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: All Dancers are Painters. Some Painters are Singers. No Painter is Player. Conclusions:
I. Some Singers are not Players.
II. Some Dancers are Singers.
III. Some Singers are Players.
Solution
Some Painters are Singers (I) → Some Singers are Painters (I) + No Painter is Player (E) → Some Singers are not Players (O). Hence conclusion I follows but conclusion III does not follow. All Dancers are Painters (A) + Some Painters are Singers (I) → No conclusion. Hence conclusion II does not follow.
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