Shakib top-scored with an 80, while Hridoy scored a gutsy 54 to rescue Bangladesh from a tricky position.
Bangladesh were 59/4 at one stage.
For India, Shardul Thakur has picked three wickets, while Mohammed Shami, bagged two wickets.
Virat Kohli was rested for the dead-rubber as India made five changes.
India won the toss and opted to field.