There isn't any player who has played exactly 1 Test, 1 ODI and 1 T20I for India but a couple of them have come close. Karn Sharma (1 Test, 2 ODIs, 1 T20I) Karn Sharma made his test debut in the first match of the India tour of Australia in 2014-2015. He got to bowl in the first innings and ended up conceding 143 runs from 33 overs. He took two wickets, that of David Warner and Michael Clarke but ended up with an economy rate of 4.33.
The next time he got the ball, his figures were no better as he conceded 95 runs from 16 overs, taking two wickets that of David Warner and Chris Rogers but going at an economy rate of 5.93. India ended up losing the match by 48 runs.
Sharma made his ODI debut against Sri Lanka at Kolkata in November 2014. The second and last of his ODI matches came in the same series against Sri Lanka. Sharma conceded 64 runs from his nine overs in his ODI debut and failed to pick up a wicket. However, India won the match by 153 runs and he got another game.
In his second ODI at Ranchi, Sharma gave away 61 runs and could not pick up a wicket. India won this match by three wickets but this was the last time that Karn Sharma donned the India Blue in ODI cricket.
Karn Sharma played his only T20I against England at Birmingham in 2014. He gave away 28 runs from his four overs while picking up one wicket. In fact, he was the most economical bowler in the Indian lineup but unfortunately for him, he did not get another game after England won that match by 3 runs.
Naman Ojha (1 Test, 1 ODI, 2 T20Is) Wicketkeeper Naman Ojha, who has represented Delhi, Rajasthan Royals and Sunrisers Hyderabad in IPL, made his test debut against Sri Lanka at Colombo in September 2015. Ojha made 21 runs in his maiden test inning while consuming 54 deliveries.
He made 35 off 63 balls in the second innings and did well behind the stumps. Despite a decent performance, he did not get another test match for India.
Ojha played only one ODI match against Sri Lanka in June 2010. Both his T20I matches came against Zimbabwe at Harare in 2010.
The wicketkeeper has retired from competitive cricket and recently featured for India Legends in the Road Safety T20 competition.
