IT, metal and power stocks pushed higher.
The Sensex started on a high note before trading at 32,131.92 at 1100 hours, up 111.17 points, or 0.34 per cent.
The NSE 50-share Nifty hit 9,920.30 at 1100 hours, up 33.95 points, or 0.34 per cent.
Wipro hit it big by 3.56 per cent. Adani Ports, ICICI Bank and Infosys followed.
Asian stocks rose after the Dow and S&P 500 had brought up record highs last Friday on bets that the Federal Reserve's accommodative monetary policy would continue following lacklustre US data.
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