Question

    In the question below are given some statements followed by some conclusions. You have to take the given statements to be true even if they seem to be in variance with commonly known facts. Read all the conclusions and then decide which of the given conclusions logically follows from the given statements disregarding commonly known facts.

    Statements:

    Some cubes are cuboids.

    Only few cuboids are squares.

    No square is a circle.

    All circles are triangles.

    Conclusions:

    I. Some cuboids are not triangles.

    II. Some triangles being squares is a possibility.

    III. Some circles are cubes

    A Only conclusion II follows. Correct Answer Incorrect Answer
    B Both conclusion I and II follow. Correct Answer Incorrect Answer
    C Only conclusion III follows. Correct Answer Incorrect Answer
    D Both conclusion II and III follow. Correct Answer Incorrect Answer
    E None of the above. Correct Answer Incorrect Answer

    Solution

    Some cuboids are squares (I) + No square is a circle (E) → Some cuboids are not Circles (O) + All circles are triangles (A) → No conclusion. Hence conclusion I does not follow. No square is a circle (E) + All circles are triangles (A) → Some triangles are not squares (O*) → Probable conclusion → Some triangles may be squares (I). Hence conclusion II follows. Some cubes are cuboids (I) + Some cuboids are squares (I) → No conclusion. Hence conclusion III does not follow.

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