Question
Three statements are given followed by three conclusions
numbered I, II and III. Assuming the statements to be true, even if they seem to be at variance with commonly known facts, decide which of the conclusions logically follow(s) from the statements. Statements: Some lockers are keys. Some lockers are doors. All doors are windows. Conclusions: I. Some windows are doors. II. Some keys are doors. III. Some lockers are windows.Solution
All doors are windows (A) β Conversion β Some windows are doors (I). Hence conclusion I follows. Some lockers are keys (I) β Conversion β Some keys are lockers (I) + Some lockers are doors (I) β Hence conclusion II does not follow. Some lockers are doors (I) + All doors are windows (A) β Some lockers are windows (I). Hence conclusion III follows.
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