Hey,
Dont mean to be rude but how old are you?
Most cadet schemes now only have a lower age limit, and if there is an upper age limit it is around 55 yrs old. Having sat the Virgin interview at CTC most of the candidates on my day were late teens and early 20's, on the Easyjet day they were considerably older. I found the Easy jet assessment much better than the Virgin one as I had more in common with the people on it. Most were married and had mortgages etc, as opposed to uni debt.
For me I'm closer to 40 than i am 35, and age was never mentioned in any of the interviews. In fact both interviewers were interested in my past and experiences, don't count yourself out of the running quite just yet.
Go for it, what have you got to loose. Even if offered a job you can still say no.