Statements:A. All artists are painters.B. All actors are gentle.C. All gentle are painters.Conclusions:I. No artist is actor.II. All painters are actors.III. Some gentle are not actorsIV. Some artist are not gentle.None followsOnly I followsOnly II followsOnly Ill follows
Question
Statements:A. All artists are painters.B. All actors are gentle.C. All gentle are painters.Conclusions:I. No artist is actor.II. All painters are actors.III. Some gentle are not actorsIV. Some artist are not gentle.None followsOnly I followsOnly II followsOnly Ill follows
Solution
The given statements are:
A. All artists are painters. B. All actors are gentle. C. All gentle are painters.
Let's analyze each conclusion:
I. No artist is actor. This conclusion cannot be drawn from the given statements. It is possible for an artist to also be an actor, as both can be painters and gentle. So, this does not follow.
II. All painters are actors. This conclusion cannot be drawn from the given statements. While all actors are gentle and all gentle are painters, it does not mean that all painters are actors. So, this does not follow.
III. Some gentle are not actors This conclusion cannot be drawn from the given statements. According to the statements, all actors are gentle, but it does not specify that some gentle are not actors. So, this does not follow.
IV. Some artist are not gentle. This conclusion cannot be drawn from the given statements. According to the statements, all artists are painters and all gentle are painters, but it does not specify that some artists are not gentle. So, this does not follow.
Therefore, none of the conclusions follow from the given statements.
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