Cheteshwar Pujara (3) and Manoj Tiwary (0) were at the crease when heavens opened up at the Shere Bangla National Stadium.
Indian skipper Suresh Raina had won the toss and elected to bat first.
India have already taken an unassailable 2-0 lead after humbling the hosts by 47 runs via D/L method in the rain-truncated second ODI.