Ajinkya Rahane contributed 41 runs.
Shaw became India's second-youngest century maker after Sachin Tendulkar as he reached three figures early in the second session. However, Shaw remained unfazed and kept playing his natural game in the company of Cheteshwar Pujara.
India´s Ravindra Jadeja celebrates after reaching his century (100 runs) during the second day´s play of the first Test cricket match between India and West Indies at the Saurashtra Cricket Association stadium in Rajkot on October 5, 2018.
Another day that was completed dominated by India as they went on to score almost 650 runs with Virat Kohli and then Ravindra Jadeja score centuries, the former has this habit of doing it regularly, while it was the first occasion for the latter to score a Test century and no better place to do it than at the home ground.
And Shaw finally departed in the final over before the break when he tamely chipped a return catch to Bishoo.
More than half of his runs came through boundaries, 19 in total.
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Pujara also played an uncharacteristically quick knock as he brought up fifty off 67 deliveries, but missed out on his hundred after being caught behind off debutant paceman Sherman Lewis.
Prithvi Shaw is no stranger to success and high league pressure.
India were dealt an early blow in the opening Test. KL Rahul was trapped leg before wicket by Shannon Gabriel. Rahul was better off not taking the DRS as the ball was clearly crashing into the stumps.
He got more aggressive in Paul's following over, hitting him for three fours as the pacer was duly punished for bowling far too many looseners.
While Shaw punched and drove effortlessly off pacers, he was equally comfortable against the spin duo of Bishoo and Chase.
Rishabh Pant (17) and skipper Virat Kohli (72) were at the crease when umpires dislodged the bails for the day.