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    Question

    In the question below some statements are given two conclusions followed by some statements. You have to take the given statements to be true even if they seem to be at variance with commonly known facts. Read the conclusions and then decide which of the following statement is true for given conclusions.

    Conclusions: I. 20% Mothers can be Sisters.

    II. 40% Brother are not Mothers. Statements:
    A Only a few Brother are Fathers. Few Fathers are Mothers. No Mother is a Sister. Correct Answer Incorrect Answer
    B 100% Fathers are Sisters. Few Mothers are Fathers. Only Mothers is Brother. Correct Answer Incorrect Answer
    C No Brother is a Mother. Only a few Mothers are Fathers. All Sisters are Fathers. Correct Answer Incorrect Answer
    D Few Fathers are Mothers. Only a few Mothers are Sisters. 40% Fathers are Brother. Correct Answer Incorrect Answer
    E Both 'c' and 'd'. Correct Answer Incorrect Answer

    Solution

    From Statement I. No Mothers is a Sisters (E) → Probable conclusion → No conclusion. Hence conclusion I does not follow. Only a few Brother are Fathers (I) + Few Fathers are Mothers (I) → No conclusion. Hence conclusion II does not follow. From Statement II. Few Mothers are Fathers (I) + 100% Fathers are Sisters (A) → Some Mothers are Sisters (I). Hence conclusion I does not follow. Only Mothers is Brother → All Brother are Mothers and Brother can have negative relation with anyone. Hence conclusion II follows.   From Statement III. Only a few Mothers are Fathers (I) + [ All Sisters are Fathers (A) → Conversion → Some Fathers are Sisters  (I) → Probable conclusion → Some Mothers can be Sisters (I). Hence conclusion I follows. No Brother is a Mother (E) → Conversion → No Brother is a Mother (E) → Conversion → Some Mothers are not Brother (O).  Hence conclusion II follows. From Statement IV. Only a few Mothers are Sisters → Some Mothers are Sisters (I). Hence conclusion I does not follow. Few Fathers are Mothers (I) + 40% Fathers are Brother (I) → No conclusion. Hence conclusion II does not follow.

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