India beat New Zealand by 372 runs to take series 1-0.
New Zealand were 140 for 5 at stumps on day three, chasing a mammoth 540.
Ajaz bagged all 10 wickets to make history as India folded for 325.
Azaj Patel bagged all four wickets that fell on the opening day of the Mumbai Test.
Indian spinners helped India get on top before the visitors walked away with a draw.
New Zealand lost Young in a tall chase of 284, needs another 280 runs on final day.
New Zealand lost their last nine wickets for 99 runs in Kanpur.
New Zealand opening batters Will Young and Tom Latham registered half-centuries as New Zealand dominated Day 2 of the ongoing first Test against India at Kanpur on Friday.
Shreyas Iyer, on Test debut, strung together an unbeaten partnership of 113 runs with Ravindra Jadeja to put India in a commanding position at stumps on day one in Kanpur.
Rohit Sharma scored a half-century, Axar picked three wickets helped India defeat New Zealand by 73 runs in the final T20I at the Eden Gardens on Sunday.