The first Test will commence from October fourth in Rajkot, in which teenage batsman Prithvi Shaw is likely to make his ODI debut.
Shaw is also the second youngest Indian ever to score a Test century after Sachin Tendulkar who cracked a ton at 17 years and 107 days in 1990 vs England in Manchester.
"I was a bit nervous to start off but when I got in, I got comfortable", Shaw said.
"I just tried to play my natural game".
With all-rounder Hardik Pandya unavailable due to an injury, India are likely to play three spinners.
"I just spoke to him, he just had some jokes and just tried to speak Marathi, which is really amusing", he added. "So I was just thinking it is only another game for me".
The depleted West Indies attack did not have enough teeth to trouble Shaw and Pujara as they plundered runs at will after Rahul's departure.
The West Indies handed a big setback even before toss with the last-minute withdrawal of captain Jason Holder, looked ordinary at best on the field.
99 - Prithvi Shaw's 99-ball century is the second fastest by an Indian and the 3rd fastest by any player on Test debut.
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The last instance of India having two players aged less than 22 in a Test was in the 2011 Nottingham Test against England when Abhinav Mukund and Ishant Sharma played together.
His immediate success in the test arena justified the selectors' move to build for the future.
India's opening slot is where either Agarwal or Shaw will play with KL Rahul.
Shaw earned a reputation as a batting prodigy. The 18-year-old India's Under-19 World Cup winning skipper, Shaw, becomes India's 293rd Test player. Delhi Daredevils signed him for US$187,500 for the Indian Premier League. 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.
"I think he is a really amusing guy off the field".
He was out trying to drive legspinner Devendra Bishoo but only chipping straight back to the bowler.
Shaw and Pujara added 206 runs for the second wicket as the tourists were sent on a leatherhunt for large parts of the second session.
Rahane, meanwhile, had faced 92 balls and struck five fours and looked a safe bet for a half-century before edging a cut at part-time off-spinner Roston Chase to be caught at the wicket, with the close in sight.