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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. At least Some Nails are

    Hands. II. At least Some Fingers are Legs. Statements:
    A Some Hands are not Fingers. Some Hands are Legs. All Legs are Nails. Correct Answer Incorrect Answer
    B Some Hands are Fingers. All Hands are Legs. All Legs are Nails. Correct Answer Incorrect Answer
    C Some Legs are Fingers. Some Hands are Legs. All Nails are Fingers. Correct Answer Incorrect Answer
    D No Finger is a Leg. All Hands are Legs. Some Nails are Fingers. Correct Answer Incorrect Answer
    E None of the above. Correct Answer Incorrect Answer

    Solution

    From Statement I. Some Hands are Legs (I) + All Legs are Nails (A) → Some Hands are Nails (I) → Conversion → Some Nails are Hands (I). Hence conclusion I follows. Some Hands are Legs (I) → Conversion → Some Legs are Hands (I) + Some Hands are not Fingers (I) → No conclusion. Hence conclusion II does not follow. From Statement II.   All Hands are Legs (A) + All Legs are Nails (A) → All Hands are Nails (A) → Conversion → Some Nails are Hands (I). Hence conclusion I follows. Some Hands are Fingers (I) → Conversion → Some Finger are Hands (I) + All Hands are Legs (A) → Some Fingers are Legs (I). Hence conclusion II follows. From Statement III. All Nails are Fingers (A) → Conversion → Some Fingers are Nails (I). Some Legs are Fingers (I) + Some Fingers are Nails (I) → No conclusion. Hence conclusion I does not follow. Some Legs are Fingers (I) → Conversion → Some Finger are Legs (I). Hence conclusion II follows. From Statement IV. Some Nails are Fingers (I) + No Finger is a Leg (E) → Some Nails are not Fingers (O) + All Hands are Fingers (A) → No conclusion. Hence conclusion I does not follow. No Finger is a Leg (E) → Conversion → No Leg is an Finger (E). Hence conclusion II does not follow.

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