ICICI Bank, State Bank of India and HDFC Bank shares, along with ITC and Larsen & Toubro, helped to lift the Sensex while auto stocks Mahindra & Mahindra and Hero MotoCorp dragged it lower.
Sesa Sterlite and BHEL topped the 25 gainers on the 30-share index. All 13 BSE sectoral indices advanced.
The S&P BSE Sensex opened stronger at 20,558.93 and soared to the day's high of 20,819.77. It ended at 20,791.93, registering a gain of 257.02 points or 1.25 per cent.
Over the past five sessions, the Sensex has added 574.54 points to clock its first gain after three successive weeks of declines. The index fell 373 points this month, after a record close of 21,239.36 on November 3.
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Domestic institutional investors bought Rs 330.51 crore of shares and foreign institutional investors purchased a net Rs 102.91 crore of stocks yesterday, according to provisional data with the stock exchanges.
The government was scheduled to release GDP growth data for the July-September quarter after trading hours.
Asian stocks ended mixed. Key indices in China, Hong Kong and Taiwan gained while they fell in Japan, Singapore and South Korea.