Question
Statements: All boxes are cups. All chairs are
cups. All cups are mirrors. All tables are mirrors. Conclusions:I. some tables are chairs. II. Some mirrors are boxes. III. Some mirrors are chairs. In each question below are given four statements followed by three conclusions numbered I, II and III.You have to take the four 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 two given statements, disregarding commonly known facts.Solution
All chairs are cups(A) + All cups are mirrors(A) ⇒ All chairs are mirrors(A) + [All tables are mirrors(A)] → Conversion → Some mirrors are tables(I) ⇒ No conclusion. Hence conclusion I does not follow. All boxes are cups (A) + All cups are mirrors (A) = All boxes are mirrors (A) → Conversion → Some mirrors are boxes (I). Hence, conclusion II follows. All chairs are cups (A) + All cups are mirrors (A) = All chairs are mirrors (A) → Conversion → Some mirrors are chairs (I). Hence, conclusion III also follows.
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