The correct answer is: A. gave
To “float an idea” means to introduce it for consideration, without necessarily committing to it yourself. It is often used in a business context, when someone is trying to get feedback on a new idea.
The other options are not as accurate. To “present an idea” means to give a formal presentation about it, which is not what the minister did in this case. To “advise” someone means to give them advice, which is also not what the minister did. To “offer” someone something means to make it available to them, which is also not what the minister did.
In the meeting, the minister introduced a couple of new ideas for consideration. He did not give a formal presentation about them, nor did he offer them to anyone. He simply floated them, to see what people thought.