India beat New Zealand by an innings and 115 runs in the first cricket Test at Hyderabad on sunday to take 1-0 lead in the two-match Test series. India, after posting 438 on the board in their first innings, dismissed New Zealand twice to inflict on them an innings defeat. India's ace spinner Ravichandran Ashwin produced a career-best 12-wicket match haul and crushed the visitors.