TAPMI is the obvious choice from the two colleges because of the following reasons.
Reputation:
TAPMI is a well-established college with a good reputation, experienced faculty, rich alumni, and better placements. Whereas NMIMS Bangalore is a relatively new college mentored by the NMIMS brand.
Placements:
Infrastructure:
TAPMI offers great infrastructure. The finance lab is one of the best in the country. It is powered by 16 Bloomberg terminals and 7 Thomson Reuters terminals. Even many old IIMs do not have these facilities.
TAPMI offers admission through CAT whereas NMIMS Bangalore conducts NMAT for admission, so it is evident that you will be among better peers at TAPMI. Despite the locational disadvantage, TAPMI will be the best choice out of the two.