Colleges in Telangana

its slightly difficult to get mechanical
but u can try other branches like EIE or civil
all the best

No, this college's intake is only through merit basis over JEE & SAT. This college has brightest minds of India, so you need to qualify JEE Mains. Else, you need to score above 2000/2400 in SAT. As you said I think, you did not qualify for JEE Mains, then you are not eligible to get admission in this college through management quota.

Yes, you can apply for Acharya N.G. Ranga Agricultural University for B.Tech in Food Science & Technology through TS EAMCET.

If you are interested in science then only take it. Don't force yourself to any stream. Do as per your choice and interests as your future depends on it. At times, people take science stream as all others are taking the same. This ruins their interest after some time.
Science will prove to be a bit difficult for you as your class 10th percentage is low.
Explore yourself and take the right decision.
All the best for the future.

Yes, you are eligible for various private colleges with this MAT score. You should opt for Sri Balaji Society College or ISBS Pune.