Here’s a detailed comparison of VNIT Nagpur CSE and NITK Surathkal IT (often the two are compared as CSE vs IT, since both are in-demand IT branches at top NITs)

When taking into account all of the important aspects, including professors, internships, placements, reputation, and housing, NITK Surathkal IT is widely regarded as a superior option to VNIT Nagpur CSE.

Here’s a clear analysis and comparison of your options for becoming a software engineer after BSc Math:

If you have a BSc in math and wish to work as a software engineer, the MCA is usually the easiest and most efficient route. Additional benefits might be available if you can obtain a BTech lateral entry in computer science from a reputable institution, although this is less usual and more restrictive. Choose between specialised IT skills and a more general engineering background, taking into account your access to lateral entry alternatives.

You must first take the National Institute of Technology MCA Common Entrance Test (NIMCET), the national entrance exam for MCA admissions at NITs, in order to be admitted to the MCA programme at NITK Surathkal.
In order to register for the MCA programme at NIT Surathkal, you must first register for NIMCET rather than using the NITK Surathkal website for the admission exam.

NIMCET Registration Link:

https://nimcet.admissions.nic.in/

Following your NIMCET qualifying, you can choose NITK Surathkal as your chosen MCA admissions institution during the counselling process.

Admission in MCA

Since you are not particularly interested in any one branch, you should consider things like the institute's reputation, placement history, alumni network, and branch flexibility while choosing an engineering programme.

Preference Order Analysis

Prefer the branches and institutes with the best placement records and industry demand if you are not particularly interested in any of them.  This strategy will help your post-graduation professional prospects.