The statement suggests that solving a problem is the best way to escape from it, which aligns with Conclusion II: "To escape from problems, you should always have some solutions with you."
Conclusion I ("Your life will be dull if you don't face a problem") does not directly follow from the statement, as it doesn't address the nature of life without problems. Therefore, only Conclusion II follows.
So, the correct option is (B): If only conclusion II follows