"His two-seamer was riding pretty good when it was down, but I think it was just a couple of spots missed, " catcher John Jaso said.
Chennai Super Kings, one of the top franchises, has two Sri Lankans - seamer Nuwan Kulasekara and off-spinner Akila Dananjaya.
He smashed three huge sixes - including two straight ones off seamer Elton Chigumbura - and reached 50 from just 40 balls before he was was caught at long-off.
Spinner Ashley Giles took three wickets and recalled seamer James Kirtley two.
At the age of 17 years and two days, the Swansea seamer became the youngest player ever to take seven wickets in the County Championship.
Scotland's most-capped player Wright struck two boundaries off Agarkar but the seamer claimed his second wicket with a slower one that Hamilton missed as he tried to sweep.
Left-arm seamer Nuwan Zoysa took two wickets to help check their progress and when Mohammad Kaif was bowled by Dilhara Lokuhettige, India were 157-4 but with more than half of their overs remaining.
Left-arm seamer Charl Willoughby later took two wickets in five balls before rain sent the teams off for the day.
Fellow seamer Stuart Broad gave England two wickets in his first over in a perfect start for the tourists, but life got harder from that point on for the bowlers.
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Former Warwickshire seamer Corey Collymore, who bowled two maidens in the four overs possible on the opening day, continued his new-ball spell for a return of two for nine from eight overs on a greenish pitch with some bounce and movement.
Swann hit two sixes and five fours before he was bwoeld by former Yorkshire seamer Pieter Swanepoel, who was rewarded for some steady seam bowling with figures of 3-42.
De Bruyn was reprieved on eight when Pattinson spilled a low caught and bowled chance, and the seamer suffered more disappointment when De Bruyn and Kieswetter took 26 off two of his overs.
When he thrashed left-arm seamer Parnell through the covers for four and upper-cut him for six two balls later the dashing Indian opener had made 39 from 20 balls.
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Dexter recorded his second Championship century, but seamer Rana Naved-ul-Hasan rattled the top of his off-stump and picked up two more quick wickets.
Having taken two wickets in his one previous game against Kent last summer, Hussain, a 26-year-old seamer brought up in east London, enjoyed a seasonal bow to remember.
The hosts began the epic chase well, with opener Mahela Jayawardene hitting two fours and a six for a run-a-ball 19 before he was caught by Mohammad Aamer off seamer Naved-ul-Hasan to leave the hosts on 36-1 in the sixth over.
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