Are there any management seats? I have not written any competitive exams.

You want to qualify from any one of the exams listed, CAT,MAT,CMAT,GMAT,XMAT. No Management seats in VIT University. Here the students are qualified through written test and Group Discussion. For any details log in to http://bschool.vit.ac.in/process.php

Dileesh i would suggest you to please look into the entrance exams for MBA. There are hardly any colleges which provide admissions without entrance exams. And there is nothing to worry as there are still few exams to be held in the upcoming months of March and April. Good luck.