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      Question

      Statements: No Pencil is a Sharpener. Only

      a few Sharpeners are Erasers. 98% of Erasers are Pens. 100% Pens are Boxes. Conclusions: I. Some Boxes are Pens is a possibility. II. Some Pens are Erasers is a possibility. III. All Sharpeners being Erasers is not a possibility. In the question below some statements are given statements followed by three conclusions 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 the given conclusion definitely follows from the given statements, disregarding commonly known facts.
      A Only Conclusion I follows Correct Answer Incorrect Answer
      B Only Conclusion II follows Correct Answer Incorrect Answer
      C Only Conclusion III follows Correct Answer Incorrect Answer
      D Both Conclusions I and II follow Correct Answer Incorrect Answer
      E Both Conclusions I and III follow Correct Answer Incorrect Answer

      Solution

      100% Pen are Boxes (A) β†’ Probable conclusion β†’ All Boxes are Pens (A). Hence conclusion I does not follow. 98% of Erasers are Pens (I) β†’ Conversion β†’ Some Pens are Erasers (I). Hence conclusion II does not follow. No Pencil is a Sharpener (E) + Only a few Sharpeners are Erasers (I) β†’ Some Erasers are not Pencils (O) β†’ Probable conclusion β†’ All Sharpeners may be Erasers (A). Hence conclusion III follows.

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