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      Question

      Statements: No red is white. All white are

      orange. Some Orange are blue. Conclusions: I. No red is blue. II. No orange is red. III. All orange being white is a possibility. IV. At least some blue are red. In each question below are given some statements followed by some conclusions numbered I, II, III and IV are given. You have to take the 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 given statements, disregarding commonly known facts.
      A Either I or IV and II follow Correct Answer Incorrect Answer
      B Either I or IV and III follow Correct Answer Incorrect Answer
      C Either I or IV Correct Answer Incorrect Answer
      D Either I or IV and II and III follow Correct Answer Incorrect Answer
      E None of the above Correct Answer Incorrect Answer

      Solution

      No red is white(E) + All white are orange ⇒ Some oranges are not red(O*). Hence conclusion I, II and IV do not follow but conclusion I and IV will form a complementary pair. Hence either conclusion I or IV follow. All white are orange(A) ⇒ Conversion ⇒ Some orange are white(I) ⇒ Probable conclusion ⇒ All orange being white is a possibility(A). Hence conclusion III follow. ALTERNATE SOLUTION: Relevant Possibilities

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