Question
Conclusions: I. Some Flats are Buildings.
II. Some Apartments are Flats. III. No Building is a Roof. Statements: 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.Solution
From Statement I. No Building is a Flat (E) β Conversion β Some Flats are not Buildings (O). Hence conclusion I does not follow. No Building is a Flat (E) β Conversion β No Flat is a Building (E) + Some Buildings are Apartments (I) β Some Apartments are Flats (O*). Hence conclusion II does not follow. No Building is a Flat (E) + Some Flats are Roofs (I) β Some Roofs are not Buildings (O). Hence conclusion III does not follow. From Statement II. Some Buildings are not Flats (O) β Conversion β No conclusion. Hence conclusion I does not follow. Some Buildings are Apartments (I) β Conversion β Some Apartments are Buildings (I) + Some Buildings are not Flats (O) β No conclusion. Hence conclusion II does not follow. Some Buildings are not Flats (O) + All Flats are Roofs (A) β No conclusion. Hence conclusion III does not follow. From Statement III. Some Buildings are Flats (I) β Conversion β Some Flats are Buildings (I) . Hence conclusion I follows. Some Buildings are Flats (I) β Conversion β Some Flats are Buildings (I) + No Building is a Apartment (E) β Some Flats are not Apartments (O). Hence conclusion II does not follow. Some Buildings are Flats (I) + All Flats are Roofs (A) β Some Buildings are Roofs (I). Hence conclusion III does not follow. From Statement IV. All Buildings are Flats (A) β Conversion β Some Flats are Buildings (I) . Hence conclusion I follows. Some Buildings are Apartments (I) β Conversion β Some Apartments are Buildings (I) + All Buildings are Flats (A) β Some Apartments are Flats (I). Hence conclusion II follows. All Buildings are Flats (A) + No Flat is a Roof (E) β No Building is a Roof (E). Hence conclusion III follows.
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