Engineering Entrance Exam

The exact date is still not out but the application deadline is April 2017.
For further details, you can check the below mentioned link:
http://www.99admissions.in/nchmct-jee-2017/

Lots of Public Sector Units (PSU) use GATE score to shortlist candidates for Graduate Engineer/ Management trainees selections. If you are planning to look for job in PSUs,you may appear for GATE exam.

JEE Mains is a national level exam and GUJCET is state level exam, meant for Gujarat. Both are engineering entrance exams and will be conducted in Gujarat.

Yes, candidates of OBC, SC, and ST category can avail the reservation quota in JEE Mains entrance exam.

Can I get the details of your academic performance?

JEE Mains is an all India entrance exam, so it is going to be tough. If you have to score high, you have to be good in physics. Chemistry consists of similar reaction, so it helps to score high. You need to be good in mathematics to score or crack the logic.
To prepare for JEE Mains, you must solve at least 50 MCQs per day per subject. Time management is the most important thing for any competitive exam. Usage of the shortcut is required to save time and score high.
In mathematics, don't prepare half section. You should study every section completely and then move on to the next section.

I think Allen is the best coaching institute for the preparation of JEE Mains and Advanced exam.

According to me, it is from CET but I will suggest you to prepare for JEE because the news is that CET is going to be cancelled for all engineering and medical students. If you will prepare for JEE and then there will be CET, it will not be difficult for you because JEE has little higher level then CET.
All the best.

Syllabus of both EAMCET and BITSAT is similar to JEE Mains.