The first few rejections I got were from ridiculous reach schools that I knew I'd never get into anyway (I think Brown was the first). I just kind of went "meh."
When I got the rejection from one of the schools I really, really, really wanted to go to, I definitely cried. Subsequent rejections had even more crying because the panic of not getting in anywhere was starting to set in. I probably sat under a table or something because that's what I do when I get stressed.