Answer:
The correct answer is 'I felt I must scream or die!'
Explanation:
Necessity refers to something you absolutely need to do because it is necessary, like the word itself states. This can be felt in the option above - it was absolutely necessary for the character to start screaming; otherwise, he would die. The auxiliary verb must shows this emotion clearly, whereas would or could do not show the same urgency.
This sort of need to do something isn't felt in the other options.
