Reuters Market Eye - The BSE Sensex is up 0.3 percent, while the Nifty gains 0.2 percent. The broader index gained 0.63 percent to a record high of 8,415.05.
The benchmark rose as much as 0.78 percent to an all-time high of 28,126.48.
Rate-sensitive stocks continue to lead. Housing Development Finance Corp up 1.6 percent, while ICICI Bank gains 1 percent.
Bajaj Auto Ltd is up 2.4 percent and Hero MotoCorp gains 1.1 percent.
October retail inflation data, due after market hours, is key ahead of the RBI's rate decision on Dec. 2.
CPI is expected to slow to a record 5.8 percent in October, says a Reuters poll.
However, RBI Executive Director Deepak Mohanty was quoted by local media on Tuesday as saying inflation expectations were "high".
(Reporting by Abhishek Vishnoi)