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    Question

    In the question below there are two conclusions followed by four statements in the options. You have to take the given three statements to be true even if they seem to be at variance from the commonly known facts and then decide which of the given statements are true disregarding the commonly known facts 

    Conclusions: I. Some Rats are Cats. II.

    Few Cows are Dogs.
    A Only a few Dogs are Cats. Some Cats are Cows. Only Cows are Rats. Correct Answer Incorrect Answer
    B All Rats are Cows. Some Cows are Cats. All Cats are Dogs. Correct Answer Incorrect Answer
    C All Cats are Dogs. All Dogs are Rats. All Cats are Cows. Correct Answer Incorrect Answer
    D Few Dogs are Cats. Few Cows are Rats. No Rat is a Dog. Correct Answer Incorrect Answer
    E None of the above Correct Answer Incorrect Answer

    Solution

    From Statement I. Only Cows are Rats → All Rats are Cows and Rats cannot have positive relation with anyone. Hence conclusion I does not follow. Only a few Dogs are Cats (I) + Some Cats are Cows (I) → No conclusion. Hence conclusion II does not follow. From Statement II. All Rats are Cows (A) + Some Cows are Cats (I) → No conclusion. Hence conclusion I does not follow. Some Cows are Cats (I) + All Cats are Dogs (A) → Some Cows are Dogs (I). Hence conclusion II follows. From Statement III. All Cats are Dogs (A) + All Dogs are Rats (A) → All Cats are Rats (A) → Conversion → Some Rats are Cats (I). Hence conclusion I follows . All Cats are Dogs (A) → Conversion → Some Dogs are Cats (I) + All Cats are Cows (A) → Some Dogs are Cows (I) → Conversion → Some Cows are Dogs (I). Hence conclusion II follows. From Statement IV. No Rat is a Dog (E) + Few Dogs are Cats (I) → Some Cats are not Rats (O*). Hence conclusion I does not follow. Few Cows are Rats (I) + No Rat is a Dog (E) → Some Cows are not Dogs (I) + Few Dogs are Cats (I) → No conclusion. Hence conclusion II does not follow.

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