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    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:

    All Hill are Valley.

    All Valley are Mountain.

    Some Hill are River.

    Conclusions:

    I. Some Valley are River.

    II. Some Mountain are not Hills.

    III. All Mountain are River.

    A Only conclusion I follows Correct Answer Incorrect Answer
    B Only conclusion I and II follows Correct Answer Incorrect Answer
    C Only conclusion II and III follows Correct Answer Incorrect Answer
    D Only conclusion I and III follows Correct Answer Incorrect Answer

    Solution

    Some Hill are River (I) → Conversion → Some River are Hill (I) + All Hill are Valley (A) → Some River are Valley (I) → Conversion →   Some Valley are River (I). Hence conclusion I follows. All Hill are Valley (A) + All Valley are Mountain (A) → All Hill are Mountain (A). Hence conclusion II does not follow. All Hill are Mountain (A) → Conversion → Some Mountain are Hill (I) + Some Hill are River (I) → No conclusion. Hence conclusion III does not follow.

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