IIT

If your category rank (OBC Rank) is 3032, then the IITs available to you are:-
1] IIT Dhanbad - Geophysics (5 Y)
2] IIT BHU - Bio (5 Y)
3] IIT Kharagpur - Applied Geology (5 Y)
Unless you need the IIT Tag to flaunt in front of your relatives and unless you have some specific interest in these fields or

Your chances of getting IITs under the asked category are very low. The total number of seats in IITs in B.Tech courses are about 16234, and as per reservation, 2435 seats are reserved for asked category. So your rank should be below 2435.

Yes, you can get Biotech, chemical or textile like branches at new IITs like IIT Jammu, IIT Ropar, IIT Gandhinagar or IIT Bhubaneswar.

IIT (ISM) Dhanbad is a well established institution and it is far better than the new IITs. Placement records are quite well and the most important of all is that you will get good alumni base for being in an older institution. So, I recommend IIT (ISM) Dhanbad in comparison to the new IITs. That's

Yes, more chances to IIT and NIT is fixed.

No, a candidate must have done something in Maths background to get admission for M.Sc. Maths course.

CAT selection is based upon profile so if you have a good profile (certification courses, work experience, academic achievements, you will definitely get a call from good colleges including Iims and IITs). 10th and 12th marks are also major contributing factors to these calls.

The National Testing Agency NTA conducts the Joint Entrance Examination JEE Main to shortlist candidates for the JEE Advanced for admission to the Indian Institutes of Technology (IITs). Candidates must have passed or appeared in Class 12th or its equivalent from any recognised board to be eligible

3466 rank with 90 percentile? Is it a general rank or any category? Please specify then only I will be able to give you a more correct answer.