Question

In each of the questions below are given three statements followed by three conclusions numbered 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 given conclusions logically follows from the givenstatements disregarding commonly known facts.

Statements:

No cube is a cuboid.

Some cuboids are cones.

All cones are quadrilateral.

Conclusion:

I. No cone is a cube.

II. All quadrilaterals may be cones.

III. Some cuboids are not quadrilaterals.

A Only III follows Correct Answer Incorrect Answer
B Only I and II follows Correct Answer Incorrect Answer
C Only I and III follows. Correct Answer Incorrect Answer
D None follows Correct Answer Incorrect Answer
E All follows Correct Answer Incorrect Answer

Solution

No cube is a cuboid(E) + Some cuboids are cones. (I) Some cones are not cubes (O*). Hence conclusion I does not follow. All cones are quadrilaterals. (A) [Probable conclusion] All quadrilaterals may be cones. (A). Hence conclusion II follows. Some cuboids are cones. (I) + All cones are quadrilaterals. (A) Some cuboids are quadrilaterals. (I). Hence conclusion III does not follow.

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