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      Question

      Statements: At least some blue are red.

      Some black are pink. Every red is black. None pink is green. Conclusions: I. At least some blue are pink. II. Some black are not green. III. 10% red are green. In the question, assuming the given statements to be true, find out which of the following conclusion(s) among the given four conclusions is/are definitely true and then give your answer accordingly.
      A Only conclusion II follows. Correct Answer Incorrect Answer
      B Either conclusion I or II follows Correct Answer Incorrect Answer
      C Only conclusion III follows. Correct Answer Incorrect Answer
      D Both conclusion II and conclusion III follow. Correct Answer Incorrect Answer
      E None of the above Correct Answer Incorrect Answer

      Solution

      At least some blue are red (I) + Every red is black (A) → Some blue are black (I) + Some black are pink (I) → No conclusion. Hence conclusion I does not follow. Some black are pink (I) + None pink is green (E) → Some black are not green (O). Hence conclusion II follows. Every red is black (A) + Some black are pink (I) → No conclusion. Hence conclusion III does not follow.

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