incorrect Answer
D I and IV follow Correct Answer Incorrect Answer
E None of the above Correct Answer Incorrect Answer

Solution

Some Milan are Godot(I) + Some Venice are Godot⇒ Conversion ⇒ Some Godot are Venice (I) ⇒ No conclusion. Hence conclusion I does not follow. Some Italy are Milan(I) + Some Milan are Godot(I) ⇒ Possibility ⇒ Some Italy being Godot is a possibility(I). Hence conclusion II follows. Some Italy are Milan(I) + Some Milan are Godot(I) ⇒ No conclusion. Hence conclusion III does not follow. Some Venice are Godot(I) ⇒ Conversion ⇒ Some Godot are Venice(I) ⇒ Probable conclusion ⇒ All Godot being Venice is a possibility. Hence conclusion IV follows. ALTERNATE SOLUTION: Minimal Possibility

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