>I really need a quick answer without having to ponder about any concepts.
On the contrary, it's quite clear that you DO need to ponder about the concepts, because if you understood this stuff properly you would not be asking others to answer such a simple question for you in the first place.
The answer is, of course, 3. I mean, the question basically already said it: 'The program has 200 integers', so clearly the array is going to have how many numbers? 200 of them.
That said, with all due respect, I highly recommend you start paying attention to the material and getting an understanding of basic program logic if you want to pass that course. Remember, we will not be there for you on the final exam!
If you want some info to get you started, try here:
http://www.thegeekstuff.com/2011/12/c-arrays/
http://en.wikipedia.org/wiki/Array_data_structure
http://www.exforsys.com/tutorials/c-language/c-arrays.html
Of course, if all the integers are in the range 0 to 50, you could have a more efficient solution by using an array of 200 chars, which would use the equivalent memory of only 50 ints. I don't expect you to understand that, but if you can get your act together now, someday you will. :)