The 30-share Sensex ended 53 points higher at 28,439 and the 50-share Nifty closed 18 points higher at 8,494.
US stocks rose more than 1% on Tuesday, with the S&P 500 coming less than 2% below its record peak set last month.
Several Sensex stocks hits 52-week low in intra-day trade on Monday with financials leading the decline.
Sensex witnessed the biggest single day gain since May 2009 in absolute terms.
Roadshows will be held in Singapore, Hong Kong, London, New York and Boston, NTPC gained close to 1%.
The 30-share Sensex lost 12 points to end at 29,559 and the 50-share Nifty climbed 4 points to close at 8,914.
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Shedding its gains from Monday, NIkkei has declined around 0.7% while Hang Seng and Shanghai Composite were trading marginally lower.
The 30-share Sensex ended down 35 points at 26,349 and the 50-share Nifty ended down 20 points at 7,864.
From mass layoffs to acquisitions, here's how the Indian start-up industry kept us on our toes.
The industry employs about 10 million workforce.
The New Year, like 2014, will see brisk hiring. But, specialisation and strong domain skills will decide who gets hired.
'Biometric Aadhaar-based surveillance is not only about violation of privacy, but also about the treasure hunt for unprecedented financial surveillance and economic intelligence in the economic history of mankind,' asks Gopal Krishna.
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