Make it thematic somehow, both with the answer and the extraction method. (The former may not be possible if you're working it into some larger structure, but the latter still should be.) For both of them, bad puns are always great to use.
For instance, an MIT meta had you catching a "criminal mastermind", and the answers had you literally playing a game of Mastermind with the answers. Another one had you looking for a way to stop a gelatinous cube (from D&D) from reforming after you cut it into two smaller ones, and the answer was FERMAT'S LOST SERUM.