Question
Three statements are given, followed by three
conclusions numbered I, II and III. Assuming the statements to be true, even if they seem to be at variance with commonly known facts, decide which of the conclusions logically follow(s) from the statements . Statements. No hat is cap. All shirts are hats. All skirts are shirts. Conclusions. I. No skirt is a cap. II. Some shirts are cap. III. All skirts are hats.Solution
All shirts are hats (A) + No hat is cap (E) → Conversion → No shirt is a cap (E). All skirts are shirts (A) + No shirt is a cap (E) → No skirt is a cap (E). Hence conclusion I follow but conclusion II does not follow. All skirts are shirts (A) + All shirts are hats (A) → All skirts are hats (A). Hence conclusion III follows.
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