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      Question

      Read the given statements and conclusions carefully.

      Assuming that the information given in the statements is true, even if it app ear s to be at variance with commonly known facts, decide which of the given conclusions logically follow(s) from the statements. Statements: All apples are oranges. All oranges are pears. Some kiwis are pears. Conclusions: I. Some pears are apples. II. Some kiwis are oranges. III. All oranges are apples.
      A Only conclusion I follows Correct Answer Incorrect Answer
      B Only conclusions II and III follow Correct Answer Incorrect Answer
      C All the conclusions follow Correct Answer Incorrect Answer
      D Only conclusions I and III follow Correct Answer Incorrect Answer

      Solution

      All apples are oranges (A) + All oranges are pears (A) β†’ All apples are pears (A) β†’ Conversion β†’ Some pears are apples. (I). Hence conclusion I follows.
      Some kiwis are pears (I) + [All oranges are pears (A) β†’ Conversion] β†’ Some pears are oranges (I) β†’ No conclusion. Hence conclusion II does not follow.
      All apples are oranges (A) β†’ Conversion β†’ Some oranges are apples. (I). Hence conclusion III does not follow.

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