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: Some rock-stars are producers. All producers are designers. All workers are producers. Conclusions:I. Some rock-stars are designers.II. All workers are designers.III. No worker is a rock-star.

Let's evaluate the conclusions using Venn diagrams: Conclusion I: "Some rock-stars are designers."Since "Some rock-stars are producers" and "All producers are designers," the portion of rock-stars that are producers will definitely be designers. Thus, Conclusion I follows.Conclusion II: "All workers are designers."Since "All workers are producers" and "All producers are designers," it logically follows that all workers are designers. Thus, Conclusion II follows.Conclusion III: "No worker is a rock-star."There is no statement indicating a negative relationship between workers and rock-stars. They can overlap. Thus, Conclusion III does not follow.Therefore, both conclusions I and II follow.