Ravindra Jadeja continues to reign supreme at the top of the ICC Men's Test Player Rankings for all-rounders, but his lead has narrowed following a stellar performance from Bangladesh's Mehidy Hasan Miraz.
Bairstow's unbeaten 114 was his second hundred of the match as England triumphed with two sessions to spare.
While defending totals of 350 or more in 59 Tests, India have won 42, with their sole defeat coming against England at Edgbaston in 2022.
Following Joe Root's shocking dismissal, England, after being well-placed on 224/2, lost their last eight wickets for 95 runs to be bowled out for 319
Both teams have struggled in the ODI format recently. World champions Australia lost to Sri Lanka (0-2) and Pakistan (1-2) in their last two series, while England, now coached by Brendon McCullum in all formats, haven't won an ODI series since their disastrous 2023 World Cup campaign.
The Proteas will now face the Group A runners-up in the semifinals, with India and New Zealand set to battle for Group A placings in Dubai on Sunday.
Pakistan beat England by nine wickets in the deciding third Test to win the series 2-1 in Rawalpindi on Saturday.
His 454 run-partnership with Harry Brook is the fourth-highest in Tests and Root said his fellow Yorkshireman was 'outstanding' with his triple-ton.
Indian batters are not known for their sweeping skills but they made a conscious effort to practise that shot in their opening net session ahead of the second Test against England beginning in Visakhapatnam on Friday.
Joe Root compiled his second straight century, an unbeaten 119, as England batted their way to a commanding position in the second Test against West Indies in Barbados on Wednesday.
Former all-rounder and head coach Ravi Shastri has thrown his weight behind young Washington Sundar to be a 'genuine all-rounder for many, many years for India'.
British media reports said all 10 English players involved with the IPL will hold a meeting with the Professional Cricketers' Association over security arrangements for a potential return to India.
Earlier, after being 0-2 early in their second innings, India continued to battle on to frustrate England on day five, the tourists doing everything possible to keep the series alive on 322-4 at tea.
As a traditional innings by Joe Root turned it around for England, Jonny Bairstow lauded his 'talented' teammate following Day 1's play.
Captain Cook also hits form, strikes 125-run opening partnership with Trott -- England's first century opening stand since March 2013.
Bumrah's pace has dropped noticeably in the ongoing fourth Test against England in Manchester - from his usual 140kph to the 130-135kph range. While he consistently touched 140-plus at Headingley and Lord's, Old Trafford has told a different story.
Take a look at the numbers and narratives that made Edgbaston Test one for the ages.
Images from Day 2 of the fifth Test between England and India at The Oval, London, on Friday.
Images from Day 2 of the second Test between England and India, at Lord's, on Friday.
England captain Joe Root took responsibility for his side's defeat by India in the second Test at Lord's on Monday, saying he got his field placing and bowling approach tactically wrong.
'At the moment he's in incredible form and to play the way he has done in such tough conditions, so alien to us as England batsmen, is incredible.'
As Team India gear up for the much-anticipated Test series against England starting on Friday, several players in the squad will draw confidence from their county cricket experience.
'I'm very passionate. I feel I've got the support of the men behind me to take the team forward. That's not changed at all.'
IMAGES from the Group B Champions Trophy match between Australia and England in Lahore on Saturday
IMAGES from Day 3 of the 1st Ashes Test played at the Gabba in Brisbane on Friday.
Brook's innings was by no means chanceless -- Tom Latham and Tim Southee both missed one good chance to take a thick edge in the slips -- but he rode his luck to bring up his 10th Test half century with a six.
The second day of the Lord's game ended with England on 118 for 3 wickets.
Chasing 326 for victory, England were bundled out for 317 with Afghanistan batter Ibrahim Zadran smashing a superb 177 and pacer Azmatullah Omarzai grabbing a five-wicket haul.
Shubman Gill scored a record-breaking 269 and their seamers struck early to put the tourists in a commanding position at Edgbaston on Thursday.
Shubman Gill was extremely consistent with thought process, respected good balls: Sachin Tendulkar
Bumrah was speaking about tackling with judgment when the funny moment took place.
Ollie Pope frequently played the sweep shots -- both traditional and reverse -- to negate spin and mess with India's fielding strategy.
Joe Root and Ian Bell are the two candidates to replace Jonathan Trott at No 3 in the England batting order for this week's second Ashes Test in Adelaide, batting coach Graham Gooch said on Monday.
The delivery, which Siraj played down onto the pitch in front of the crease, spun back and rattled the base of his leg stump, sparking wild celebrations in England camp.
The five-match Test series against India at home will be a massive Test for England's 'Bazball' brand of cricket under skipper Ben Stokes and head coach Brendon McCullum.
As India prepares for a much-anticipated five-match Test series in England, memories of the thrilling 2021 tour still linger, especially for Shardul Thakur, who played a pivotal role in that campaign.
'There's now a huge opportunity for everyone in the dressing room and those outside to put their hand up and say they want to be part of these white-ball teams.'
Images from Day 4 of the second Test between England and India at Edgbaston, in Birmingham, on Saturday.
England finally faced some resistance from New Zealand in the shape of Tom Blundell's defiant century but dismissed the Black Caps for 259 to wrap up a thumping 323-run victory on the third day of the second Test on Sunday.
IMAGES from Day 4 of the fourth Ashes Test between England and Australia at Old Trafford in Manchester on Saturday.