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