See both colleges are good . What i see is that bmsit is slightly better than in bit. Consider th placements in mechanical , 90% got placedin good companies . Also PSU came and took different students at ahigh package of 18 lpa. Also the campus is large, infrastructure is well balanced. The faculties are very helpful in nature. Considering BIT if it was it then i would have sugested to go for bit. But mechanical is bettr in bmsit.

All the best.

Thank you