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:I. Some P are Q.II. No Q is R. Conclusions:I. No P is R.II. Some P are not R.III. Some Q are P.

Let's analyze using sets:"Some P are Q" implies an overlap between P and Q."No Q is R" implies Q and R are completely disjoint sets.Evaluating Conclusions:Conclusion I: "No P is R." This is not necessarily true because the part of P that is not in Q could potentially overlap with R. Hence, it does not follow.Conclusion II: "Some P are not R." This is true. The part of P that intersects with Q can never be R, because No Q is R. Thus, those specific elements of P are definitely not R.Conclusion III: "Some Q are P." This is true. Since some P are Q, it naturally implies that some Q are P.Therefore, both conclusions II and III follow.