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The 30-share index swung nearly 633 points during the session, before ending at 50,296.89, showing a rise of 447.05 points or 0.90 per cent.
Likewise, the NSE Nifty climbed 157.55 points or 1.07 per cent to settle at 14,919.10.
On the Sensex chart, M&M, NTPC, Bajaj Auto, Tech Mahindra, TCS and Maruti emerged as top gainers.
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Of the Sensex constituents, 25 shares ended with gains.
Analysts said investor sentiment remained upbeat due to encouraging GDP numbers for the third quarter as well as returning of calmness in global bond markets after the last week’s turmoil.
Elsewhere in Asia, bourses closed with significant gains for the second straight session after halt in sell-offs in global bond markets calmed investor sentiments.
Meanwhile, Brent Futures rose 0.71 per cent to trade at 63.76 per barrel.
On the forex market front, the rupee surged by 18 paise to close at 73.37 against the US dollar on Tuesday.