Dear aspirant,

According to your question and taking into consideration that you want to know about whether you would get a government college or not if you write the cat exam.

I would like to tell you that if you have done your BTech then there are many options for government college.

The list is as follows-

1-IIT BOMBAY

2-IIT KHARAGPUR

3-NITIE(not a government college but it's very good college for supply chain)

4-IIT DELHI