Under the B.tech category in India of NIRF 2020, VIT Chennai is placed at 13th position whereas NIT Nagpur is spotted at number 27. VIT is popular for its B.tech CSE course unlike (V)NIT Nagpur which offers ECE as its flagship course.
BM at XLRI is one of the most demanded programs as the Institute is ranked 9th best business schools in India by NIRF 2020.
Admission
VIT Chennai:
VIT offers VITEEE for admission in the B.tech program.
Aspirants must have AIR below 5,000 in order to make it to VIT Chennai in the first round.
VIT offers 273 seats per branch of B.tech.
The annual tuition fee at VIT Chennai is 1.73 lakhs for B.tech courses.
NIT Nagpur:
Students must clear JEE mains in order to get admitted to NIT Nagpur.
Opening and closing rank for CSE, ECE, and ME are 2116-5361, 6151-8378, and 8296- 13454 respectively.
NIT Nagpur offers 946 seats in total across all branches.
The annual tuition fee for the B.tech course at NIT Nagpur is 1.3 lakhs.
XLRI:
XLRI conducts the Xavier Aptitude Test (XAT) followed by PI for selection.
95% is the cutoff for male candidates to join the BM program whereas 93% in the case of females for the same.
XLRI offers a two year PGDM(BM) course at the course fee of 2.9 lakhs per annum.
Focusing back on your question, B.tech+BM will consume your six years which you have to completely dedicate to your studies. Eventually, it will turn fruitful as you will end up in a high profile job post your PGDM(BM) from XLRI. XLRI even offers 100% placement assurance and 26 LPA, average CTC.
On the other hand, B.tech from NIT Nagpur is also a good option. The BAA job profile at ZS associates will demand you to perform Excel-workbooks, PowerPoints, Data research, analysis, execution, etc depending upon the clients you work with. Having work experience is no harm where you can be financially independent 2 years prior to your option-1. You can further go back to study PGDM at any top Institutes.
The deciding factor here lies in your passion and inclination either towards HR/ management or the core Engineering field. Decide what is best for you.