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Rank upto 9000 will land you with CSE in VIT, Vellore and upto 12,000 in VIT Chennai in first category. Otherwise you can pay more and get in 2nd category. You should get a score approximately 90 marks to definitely get CSE branch at VIT Vellore.

Your 12th mars are good enough for getting admission in B.Sc. (Hons. ). Mathematics subjected to the clearance of PU-CET (UG). The 75% of weightage is given to PUCET while 25% to 12th marks. Hence PUCET contributes here a lot in admission. So plan accordingly.

Yes, you should apply online. The minimum eligibility criteria are 50% aggregate, so rank yourself accordingly. Best of luck. For more details please visit-https://www.iimidr.ac.in/.

Other suggestions are for students not interested in Accounts are :-
LLB
BBA
CS
CFP.

Candidates securing a rank between 7500- 27500 will be eligible for admissions in Vellore campus. The closing rank for Computer Science and Engineering (with Bioinformatics as specialisation) went up till 7500 while for Computer Science and Engineering, it went up till 15000. it's highly impossible for your rank in vit.

You seems to have scored good marks. But by this time you should have clarity about your future. If you are interested in technical field then you can opt for engineering. Of your choice. You can also prepare for jJEE examination. If you are good in chemistry then you may select paramedical course. But the course selection depends on your interest. Also consult your parents and well wishers like elders in the family, close friends.

Yes, if and only if required certificates are given during verification.

Keeping the last year of trends in consideration, yours chances for ECE are moderate. However you can get EEE, Metallurgical, Production and Textile Engineering branches.