Question
Statements: No triangle is a cuboid. Some
cuboids are pentagons. All hexagons are cuboids. Conclusions: I. At least some pentagons are triangles. II. No hexagon is a cuboid. III. Some pentagons are cuboids. In each question below are given three statements followed by three conclusions numbered I, II and II. You have to take the three given statements to be true even if they seem to be at variance with commonly known facts and then decide which of the given conclusions logically follows from the two given statements, disregarding commonly known facts.Solution
No triangle is a cuboid(E) + Some cuboids are pentagons(I) ⇒ Some pentagons are not triangles(O*). Hence conclusion I does not follow. All hexagons are cuboids(A) ⇒ I.I ⇒ Some hexagons are cuboids(I). Hence conclusion II does not follow. Some cuboids are pentagons(I) ⇒ Conversion ⇒ Some pentagons are cuboids(I). Hence conclusion III follows.
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