Mendis, Rajapaksa help Sri Lanka seal tense Asia Cup win
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Set 176 for victory, Sri Lanka leaned on an attacking 62-run opening stand between Pathum Nissanka (35) and Mendis (36) to achieve their target with five balls to spare at Sharjah.
Afghanistan's bowlers got regular wickets to dent Sri Lanka's middle-order but Rajapaksa's 31 off 14 balls and a quickfire 16 not out from Wanindu Hasaranga helped them achieve the highest chase at the desert venue.
Earlier, Rahmanullah Gurbaz smashed 84 to guide Afghanistan to 175-6, a total that could have been bigger had Sri Lankan bowlers not hurt the Afghans with late strikes.
Gurbaz's effort came in vain after he put on a key second-wicket stand of 93 with Ibrahim Zadran, who made 40, after Afghanistan were made to bat first.
Dilshan Madushanka, a left-arm quick, took two wickets while fellow fast bowler Asitha Fernando and spinner Maheesh Theekshana claimed one each.
In reply, Sri Lankan openers Nissanka and Mendis started strongly in the powerplay.
Nissanka attacked the bowlers with a few boundaries and then Mendis took over, smashing leg-spinner Rashid Khan for two sixes to bring up his team's fifty.
Fast bowler Naveen-ul-Haq broke through remove Mendis after the batsman's 19-ball blitz.
Nissanka attempted to keep up the charge but fell to spinner Mujeeb Ur Rahman with Gurbaz taking a sharp catch.
Danushka Gunathilaka made 33 to keep the chase on track despite the loss of Charith Asalanka and skipper Dasun Shanaka at the other end.
He found company in the form of Rajapaksa, who smashed Naveen for two fours and one six in an 18-run 16th over to bring down the asking rate.
Rashid bowled Gunathilaka but new man Hasaranga hit three boundaries to take Sri Lanka near their target.
Rajapaksa was out in the 19th over before Chamika Karunaratne hit the winning boundary.
H. Zazai b Madushanka 13
R. Gurbaz c de Silva b Fernando 84
I. Zadran c Fernando b Madushanka 40
N. Zadran run out (de Silva/Mendis) 17
M. Nabi c and b Theekshana 1
R. Khan run out (Nissanka/Mendis) 9
K. Janat not out 0
Extras (lb1, nb1, w9) 11
Total (6 wickets, 20 overs) 175
Did not bat: S. Shinwari, Naveen-ul-Haq, Mujeeb Ur Rahman, F. Farooqi
Fall of wickets: 1-46 (Zazai), 2-139 (Gurbaz), 3-151 (Ibrahim), 4-166 (Nabi), 5-166 (Najibullah), 6-175 (Rashid)
Bowling: Theekshana 4-0-29-1, Fernando 4-0-34-1, Madushanka 4-0-37-2, Hasaranga 4-0-23-0, Karunaratne 2-0-29-0, Shanaka 2-0-22-0
Sri Lanka (target 176)
P. Nissanka c Gurbaz b Mujeeb Ur Rahman 35
K. Mendis c Ibrahim b Naveen-ul-Haq 36
C. Asalanka b Nabi 8
D. Gunathilaka b Rashid 33
D. Shanaka c Najibullah b Mujeeb Ur Rahman 10
B. Rajapaksa b Naveen-ul-Haq 31
W. Hasaranga de Silva not out 16
C. Karunaratne not out 5
Extras (lb2, w3) 5
Total (6 wickets, 19.1 overs) 179
Did not bat: M. Theekshana, A. Fernando, D. Madushanka
Fall of wickets: 1-62 (Mendis), 2-80 (Nissanka), 3-94 (Asalanka), 4-119 (Shanaka), 5-151 (Gunathilaka), 6-174 (Rajapaksa)
Bowling: Farooqi 3.1-0-34-0 (w1), Mujeeb Ur Rahman 4-0-30-2 (w1), Naveen-ul-Haq 4-0-40-2 (w1), Rashid 4-0-39-1, Nabi 4-0-34-1
Toss: Sri Lanka
Result: Sri Lanka won by four wickets