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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.
Results 1-6
