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      Question

      Statements- Some pens are sharpeners All

      sharpeners are erasers No eraser is ink Some inks are pencil Conclusions. I. Some pencil are not erasers. II. All pens being eraser is a possibility III.Some pencil are eraser In each question below there are four statements followed by three conclusions1, 2 and 3. You have to take the four given statements to be true even if they seem to be at variance with commonly known facts and then decide which of the given conclusions does not follow from the four given statements, disregarding commonly known facts.
      A Neither I nor III follows Correct Answer Incorrect Answer
      B Either I or III does not follow Correct Answer Incorrect Answer
      C Only III does not follow Correct Answer Incorrect Answer
      D None follows Correct Answer Incorrect Answer
      E None of these Correct Answer Incorrect Answer

      Solution

      No eraser is ink(E) + Some inks are pencil(I) ⇒ Some pencil are not erasers(I). Hence conclusion I follows but conclusion III does not follow. Some pens are sharpeners(I) + All sharpeners are erasers (A) ⇒ Some pens are erasers(I) ⇒ Probable Conclusion ⇒ All pens being eraser is a possibility(A). Hence conclusion II follows. Alternate Method:

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