General Design and Development Question 5

Which of the following statements is true?

Every problem can be solved with an algorithm for all possible inputs, in a reasonable amount of time, using a modern computer.

Every problem can be solved with an algorithm for all possible inputs, but some will take more than 100 years, even with the fastest possible computer.

Every problem can be solved with an algorithm for all possible inputs, but some of these algorithms have not been discovered yet.

There exist problems that no algorithm will ever be able to solve for all possible inputs.