Besides, covering-up of short positions by speculators ahead of monthly expiry in the derivatives segment, supported the rally.
The 30-share barometer regained the psychological 27,000-mark for the first time since September 23 by surging 150.26 points, or 0.56 per cent, to 27,031.08 with all the sectoral indices, led by auto, realty and oil & gas, trading in positive zone with gains up to 0.97 per cent.
Also, the National Stock Exchange index Nifty gained 38.80 points, or 0.48 per cent, to 8,066.40.
Brokers said besides sustained buying by investors on hopes of further reforms and encouraging earnings by some more bluechip companies, covering-up of short positions by speculators in view of tomorrow's monthly expiry in the derivatives segment, influenced the trading sentiment.
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In addition, a firming trend at other Asian markets following overnight gains in the US, accelerated buying activity on the domestic bourses here, they said.
Among other Asian markets, Japan's Nikkei rose 1.38 per cent, while Hong Kong's Hang Seng was trading 0.87 per cent higher in early trade.