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Given below are two statements and two conclusions.
$\text { Statement 1: All purple are green.}$
$\text { Statement 2: All black are green.}$
$\text { Conclusion I: Some black are purple.}$
$\text { Conclusion II: No black is purple.}$

Based on the above statements and conclusions, which one of the following options is logically CORRECT?

  1. Only conclusion I is correct.
  2. Only conclusion II is correct.
  3. Either conclusion I or II is correct.
  4. Both conclusion I and II are correct.

     

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