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The Bangladesh star said Prime Minister Sheikh Hasina asked him to continue playing.
The Bangladeshi team, whose World Cup campaign begins on October 7 against Afghanistan in Dharamsala, is yet to reveal who will lead the side after Tamim's exit.
He steps in for regular skipper Tamim Iqbal who has been ruled out of the series after suffering a grade-one groin strain in training on Wednesday.
Skipper Tamim Iqbal smashed a fine unbeaten 87 off 82 balls as Bangladesh chased down the target in only 26.3 overs.
Tamim's selection in the World Cup squad was seen as a matter of him regaining his fitness and the 32-year-old said he was not quitting the 20-overs format.
Bangladesh captain Mashrafe Mortaza urged his players to make sure the cricketing world takes notice from the moment they start their campaign against South Africa at the Oval on June 2.
Irrespective of whether they make it to the semifinals or not, Mortaza and Co. have done well to earn the respect of the cricket world. That itself is a big achievement.
The Bangladesh opener said that the Indian skipper is someone to watch, admire and also learn from.
Rohit also praised Tamim and the Bangladesh team for becoming a major force in cricket over the years.
Kohli made his India debut in 2008 as a flashy batsman but has since combined compact technique with elegant shotmaking.
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