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Regular B.Tech is superior to AMIE because of its wider acceptance in job market in India and abroad.

Dear Udit,
Yes, one can pursue regular college alongside professional course but before to that, check for permission from the ICSI. Secondly, my recommendation is to go for regular college only if you are getting admission among one of the best colleges. Else, opt for correspondence graduation and concentrate on CS.
All the very best.

Have a look at the PGDM programme to gain insights on the 2 year full time course.
Link: https://www.spjimr.org/pgdm

Regular education is superior to education by distance learning or correspondence, therefore, your decision to continue further education from a regular college is correct.

Top colleges list includes all the old IIMs, FMS, MDI-Gurgaon, XLRI- Jamshedpur, SP Jain, Jamnalal Bajaj, etc. If you are from an engineering background then NITIE-Mumbai, IIT-Delhi and IIT-Mumbai are also good.

Dates are not declared yet. By February onwards, you can expect for PGDM. For MMS, admissions happen through DTE on MHCET score basis after results are out. Please keep on checking the websites for further information. Good luck!

Yes, it is quite possible currently as per the system, you can surely pursue both the courses at the same time in the manner stated.