Shri G. S. Institute of Technology and Science

It is an unpredictable thing as it depends upon merit. You should work hard to get crack CSE in SGSITS with good percentage.

Hello Ram
With AIR of more than 4 lakhs, I don't think you will get admission in this college. Why obsession for engineering? I would advise you to go to career counselor and seek guidance.
I am however attaching link for information.
http://www.cutoff365.com/sgsits-indore-admission-cut-off/

Recruitment is good and brand value is okay.
You can check the below mentioned link:
https://www.shiksha.com/getListingDetail/29832/institute/college-Shri-Govindram-Seksaria-Institute-Of-Technology-And-Science-Sgsits-Indore-India

CSE in Jaypee, Noida is a better option. This college is good in terms of reputation and placements. It has a good name in engineering colleges among others. CSE have more scope than IT. So you can prefer CSE over IT.

yes there is a bit of chance

never because they are government
and govt clge have high rank

yes there is quit little chance for you.
all the best

Hi
You may refer to the following link
For college- https://www.shiksha.com/jee-mains-college-predictor

no never go for Private