The last time West Indies won a Test series against India was at home in 2002. The team has lost six straight series against India since then.
Adam Voges and Shaun Marsh combined for 449 runs and the sixth highest partnership in Test cricket history to put Australia firmly in control after the second day of the first Test against West Indies on Friday.
The West Indies bowling could have been taken to the cleaners, but the skipper hit only 10 fours in his knock -- significantly less than Shaw's 19 boundaries and Pujara's 14 hits.
After resuming on 70 for 1, India A added 229 runs at the expense of seven wickets as the visitors were placed at 299 for 8 at stumps on Day 2 at the Sir Vivian Richards Stadium. India A had bowled out the home side for 228 on the first day.
India have endured series losses in South Africa and England over the last nine months but have still managed to remain the number one side in the longest format.
The weather-ravaged, dead rubber third Test between Australia and the West Indies petered out in a draw at the Sydney Cricket Ground (SCG) on Thursday.