Random restart technique definition
Welcome to the Computer Science Stack Exchange.
We have two subjects in search algorithms: Exploration and Exploitation. Now, Random Restart increases Exploration in your search.
There is no guarantee that random restarts help you to find better solutions. But it will give you this chance to search the space solution better.
So, The answer to your question is that random restart doesn't necessarily help us get unstuck. According to the above facts, (a) is wrong. Between the other choices, I pick the last one (d). I think random restart doesn't belong to informed and uninformed search.