Investor sentiments remained upbeat tracking global developments as the US, China geared up for trade talks due this week.
The BSE Sensex zoomed 318 points to end at 33,351.57, while the broader Nifty spurted 88 points to 10,242.65.
Investors booked profits in range-bound trade, led by PSU, oil & gas, energy, infrastructure, telecom, realty, healthcare, bankex, FMCG, capital goods and power counters.
The agency on Monday questioned three general managers of the Punjab National Bank who have handled the -International Banking Division and Treasury department of the bank, officials said without revealing their identity.
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The 50-share NSE Nifty ended up 37.05 points, or 0.36 per cent, at 10,397.45 points
A recovery in rupee, buying by domestic institutional investors, encouraging earnings by select blue-chips and stock specific buying helped the market get back on its feet
Axis Bank emerged as the biggest gainer in the Sensex pack, surging 6.62 per cent, followed by SBI at 5.88 per cent.
The NSE Nifty settled the day 93.20 points or 0.88 per cent lower at 10,452.30 after shuttling between 10,612.90 and 10,434.05.
But the 30-share Sensex rose by 141.52 points, or 0.41 per cent, to close at 34,297.47. The broader NSE Nifty gained 44.60- points, or 0.42 per cent, to end at 10,545.50 after touching a high of 10,618.10.
The NSE Nifty settled the day 38.85 points or 0.37 per cent lower at 10,500.90 after shuttling between 10,590.55 and 10,456.65, intra-day.
Strong gains in Vedanta Ltd, Adani Ports, Bharti Airtel and Maruti Suzuki helped the index touch record levels.
The NSE Nifty too recovered over 100 points, or 0.96 per cent, to end at 10,576.85.
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Sentiment was hurt after market regulator Sebi directed bourses to initiate action against 331 suspected shell companies.
The 50-share NSE Nifty too closed down 168.30 points, or 1.58 per cent, at 10,498.25 -- a level last seen on January 3 when it closed at 10,443.20.
Investors booked profits in recent gainers
Oil & gas, banking and pharma sector stocks stole the show
Real Madrid produced a gutsy performance to earn a 1-0 win at Sevilla, on Sunday, which took them level on points at the top of La Liga
This is its biggest single session fall since August 24, 2015, when it had lost 1,624.51 points.
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Buying activity was so strong that all the sectoral indices except IT and technology ended in the green, rising by up to 3 per cent
The upcoming corporate results season and the approaching Union Budget kept investors on their toes
The 26-year-old Abshero, a former world junior cross country champion, would be looking to make a big impact on his first trip to India with a personal best time of two hours, four minutes and 23 seconds, the best among those who have entered the race.
The Sensex and Nifty remained above their key levels of 36,000 and 10,900 throughout the session, indicating strong investor optimism after a prolonged spell of caution.
Investors took comfort from Finance Minister Arun Jaitley's statement, who underlined the need to have globally compatible tax rates to broad-base the economy
Indices benefited from bargain-hunting in recently battered stocks, brokers said.
The 30-share Sensex, after opening on a strong footing, continued its upward march to hit an all-time high of 35,827.70. The NSE Nifty also hit a record intra-day high of 10,975.10, before finishing at 10,966.20, up 71.50 points.
Borussia Dortmund missed a bagful of chances to draw 1-1 at home with Augsburg on Tuesday, as they squandered the opportunity to make up ground in the Bundesliga title race heading into the winter break.
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Gains in key IT, capital goods, healthcare and metal stocks, after consistent buying by domestic and foreign investors, helped both the key indices to scale new peaks.
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Among the gainers, Sun Pharma topped by rising 3.03 per cent as the weak rupee tempted buyers to accumulate shares of pharma exporters.
A cold snap in Europe and parts of America has caused chaos and crippled the lives of thousands. There have been over 20 weather-related deaths across Europe -- with snow continuing to fall across the continent. In America, Washington was blanketed in white after the US capital was hit by its first snow of the year. Here are glimpses from the snow bomb.
Investors remained cautious in the face of the expiry of November series contracts in the derivatives segment, which also dampened sentiment.
The broad-based NSE Nifty rose 52.80 points, or 0.50 per cent, to end at 10,530.70
Sun Pharma was by far the biggest gainer in the Sensex pack, surging 8.13 per cent, followed by Dr Reddy's at 4.92 per cent.
Angel Di Maria delivered a near-perfect performance, scoring two and setting up another as runaway leaders Paris St Germain beat 10-man Olympique de Marseille 3-1 at home on Sunday.
Coal India topped the losers' list in the Sensex pack on Tuesday, falling 2.36 per cent, followed by Bharti Airtel at 2.16 per cent.