The visitors required a single wicket to secure success after South Africa resumed on 293 for nine, chasing an improbable victory target of 417.
The second Ashes Test between England and Australia is scheduled from August 14 to August 18 at Lord's Cricket Ground.
If Rahane's side can go 2-1 up and ensure the retention of the Border-Gavaskar Trophy, it will be one of the finest hours in the history of Indian cricket
Karunaratne fell for 86 in the final session but Mendis was batting on 84 at stumps
A heavy downpour frustrated Australia on day two of the fourth and final Test in Brisbane on Saturday, with play abandoned after tea and India spared from resuming on 62 for two in reply to the home side's first innings 369.
Jofra Archer took six wickets as England's bowlers gave their side a handy lead on the second day of the final Ashes Test, reducing Australia to 225 all out in reply to their own first innings score of 294.
Former Australia captain Michael Clarke feels that fast bowler Mitchell Starc's absence due to injury will have a huge bearing on the final outcome of the four-Test series against India.
Younus Khan led Pakistan's fightback with a dogged century after the hosts made a terrible start to the first Test against Australia in Dubai on Wednesday. After opting to bat first, Pakistan put up 219 for four wickets at stumps on the first day, with captain Misbah-ul-haq (34) and Asad Shafiq (9) at the crease.
Images from Day 2 of the first Test between India and Australia, at the VCA Stadium in Nagpur, on Friday
IMAGES from Day 5 of the 4th Ashes Test at the Sydney Cricket Ground on Saturday
The first Test of the four-match series, beginning on December 17 will be played at the Adelaide Oval in a day-night contest. Australia have an unbeaten record in day-night Tests having won all the pink ball Tests they have played.
Rajneesh Gupta surveys the bowling landscape in India-Australia Tests.
Virat Kohli is the second fastest behind Don Bradman to score 25 Test hundreds, notes Rajneesh Gupta.
Following is a fact box on the second Test of the four-match series between Australia and India:
New Zealand captain Brendon McCullum refused to blame third umpire Nigel Llong's controversial review decision for his team's loss in the third and final Test against Australia but said the "frustrating" ruling had a major bearing on the game.
Rohit Sharma is ready to be flexible about his batting position in the eagerly-anticipated Test series against Australia
Azhar Ali hit his fourth Test ton against Australia as Pakistan piled on 476-4 before declaring
Images from Day 4 of the 5th and final Ashes Test between Australia and England at the SCG in Sydney on Sunday
The World Cup is just a couple of months away, and even after even a 0-2 loss in the just-concluded T20 series there won't be any shift in plans as far as skipper Virat Kohli and coach Ravi Shastri are concerned.
Brad Haddin equalled the record for most dismissals in a Test innings by an Australian wicketkeeper during India's first innings score of 408 in the ongoing second cricket Test at the Gabba in Brisbane on Thursday.
Australia pace legend Glenn McGrath termed himself a traditionalist and said he is dead against the idea of shortening the five-day game to a four-day affair as proposed by the ICC. The International Cricket Council is considering introduction of four-day Tests as part of the World Test Championships from 2023, an idea which is supported by Cricket Australia CEO Kevin Roberts.
Captain Steve Smith frustrated England with a fighting half-century and pushed Australia to 165 for four at the close of a see-sawing day two, rescuing the hosts after a top order collapse in the series-opening Ashes Test in Brisbane on Friday.
IMAGES from Day 3 of the 2nd Test at Perth on Monday
Statistical highlights of the fifth and final day of the first Test between India and Australia at the Adelaide Oval.
Pat Cummins, Josh Hazlewood, and Mitchell Starc along with spinner Nathan Lyon played all four Tests against India. While Cummins and Hazlewood starred with the ball, Starc and Lyon had to toil hard for wickets.
Australia's pace spearhead Mitchell Starc has been under fire for his lacklustre form during the home summer.
Hosts Australia will pull on a classic uniform from the 1980s featuring green strip on bright gold top and pants when they take on India in the three-match ODI series.
Having finally bowled India out for 336, Australia finished Day 3 on 21 for no loss, an overall lead of 54 runs in the final match of a see-saw series which remains level at 1-1.
The hard-hitting 27-year-old becomes the fifth Australia player to leave the Indian Twenty20 tournament early following the departures of captain Steve Smith, John Hastings and Mitchell and Shaun Marsh
'Show us your visa' chants heard at MCG; spectators warned against racism
Virat Kohli has scored 1,138 runs in overseas Tests this year -- that's the most by an Indian in a calendar year, points out Rajneesh Gupta.
England, who hold the urn, were dismissed for 233 in their second innings in the opening session of the fifth and final day of the maiden pink ball Ashes Test.
India head into the third Test with momentum after dampening Australia's Christmas cheer with a dominant eight-wicket win in the second match in Melbourne.
Following is a fact file on the first Test match between Australia and India in Adelaide and how the teams have performed at the Adelaide Oval over the years:
India will eye revenge for their defeat in one-day series as they meet fierce rivals Australia in three Twenty20 Internationals, starting on Tuesday, January 26 at Adelaide Oval. Games will also be played at the Melbourne Cricket Ground (January 29) and Sydney Cricket Ground (January 31). The matches will see some of the world's explosive batsmen in action, while the series is also tipped as a much-needed preparatory ground ahead of the crucial World T20 scheduled to be held in March in India.
IMAGES from Day 4 of the 4th Test played at the SCG on Sunday
The Australian captain also said that Bancroft's comments won't be held against him during future team selections.
West Indies were bowled out for 271 in their first innings after Australia pacer James Pattison ended Darren Bravo's stubborn resistance at tea on Day 3 of the Boxing Day Test at the Melbourne Cricket Ground on Monday.
Australia on Tuesday named Steve Smith and David Warner in their Twenty20 squad for home series against Sri Lanka and Pakistan as selectors firm up plans for next year's World Cup on home soil.
'He showed what Test cricket is all about.'< 'It is not about hitting the ball and looking fancy out in the middle, it is about showing grit.'