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      Question

      Statement :   All balls are pencils.

      >All keys are balls.   Conclusion: I. At least some pencils are keys. II. All pencils are balls. In this question, two statements followed by two conclusions numbered I and II have been given. 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 conclusion I follows. Correct Answer Incorrect Answer
      B Only conclusion II follows. Correct Answer Incorrect Answer
      C Either conclusion I or II follow. Correct Answer Incorrect Answer
      D Neither conclusion I nor II follow. Correct Answer Incorrect Answer
      E Both conclusion I and II follow. Correct Answer Incorrect Answer

      Solution

      All keys are balls (A) + All balls are pencils (A) → All keys are pencils (A) ) → Conversion → Some pencils are keys (I). Hence conclusion I follows. All balls are pencils (A) → Conversion → Some pencils are balls (I). Hence conclusion II does not follows.

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