Kuldeep returned figures of 5-57 with his left-arm wrist spin, his first five-for in just his fourth Test since making his debut against Australia previous year. After the break, Kieran Powell (83) tried to put the Indian attack to the sword with eight fours and four sixes in his 93-ball stay, reaching his sixth test half-century off 55 balls.
West Indies made 181 in its first innings after resuming on 94-6 Saturday and was asked to follow on. The second and final Test of the series begins next Friday at Hyderabad.
Ravindra Jadeja, who scored his maiden worldwide century during India's only innings, took the final wicket of Shannon Gabriel for four as the hosts celebrated an utterly dominant win over the former cricketing powerhouse. And the decision of sending him back early from the England tour to prepare for the series, proved right as he ran through the Windies line-up to hand India its biggest innings win ever. At the time when they needed to hold the ground, they went for reckless shots that proved costly eventually.
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Roston Chase and Kierron Powell were looking to stitch together a steady partnership but Kuldeep was once again the wicket-taker for India as he fooled Chase with his flight and the West Indies batsman ended up giving an easy catch to Ravichandran Ashwin.
India started with the spin-pace combination of Kuldeep and Mohammad Shami. Surprisingly, Chase and Paul had little difficulty in picking the chinaman, who bowled the first over of the day. He was comfortable against Kuldeep but had issues dealing with the short ball.
Chase, batting at number six, then attempted to halt the slide in a 25-run, sixth wicket stand with wicketkeeper Shane Dowrich (10) - the best stand of the innings so far.
Shaw, who is seen as the next big thing in Indian cricket, had on Thursday lived up to the hype surrounding his name by becoming the youngest Indian batsman to hit a century in his debut Test match. Shimron Hetmyer's dismal run-out, and the manner of dismissals of Sunil Ambris and Shane Dowrich - where they tried to go on the offensive to survive against India's relentless spinners - were things the team would not be proud of.