The sentence that uses negative words correctly is option A. No one signed up for any of those courses. The rest of the sentence in the choices did not properly used the negative words such as option C. It should be "she's never eaten anything" because the word "never" which is negative is already present. A double negative does not make any sense in a sentence.
B. Reckless
He made a reckless decision by choosing to be rich. He lost his son in the process and when he wanted to bring him back his son was already gone and dead so there was no bringing him back.