Statements:
Some Singer are Doctor.
Only Doctor are Dancer.
Only a few Doctor are Painter.
Conclusions:
I. Some Painter being Singer is a possibility.
II.Some Dancer are not Painter is a possibility.
III. All Doctor cannot be Singer.
Some Singer are Doctor (I) + Some Doctor are Painter (I) → Probable conclusion → Some Painter may be Singer (I). Hence conclusion I follows. Only Doctor are Dancer means All Dancer are Doctor and in this case Dancer will not have any relation to anyone. Hence II does not follow. Some Singer are Doctor (I) ) → Probable conclusion → All Doctor cannot be Singer (A). Hence conclusion III follows. Alternate Method -
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