Question
Read the given statements and conclusions carefully.
Assuming that the information given in the statements is true, even if it appears to be at variance with commonly known facts, decide which of the given conclusions logically follow(s) from the statements. Statements: All nails are hand. All hand are fingers. Some arms are fingers. Conclusions: I. Some fingers are nails. II. Some arms are hand. III. All hand are nails.Solution
All nails are hand (A) + All hand are fingers (A) → All nails are fingers (A) → Conversion → Some fingers are nails. (I). Hence conclusion I follows. Some arms are fingers (I) + [All hand are fingers (A) → Conversion] → Some fingers are hand (I) → No conclusion. Hence conclusion II does not follow. All nails are hand (A) → Conversion → Some hand are nails. (I). Hence conclusion III does not follow.
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