Question
In the question below there are three statements
followed by three conclusions I, II and III. You have to take the three 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 three statements disregarding commonly known facts. Statements: Some apples are oranges. Each orange is grapes. Only apples is kiwi. Some apples are mangoes. Conclusions: I. Some mangoes are grapes. II. Some oranges are mangoes. III. No orange is kiwi.Solution
Some apples are oranges (I) + Each orange is grapes (A) → Some apples are grapes (I) → Conversion → Some grapes are apples (I) + Some apples are mangoes (I). Hence conclusion I does not follow. Some apples are oranges (I) → Conversion → Some oranges are apples (I) + Some apples are mangoes (I) → No conclusion. Hence conclusion II does not follow. Only apples is kiwi → All kiwi are apples and kiwi cannot have positive relation with anyone. Hence conclusion III follows.
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