The correct answer is: Only conclusion II follows.
The first statement is in the form of “All A are B”. The second statement is in the form of “All B are C”. The conclusion “All C are A” is called the converse of the first statement, and the conclusion “All A are C” is called the inverse of the first statement. The converse and inverse of a statement are not necessarily true, even if the original statement is true.
In this case, the first statement is “All good athletes win”. The second statement is “All good athletes eat well”. The converse of the first statement is “All winners are good athletes”. The inverse of the first statement is “All good athletes are winners”.
The converse of the first statement is not necessarily true, because there may be winners who are not good athletes. For example, a person might win a race by cheating. The inverse of the first statement is also not necessarily true, because there may be good athletes who do not win. For example, a person might be a good athlete but get injured before a race.
Therefore, the only conclusion that follows from the given statements is conclusion II: “All those who win eat well”. This is because all good athletes eat well, and all winners are good athletes. However, it does not follow that all those who eat well are good athletes, or that all good athletes win.