from my understanding, if you are in a 141 environment there are some things you have to disclose and others that you do not.
Disclose the info about a failed check ride if the that particular ride will be for the issuance of an FAA cert. PPL, Comm, CFI etc.
You do not have to disclose a failure if you do not get a cert. from it. An example would be a check ride that needs to be completed to start a new block of training in a course.
at UND a particular course might have 3 checkrides but only one will get you an FAA cert. and that is the one you dont want to fail.
Exx
P.S. Go Sioux