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      Question

      Statements: All pens are pencils. Some

      penicls are erasers. Some erasers are sharpner. Conclusions: I. Some sharpners are pencils. II. Some pens are sharpner. III. Some erasers are pens. IV. All pencils are pens. In each question below some statements followed by four conclusions numbered I, II, III and IV are given. You have to take the three 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 logically follows from the two given statements, disregarding commonly known facts.
      A Only II follows Correct Answer Incorrect Answer
      B Only III and IV follow Correct Answer Incorrect Answer
      C All follow Correct Answer Incorrect Answer
      D Only II and III follow Correct Answer Incorrect Answer
      E None follows Correct Answer Incorrect Answer

      Solution

      Some pencils are earsers (I) + Some erasers are sharpner ⇒ No conclusion. Hence conclusion I does not follow. All pens are pencils (A) + Some pencils are erasers (I) ⇒ No conclusion. Hence conclusion II and III do not follow. All pens are pencils (A) ⇒ Conversion ⇒Some pencils are pens (I). Hence conclusion IV does not follow.

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