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.

    Statements:

    All Helpers are Maids.

    All Maids are Workers.

    Some Helpers are Supervisors.

    Conclusion:

    I. Some Maids are Supervisors.

    II. Some Workers are Supervisors.

    III. Some Supervisors are not Workers.

    A Only conclusions I and II follow Correct Answer Incorrect Answer
    B All the conclusions follow Correct Answer Incorrect Answer
    C Only conclusions I and III follow Correct Answer Incorrect Answer
    D Only conclusion III follows Correct Answer Incorrect Answer

    Solution

    Some Helpers are Supervisors (I) → Conversion → Some Supervisors are Helpers (I) + All Helpers are Maids (A) → Some Supervisors are Maids (I) → Conversion → Some Maids are Supervisors (I). Hence conclusion I follows Some Helpers are Supervisors (I) → Conversion → Some Supervisors are Helpers (I) + All Helpers are Maids (A) → Some Supervisors are Maids (I) + All Maids are Workers (A) → Some Supervisors are Workers (I) → Conversion → Some Workers are Supervisors (I). Hence conclusion II follows but conclusion III does not follow.

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