Question
In the question below there are three statements
followed by three conclusions I, II and III. You have to take the four given statements to be true even if they seem to be at variance from commonly known facts and then decide which of the given conclusions logically follows from the given statements disregarding commonly known facts. Statements: All Animals are Pets. Some Dogs are Animals. No Pet is Cat. Conclusions: I. Some Dogs are Pets is a possibility. II. Some Animals are Cats is a possibility. III. Some Cats are Dogs.Solution
Some Dogs are Animals (I) + All Animals are Pets (A) β Some Dogs are Pets (I). Hence conclusion I does not follow. All Animals are Pets (A) + No Pet is Cat (E) β No Animals is a Cat (E). Hence conclusion II does not follow. Some Dogs are Pets (I) + No Pets is Cat (E) β Some Dogs are not Cat (O). Hence conclusion III does not follow.
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