The teams were awarded a point each after play failed to get underway.
India are scheduled to play Pakistan in their second Group D match at the same venue on Friday.
Pakistan, who thrashed Scotland by 51 runs in their first match, have a net runrate of +2.5 and are through to the next round.
For India to reach the Super Eight stage, they have to beat Pakistan, or lose by a small margin to have a better run-rate then Scotland (-2.5).
Scotland captain Ryan Watson had won the toss and elected to field in the Group D match.
Showers forced both teams to abandon their warm-ups and head indoors just an hour before the scheduled start. The covers were brought out but after a brief spell the rain stopped. The two skippers came out for the toss before rain intervened again.
Teams:
India: MS Dhoni [Images] (captain), V Sehwag, R Uthappa, G Gambhir, Yuvraj Singh [Images], D Karthik, Harbhajan Singh [Images], I Pathan, RP Singh, A Agarkar, S Sreesanth [Images].
Scotland: R Watson (captain), DF Watts, NS Poonia, GM Hamilton, NFI McCallum, DR Brown, CJO Smith, R Haq, CM Wright, JAR Blain, JD Nel.