West Indies last won a Test match in India in 1984.
India skipper Virat Kohli said that the series would be the best chance for the newcomers to make an impression and try to cement their place in the Test side rather than play under pressure.
"I was a bit nervous to start off but when I got in, I got comfortable".
"The chief selector has already spoken to the player of what I know". I have played a lot of cricket since a smaller age. So I think a lot of things are taken in a different way, and people don't want to go into the detail of what exactly the term means when the trainer and the physio take a decision, because as you saw, someone like Hardik [Pandya] broke down [during the Asia Cup], but people can not anticipate that. "I was just thinking that it's another game for me and then it just happened", said Shaw.
Rajkot was where he made a century on debut in the Ranji Trophy.
With tea beckoning, West Indies struck twice to temporarily stall India's progress.
Kemar Roach returned home for the funeral of his grandmother, and captain Jason Holder withdrew because of an ankle injury. Hanuma Vihari, who scored a half-century on his debut in England, hasn't been selected in the first Test.
He raced into the 90s with another pulled boundary off the ineffective Bishoo before raising three figures off just 99 balls almost three-quarters of an hour after the interval, punching Paul to cover for a couple.
He became the second youngest Indian to score a maiden hundred after Sachin Tendulkar (17 years, 112 days) in 1990 against England.
However, there was some early celebration for the Windies when Gabriel struck Rahul in front with the sixth ball of the match with just three runs on the board.
With the selectors looking ahead, it's up to the likes of Shaw, Agarwal and KL Rahul to seal their spots at the top of the Indian batting order ahead of the much-anticipated tour to Australia.
Shaw earned a reputation as a batting prodigy. I think everyone's doing their job and everyone should be aware of who's doing what, when their jobs are concerned and I think people should also be aware of that. This first century is all for him.
Cheteshwar Pujara too looked at ease at the other end and was on 74 off 100 balls when the Shaw's century came.
Shaw gathered his runs on both sides of the wicket, taking 12 from Paul's second over of the morning courtesy of three boundaries before driving the same bowler for fours through the off and leg side to move into the 40s.
Indian vice-captain Rahane though lost his cool against off-spinner Roston Chase to get caught behind in the final few overs of the day.
Kohli and Pant, 19 not out, handled the attack to stumps on day one of the first test.
Nike 'deeply concerned' by Cristiano Ronaldo allegations
At this stage, it is unclear whether Ronaldo's latest ommision from the global squad is in any way related to these allegations. Ronaldo has firmly denied the allegations, saying it "goes against everything that I am and believe in".