Australia had lost 0-4 during their previous tour to India and Kumble said his team will have plans to counter the visiting side when the first Test begins here on Thursday.
"We respect every opposition. We spoke about this even before the season started with New Zealand. England was tougher. We all know the Australian team. They are really professional, but I would like to treat them as any other team," Kumble said.
"They are a good side, have some good batters and bowlers. The approach they tend to take is to be aggressive. We are aware of it and we will put together strategies in place to counter that," he added.
The former leg-spinner said his team is capable of adapting to different challenges and focusing on things which they can control rather than worrying over the nature of pitch ahead of the first Test starting on Thursday.
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The former leg-spinner pointed out how India had come out of difficult situations a number of times since the start of the home season against New Zealand in October last year.
"If you look back at the 9 Tests that we've played at home, each one has its own challenges. We've played on some new venues, first Test match. We've played at venues where Test cricket hasn't been played before. So in that sense this team is capable of adjusting and adapting to whatever challenges come up. Really satisfied with the way things have gone," Kumble said.
"Even in Kolkata where we played New Zealand, it was in very different conditions where the seamers came into the picture. We had answers to all those questions. That's what you want from a champion team and that's exactly what we're trying to build towards and not really worry about the pitch or conditions," said India's highest Test wicket-taker.