Question
In the question below there are four statements
followed by four conclusions I, II, III and IV. You have to take the four given statements to be true even if they seem to be at variance from commonly known facts and then decide which of the given conclusions logically follows from the four statements disregarding commonly known facts. Statements: Only a few Squares are Triangles Few Triangles are Rectangles All Rectangles are Circle Every Triangles are Sphere Conclusion: I. All Spheres can be Squares II. Some Circle can be Triangles III. Some Rectangles are Spheres IV. All Squares can be TrianglesSolution
Only a few Squares are Triangles (I) + Every Triangles are Sphere (A) β Some Squares are Sphere (I) β Probable conclusion β All Sphere may be Squares (I). Hence conclusion I follows. Few Triangles are Rectangles (I) + All Rectangles are Circle (A) β Some Triangles are Circle (I) β Conversion β Some Circle are Triangles (I). Hence conclusion II does not follow. Few Triangles are Rectangles (I) β Conversion β Some Rectangles are Triangles (I) + All Triangles are Sphere (A) β Some Rectangles are Sphere (I). Hence conclusion III follows. Only a few Squares are Triangles β Some Squares are Triangles (I). Hence conclusion IV does not follow.
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