Exam

Not at all, the JEE Main exam is only the first step of the BTech admission process at the IITs; you then need to give the JEE Advanced exam as per your JEE Main cutoff percentile. After the entrance exam results are out, you also may have to give the GD or PI rounds for final seat allotment.
It is always better to go to the official college websites and read the detailed information about their BTech admission process. 

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BTech Courses

The competitiveness depends on the exam that you're planning to give, but they are usually considered challenging and difficult to crack. For national-level exams like JEE Main and JEE Advanced, there is cutthroat competition for seats.
Further, there are state-level exams like MHT CET, KCET, Andhra Pradesh EAMCET, etc., and college-level exams like SRMJEEE, BITSAT, LPU NEST, etc., which also witness a great number of applications every year and are not a cakewalk at all. You need to prepare really well to score well and grab a seat at a decent college.

Students need to obtain a competitive rank in JEE Main and JEE Advanced so that they can become eligible for admission procedures at IIT Bhubaneswar. Candidates are required to achieve a cut-off rank, as decided by the course. For instance, the cut-off rank needed for BTech Civil Engineering was 14,782, whereas for Computer Science and Engineering (CSE) it was approximately 3,685. Interested candidates can refer to the table below for information on cutoffs from previous years.

Yes Indian students need to submit IELTS score to apply for MBA in Russia. The min scores required by some top universities are mentioned in table below-