Question
In the question below some statements are given followed by three conclusions I, II, and
III. You have to take the given statements to be true even if they seem to be at variance with commonly known facts. Read all the conclusions and then decide which of the given conclusion definitely follows from the given statements, disregarding commonly known facts. Statements: Some Circles are Squares. No Square is a Rectangle. Some Rectangles are Triangles. Conclusions:
I. Some Circles are not Rectangles.
II. Some Triangles are not Squares.
III. Some Triangles are not Circles.
Solution
Some Circles are Squares (I) + No Square is a Rectangle (E) → Some Circles are not Rectangles (O). Hence conclusion I follows. No Square is a Rectangle (E) + Some Rectangles are Triangles (I) → Some Triangles are not Squares (O*). Hence conclusion II follows. Some Circles are not Rectangles (O) + Some Rectangles are Triangles (I) → No conclusion. Hence conclusion III does not follow.
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