Good universities meant, the kids of ruling party must be admitted to have good/better careers in apparatus than their parents. This is the main card drawn against people. Some universities had big problem with that like the one who prepared surveillance and contra-surveillance officers, so they switched to admitting only people with no high ranking parents ties back in 80's. As the kids from high ranking officer families were really well known. I also believe there was a lot of ethnicity, and living place (soviet republic you are coming from may shut down the doors into university) discrimination in admission process.