Question

    Statements : No triangle is a square. Some

    squares are rectangles. All rectangles are circles. Conclusions : I. Some circles are rectangles. II. Some rectangles are not triangles. III. All squares being circle is a possibility. 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 given statements disregarding commonly known facts.
    A None follows Correct Answer Incorrect Answer
    B Only I and II follow Correct Answer Incorrect Answer
    C Only II and III follow Correct Answer Incorrect Answer
    D Only I and III follow Correct Answer Incorrect Answer
    E All follow Correct Answer Incorrect Answer

    Solution

    All rectangles are circles (A)⇒ Conversion ⇒ Some circles are rectangles (I). Hence, conclusion I follows. No triangle is a square(E) + Some squares are rectangles(I) ⇒ Some rectangles are not triangles(O*). Hence, conclusion II follows. Some squares are rectangles(I) + All rectangles are circles(A) ⇒ Some squares are circles(I) )⇒ Probable conclusion ⇒ All squares may be circles(A). Hence, conclusion III follows.

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