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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 appears to be at variance with commonly known facts, decide which of the given conclusions logically follow(s) from the statements. Statements: All Hills are Mountains. Some Road are Rivers. No Hill is River. Conclusion: I. No Mountain is River. II. No Hill is Road. III. Some Mountains are Hills.
      A Only conclusion III follows. Correct Answer Incorrect Answer
      B Only conclusions I and II follow. Correct Answer Incorrect Answer
      C Only conclusions II and III follow. Correct Answer Incorrect Answer
      D All the conclusions follow Correct Answer Incorrect Answer

      Solution

      All Hills are Mountains (A) → Conversion → Some Mountains are Hills (I) + No Hill is River (E) → Some Mountains are not Rivers (O). Hence conclusion I does not follow. No Hill is River (E) + Some Rivers are Road (I) → Some Road are not Hills (O*). Hence conclusion II does not follow. All Hills are Mountains (A) → Conversion → Some Mountains are Hills (I). Hence conclusion III follows.

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