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Kohli slipped to No.2 spot following his first-ball duck in the Jamaica Test, while Smith returned to the top spot riding on his twin centuries in the first Ashes Test against England and 92 in the second match.
Among others, Ajinkya Rahane returned to top 10, rising four places to No.7, after following up his half-century and hundred in Antigua with another useful fifty in Jamaica.
Hanuma Vihari, described by Kohli as “the find of the series”, shot up 40 places to No.30 after just six Tests following a fruitful West Indies tour.
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However, after having made 76 in the first innings of the second Test against the West Indies, Kohli made a first-ball duck in the second essay. He is yet to add to his 25 Test hundreds after three Tests this year.
That allowed Smith, who missed the third Test at Headingley, to open up a single-point lead in the latest rankings. He has a chance to extend that lead in the fourth Ashes Test, starting at Manchester on Wednesday.
Smith was on the top spot since December 2015. It was only in August 2018, when he was serving a ban for his role in the ball-tampering scandal, that Kohli overtook him after reaching career-high rating points in the series against England.
In ICC Test rankings for bowlers, Bumrah, who is currently the No.1 ODI bowler, continued his impressive run to climb up to the third spot with a career-best 835 rating points.
Bumrah is now only behind Australia’s Pat Cummins and South Africa’s Kagiso Rabada.