The correct answer is: Only conclusion II follows.
The statement says that players who break various records in a fair way get special prizes. The conclusion I says that X will get the special prize. However, the statement does not say anything about whether X broke the world record in a fair way. In fact, the statement says that X was found to be under the influence of a prohibited drug, which suggests that X may not have broken the world record in a fair way. Therefore, conclusion I does not follow.
The conclusion II says that X will not get the special prize. This conclusion is supported by the statement, which says that players who break various records in a fair way get special prizes. Since X was found to be under the influence of a prohibited drug, it is likely that X did not break the world record in a fair way. Therefore, X will not get the special prize.
The other options are incorrect because they either do not follow from the statement or are both supported by the statement. Option A says that only conclusion I follows. This option is incorrect because conclusion I does not follow from the statement. Option B says that only conclusion II follows. This option is correct. Option C says that either I or II follows. This option is incorrect because only conclusion II follows from the statement. Option D says that neither I nor II follows. This option is incorrect because conclusion II follows from the statement.