The part-time legspinner Tiwary (2/19) claimed two wickets including that of J&K top run getter Bandeep Singh (73; 8x4, 1x6) to bowl the visitors out for 315 in their first essay, giving Bengal a handy 72-run first innings lead.
The stylish Bengal batsman then decimated the J&K attack, scoring an unbeaten 52 off 37 deliveries (6x4) as they ended the day at 216 for three, a total lead of 288 runs.
Having already ensured three points on basis of their first innings lead, Bengal bowlers would hope that the dead looking Eden Gardens surface aid them on the last day to give them a chance to pocket six points with an outright win.
Bengal approached their second innings positively as the opening pair of Abhimanyu Easwaran (63) and Arindam Das (60) put on 126 runs together at a healthy 4.0 run rate.
But after that Tiwary stitched an unbroken 36 runs with first innings centurion Wriddhiman Saha (8 batting) as the duo ensured that Bengal scored at 4.90 runs per over so as to give them an ideal score to defend in the J&K second innings.