Science

Of course, not. If there would have been any provision of sports quota in IITs then it would have been clearly stated.

Yes, you can get admission in AU but you need to get a good rank in AUCET exam.
Distance mode is not a criterion.

I tried to answer to the best of my capabilities:
Banking
Teaching
Army
Research
Grade A/B government jobs.
Good luck.

Yes, you can take NEET exam next year.

Yes, you can go for M.Sc in this college. You are eligible to do that so apply for the admission.
Good luck.

These are do or die chapters in mathematics. Limits, continuity & differentiability. Application of derivatives. Definite integration.
3-D geometry. Sequence & Series. Probability. Straight lines. Circles. Matrices. Complex numbers.

Kerala PSC requires only a degree approved by All India Council for Technical Education (AICTE). The type of degree (regular/part-time) doesn't matters unless its specified for a particular post by PSC. So, the courses offered by Kalasalingam Deemed University are AICTE approved, and hence a person with such a graduation can appear for PSC exam.
Good luck.

The placement for food technology in this college is good. They provide good placement. The average package goes to 10 lakhs per annum. So, you can get admission there.
Good luck!

You can only give an exam with 51.83% if you belong to the SC or ST category.