New Zealand are leading by 244 runs with last pair on the wicket, leaving India with almost two full days to achieve the target.
The Kiwi assistant coach Bob Carter is also hoping that the pitch will deteriorate enough to give his bowlers some advantage over the Indian batsmen.
"We have three young bowlers who are raring to go. We are going to go look to make the ball swing and get into a good enough position to press for a win. We are also hoping that pitch deteriorates as a normal wicket does," Carter told reporters at close at Chinnaswamy stadium here.
Tim Southee returned a career-best seven-wicket haul while Dough Bracewell took two wickets in Indian first innings, which folded for 353, 12 short of Kiwi total.
Carter said if the pitch plays uneven, the contest will be interesting.
"The handy lead that NZ got due to positive approach has given the team an opportunity in this game," he added.
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On James Franklin throwing away his wicket, Carter said the left-hander was doing the right thing by trying to get some runs for the team.
"You should also credit Indian bowlers for the way they bowled," he said.
On Southee's impressive performance, Carter said he paid back the selectors for considering him in this Test.
"To get Kohli, who was on a hundred, the way he did was an outstanding piece of bowling. Seven wickets in Indian conditions is not just something that he would remember, that's what we all would remember as well," he said.