Jaipur

Taxila B-School is good for those students who can study 14 hours in a day, because class timings for the previous one year is from 9:00 A.M to midnight, if a student is reading for such a long hours, going for Research work, Case studies and live project at the same time of classroom studies. I strongly believe that such a candidate will be an asset for corporate. This is the reason why Taxila claims big about the placements.
Good luck.

Malviya National Institute of Technology is the best option after BITS-Pilani for doing B.Tech Computer Science and Engineering in Rajasthan. Admission is based on JEE Mains score.

All India ranking of Amity University, Noida and IIRM Jaipur is 40 and 78 as per Indian today 2016 ranking. Therefore, you may prefer Amity University over IIRM Jaipur for MBA.

Well, you should choose Amity if you are comparing with IRM (Jaipur). There are other better colleges too like Christ and PES in Bangalore. Anyway, you can go for Amity also.

Both are good. It depends on you in which field you are interested in. In kota, for NEET, allen is the best and for JEE, Vibrant, Bansal and Resonance are the best.
Best of luck.

For government university, you should go for IIT Mains and advance or any particular state exams in which you want to take admission.