Conclusion I: The statement says that students will have the option of dropping Science and Mathematics, but it doesn't say anything about admitting students based on their weakness in these subjects. Hence, Conclusion I does not follow.
Conclusion II: The statement mentions that starting from next year, students will have the option to drop these subjects. This implies that previously, students did not have such an option. Thus, Conclusion II logically follows.
The correct answer is (B) : If only conclusion II follows.