Yusuf Pathan became the first batsman in the Twenty20 history, and sixth overall, to be adjudged out for obstructing the field.
Babar capitalised on an early reprieve to score a career-best 143 not out when bad light forced early stumps with Pakistan 109 ahead with seven wickets remaining.
Shreyas Iyer says it was his unflinching belief in his abilities that helped him to bounce back from a 'lonely phase'.
After Hardik Pandya's nonchalant six, DK exchanged a fist bump with his partner, before bowing to Hardik.
India must win the next two games with big margins.
Pakistan suffered their second consecutive loss as they were handed a crushing 150-run defeat by the West Indies.
Coming after a 43 in the World Test Championship final and a 36 in the first Test, Warner feels he is on an upwards trajectory in his batting form.
The opening Test, also played in Karachi, ended in a draw as well.
Steve Smith smashed an unbeaten half-century to power Australia to a seven-wicket victory against Pakistan in the second T20 International in Canberra on Tuesday.
'I was a little bit more chilled when I got out there. Didn't have many high hopes, I think. But yeah, I've been pretty cooked over the last couple of days. Coincided with the sleepless night last night with the family over...'
The second Test, also in Karachi, begins on Monday.
Pakistan's flamboyant all-rounder Shahid Afridi celebrated his 50th appearance in Twenty20 internationals with a half century to lead his side to a 23-run victory over Sri Lanka on Sunday.
Earlier, Devon Conway fell for 92 but Tom Latham could not be denied his century after New Zealand resumed on 165 for no loss at the National Stadium.
'He should have had Nawaz bowl the 13th or 14th over...
Bangladesh recorded their first series win against Pakistan after opener Tamim Iqbal's second successive century secured a seven-wicket victory in the second one-day international on Sunday.
Despite the win the Pakistan skipper expressed disappointment at the form shown by him and opener Mohammad Rizwan, as both the batters failed to contribute.
'The next game is obviously a big one for us against the Netherlands in Adelaide. Have to put this one behind quickly, take whatever learnings we can.'
Debutant Kyle Abbott took nine wickets as South Africa completed a 3-0 series sweep over Pakistan with a crushing innings and 18 run victory in the third and final test at Centurion on Sunday.
IMAGES from the Asia Cup match between India and Nepal played in Pallekele on Monday
David Warner scored a sparkling, unbeaten triple hundred after before being reprieved by another no-ball as Australia declared their first innings closed at 589 for three before the dinner-break on Day 4 of the second Test against Pakistan, at the Adelaide Oval, on Saturday.
IMAGES from the ICC World Cup match between New Zealand and Sri Lanka at the M Chinnaswamy stadium, in Bengaluru, on Thursday.
Rain and bad light did not allow full play on any of the previous four days since Sri Lanka won the toss and chose to bat but Pakistan's Abid became the only male cricketer to hit a century on his debut in both the Test and ODIs.
Images from the ICC World Cup match between Sri Lanka and Bangladesh, at the Arun Jaitley Stadium, in New Delhi, on Monday.
Images from Day 2 of the first Test match between England and Pakistan in Manchester, on Thursday.
Following in the footsteps of openers Abid Ali and Shan Masood, Azhar Ali and Babar Azam smashed centuries before Pakistan declared their second innings on 555-3.
IMAGES from the T20 World Cup semi-final match played between India and England in Adelaide on Thursday.
Grant Elliot's all-round performance eclipsed Shahid Afridi's 29-ball blitz to secure New Zealand a comfortable seven-wicket victory over Pakistan in the first One Day International in Wellington on Saturday.
IMAGES from the ICC World Cup match played between Australia and Bangladesh in Pune on Saturday
Pakistan captain Misbah-ul-Haq fell just short of his sixth Test century but his team clung on to their slim hopes of salvaging the second Test against Sri Lanka after a stirring rearguard action in Dubai on Saturday.
Azhar Ali smashed a second century in successive matches on Wednesday to leave the final Test between Pakistan against Sri Lanka poised for an intriguing finish. His 136 enabled Pakistan wriggled out of a tight corner and post 299-8 in their second innings by stumps on the fourth day in Pallekele.
Mohammed Siraj's sensational six-wicket spell put India in control despite a superb fightback from South Africa with the ball on Day 1 of the second and final Test.
A chaotic buildup could be the reason for Bangladesh's "worst ever" World Cup campaign, lamented skipper Shakib Al Hasan, after they cut a sorry figure in an 87-run defeat to the Netherlands and suffered their fifth loss on the trot in Kolkata on Saturday.
IMAGES from Day 4 of the 3rd Test played between England and Pakistan at the Rose Bowl in Southampton on Monday.
Australia maintained their perfect record against the south Asians on home soil and continued their recent good form in Tests since retaining the Ashes in England.
Conway century lifted New Zealand to 309-6 against Pakistan
A place in the ICC ODI World Cup final once again eluded the South Africans as they went down to Australia by three wickets.
A magnificent partnership between Chris Woakes and Jos Buttler helped propel England to an unlikely three-wicket victory over Pakistan in a topsy-turvy first Test at Old Trafford on Saturday. Images from Day 4 of the first Test between England and Pakistan in Manchester on Saturday.
The West Indies' fast bowlers produced a ruthless display to dismiss Pakistan for a disappointing 105 in their World Cup opener at Trent Bridge on Friday. In reply, Chris Gayle led the chase, scoring 50 ff 34 deliveries, as the meagre target was overhauled in 13.4 overs.
All-rounder Imad Wasim's unbeaten 49 guided Pakistan to a thrilling three-wicket victory over minnows Afghanistan in Leeds on Saturday, maintaining their hopes of reaching the World Cup semi-finals.
Sri Lanka ended the day at the score of 64/3, still trailing the hosts by 127 runs.
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