Exam

You can check all admission related details here https://www.shiksha.com/university/burdwan-university-bardhaman-23065/admission.

No, there is no such entrance exam. Refer to the link below:
https://www.icsi.edu/media/webmodules/aboutus/courses/CS_Course_01042014.htm.

Education qualification for NDA exam is that candidate have to qualify class 12th with PCM (Physics, Chemistry, Mathematics). Minimum Height of candidate should be 157 cm for Navy as well as Army. For Air force, Minimum Height required is 163 cm.

Check out the links below for the list of probable colleges you can get:
https://www.shiksha.com/b-tech/resources/jee-main-rank-predictor
https://www.shiksha.com/b-tech/resources/jee-mains-college-predictor.

No, there is not . The selection of those applied for the course, will be done on merit basis and online counseling process after that. Students with highest scores are shortlisted for admission to TNAU.

It is indeed very nice to see that you are interested in doing your Bachelor of engineering and due to this you have already appeared for the entrance exam called EAMCET. However, you have not mentioned whether to ask for the state of Andhra Pradesh or for the state of Telangana. I am attaching a link to predict college for you for the state of Andhra Pradesh if you want for Telangana just requested in the comments column and I will attach that also. https://www.shiksha.com/b-tech/resources/ap-eamcet-college-predictor
Best wishes to you.

Hello Abhishek, I am attaching a link that will predict college for you based on your rank in EAMCET. Actually there are two rank predictors, one for Andhra Pradesh and other for TS. I am attaching one for TS. If you are from Andhra Pradesh let me know, I will give you link for that also. https://www.shiksha.com/b-tech/resources/ts-eamcet-college-predictor
Best wishes to you.

You are disqualified in EAMCET, as your marks are only 35. It doesn't meet the cut off marks. So, you won't get seat in any college. All the best for your future.