I asked you “Who said ‘I asked you that?’?” (Single quotes for quote within a quote. Two questions).
He wondered, “Should I ask her out?” (Question is in the quote).
Did she say “I hate you”? (Whole sentence is a question).
“What the hell?” she fumed angrily as she shouted, “You can’t tell me what to do.” First question needs ? in quotes. Period inside the quotation at the end to mark end of sentence.
- How to Punctuate Dialogue Properly (homework.answers.com)
- Asking a Question: Interrogative Sentences (english.answers.com)