I have an application which uses two methods of an API. Both these methods throw more than five exceptions each. So, if I just add a throws declaration then it becomes a list of more than ten. (My method cannot handle any of the ten exceptions)

I have read that throwing a long list of exceptions is a bad practice. Also throwing (the umbrella) Exception is a bad practice. So, what should I do?

1. Add a try catch block, and log and exit in the catch block? (Current approach)
2. Create a custom exception class, wrap every exception and throw the custom exception?
3. Add a throws declaration for all exceptions?
4. Throw Exception?