Statements: Apples # Banana Pears % Banana Papaya & Banana Grapes # Papaya
Conclusions:
I. Apples % Pears
II. Grapes ≤ Papaya
III. Pears $ Papaya
IV. Grapes & Apples
Statements: Only a few Banana is Apples Some Pears is Banana No Papaya is Banana Only a few Papaya is Grapes Conclusions: I. Some Apples are Pears II. Some Papayas are not Grapes III. All Pears can be Papaya IV. No Grapes is Apples Some Pears is Banana (I) + Only a few Banana is Apples (I) → No conclusion. Hence conclusion I does not follow. Only a few Papaya is Grapes → Some Papayas are not Grapes. Hence conclusion II follows. Some Pears is Banana (I) + [No Papaya is Banana (E) → Conversion] → No Banana is Papaya (E) → Some Pears are not Papaya (O) → Probable conclusion → Some Pears can be Papaya (I). Hence conclusion III does not follow. No Papaya is Banana (E) + Only a few Banana is Apples (I) → Some Apples are not Papayas (O) + Only a few Papaya is Grapes (I) → No conclusion. Hence conclusion IV does not follow.
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