To answer that I will divide entrance exams into different categories:
CATEGORY 1: Mandatory
A) JEE MAIN and JEE ADVANCED- Online application has already started and last date is 2 January. The website URL is http://jeemain.nic.in
Examination Pattern: JEE-Main Exam has two papers, Paper-1 and Paper-2. Candidates may opt for either or both of them. Both papers contain multiple choice questions.
Also if your state is conducting seperate examination for engineering entrance, you must apply for them.
The other exams you can think of if you feel admission in above colleges will be a tough task for you you can apply in one or two of below mentioned examinations.
A)VITEEE- For admission in VIT. This year it will be in month of April and will be a computer based Test. The forms are already on their website.
B) SRMJEEE: Forms are already available.
C) MANIPAL University-Forms will be available soon
Well in case you want to know more about exams and forms do feel free to contact me through your comments on the blog.
ALL THE BEST!!!