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Courtesy Jos Buttlers unbeaten 37-ball-66, England piled up a challenging 171 for four after being put into bat and then managed to restrict the Island nation to 161.
England clinched a semi-final berth in the World Twenty20 after quelling a spirited challenge from defending champions Sri Lanka by 10 runs in a closely contested Group I match, in New Delhi on Saturday.
England win meant that formidable South Africa were also knocked out of the global event, rendering Proteas final match against the 2014 champions as one of academic interest.
Courtesy Jos Buttlers unbeaten 37-ball-66, England piled up a challenging 171 for four after being put into bat and then managed to restrict the Island nation to 161 to end their group league engagements with six points from four games.
Chris Jordan bowled a brilliant penultimate over to finish with figures of 4/28 in 4 overs while David Willey chipped in with 2/26.
For Sri Lanka, skipper Angelo Mathews fought valiantly with hamstring injury to score unbeaten 73 off 54 balls with three fours and five sixes.
With West Indies in all likelihood to win against Afghanistan in their final group league outing, the England team, who are likely to finish second in the group, will take on New Zealand in the semi-final at the Feroz Shah Kotla on March 30.
Defending champions Sri Lanka are going through a very transition phase as they have won only two of their last 10 T20 internationals. The more embarrassing piece of statistic is the fact that the two wins have come against associate nations Afghanistan in this World T20 and United Arab Emirates in the Asia Cup.
The Lankan chase as a contest seemed over within the first three overs, with the team reeling at 15 for four but Mathews fought well, keeping the chase alive till the final over when the team needed 15 runs.
Mathews kept the strike with him but could not get the desired big shot and played as many as four dot balls. He threw his bat in disgust at the end of the match.
At the start of the chase, Tillakaratne Dilshan (2) was out third ball trying to pull left-arm seamer David Willey. Dinesh Chandimal (1) chased a Chris Jordan delivery that could have been left alone only to guide into Buttlers gloves.
Milinda Siriwardana (7) hit a six but was out trying to clear Eoin Morgan standing at cover, who positioned himself exactly at the edge of the 30-yard circle.
It became 15 for four as Lahiru Thirimanne (3) was brilliantly run-out by Ben Stokes. It became a catch-up game for the Lankans after that despite a valiant 80-run stand between Chamara Kapugedara (30) and Mathews.
In the 12th over, Kapugedara and Mathews took 21 off leg -spinner Adil Rasheed hitting him for three sixes. But in the next over, Kapugeedara was holed out in the deep as Sri Lanka were reduced to 95 for five.
But Mathews tried his best with lusty blows but it was not enough in the end.