Hello Nipun,

Galgotias University is fully government recognized and approved by the state government but the university is recognized by university grant commission, on the other hand Galogotias college is recognized and approved by AICTE(ALL INDIA COUNCIL OF TECHNICAL EDUCATION).
Instead of Galgotias University you should have mentioned Galgotias College because it comes under UPTU. Now coming to your answer yes you can get galgotias college with a rank around 20k. 

Firstly, Galgotias University is in Greater Noida not in Ghaziabad. You don't need UPSEE rank for Galgotias University. You should apply for Galgotias exam for admission in university. With 20k rank in UPSEE, you can try for IMS, ITS, RKGIT, NIET, GNIOT, ABES