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. Statement: Some Cat are Dog. All Lion are Tiger. No Lion is Dog. Conclusions: I. Some Cat are Tiger. II. Some Cat are not Lion. III. Some Dog are Tiger.Solution
All Lion are Tiger (A) β Some Tiger are Lion (I) + No Lion is Dog (E) β Some Tiger are not Dog (O). Hence conclusion I does not follow. Some Cat are Dog (I) + No Lion is Dog (E) β Conversion β No Dog is Lion (E) β Some Cat are not Lion (O). Hence conclusion II follows. Some Cat are not Lion (O) + All Lion are Tiger (A) β No conclusion. Hence conclusion III does not follow.
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