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      Question

      Statements : Some cities are villages. No

      village is a town. All towns are countries. Conclusions:I. Some towns being cities is a possibility. II. Some countries are not villages. III. Some countries are not towns. In each of the questions below are given three statements followed by three conclusions numbered I, II and III. 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 definitely does not follow logically from the given statements disregarding commonly known facts.
      A If only conclusion I does not follow. Correct Answer Incorrect Answer
      B If only conclusion II does not follow. Correct Answer Incorrect Answer
      C If only conclusion III does not follow. Correct Answer Incorrect Answer
      D If both conclusion I and II do not follow. Correct Answer Incorrect Answer
      E None of these Correct Answer Incorrect Answer

      Solution

      Some cities are villages(I) + No village is a town(E) ⇒ Some cities are not towns(O) ⇒ Probable conclusion ⇒ Some towns being cities is a possibility(I). Hence conclusion I follows. No village is a town(E) + All towns are countries(A) ⇒ Some countries are not villages(O*). Hence conclusion II follows. All towns are countries(A) ⇒ Conversion ⇒ Some countries are towns(I). Hence conclusion III does not follow. ALTERNATE SOLUTION: Minimal possibilities:

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