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      Question

      Statements:All circles are rectangles. No

      rectangle is a square. Conclusions:I. No square is a rectangle. II. Some rectangles are circles. III. Some circles are squares. In each of the questions below are given two 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 Only I follows Correct Answer Incorrect Answer
      B Only II follows Correct Answer Incorrect Answer
      C Only I and II follows Correct Answer Incorrect Answer
      D Only I and III follows Correct Answer Incorrect Answer
      E None of these Correct Answer Incorrect Answer

      Solution

      No rectangle is a square (E) ⇒ conversion ⇒ No square is a rectangle (E). Hence, conclusion I will follow. All circles are rectangles (A) ⇒ conversion ⇒ Some rectangles are circles (I). Hence, conclusion II will also follow. A + E = E and I type conclusion cannot be drawn from E type proposition. Hence, conclusion III will not follow.

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