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Heavy rain hampered the final preparations for both teams on the eve of the contest and more showers are predicted throughout the week in which the Black Caps will aim to stop a rampant India from continuing their winning run at home.
India will host New Zealand in three Tests starting in Bangalore on October 16.
Chasing a modest target of 109, India romped home in 20.1 overs.
The home side chased down the 307-run target with 17 balls to spare, reaching 309 for 3 in 47.1 overs.
Chasing 284 for victory, New Zealand finished day five on 165/9 when bad light stopped play.
New Zealand recorded their highest-ever run chase, 348, riding on Ross Taylor's 84-ball-109 not out and stand-in skipper Latham's attacking half-century.
Boult was ruled out of the final Test between New Zealand and Australia after fracturing his right hand when he was struck on the gloves by a Mitchell Starc delivery and coach Gary Stead said the pacer was 'touch-and-go to be available' for the Twenty20 series against India.