Leading the side in the absence of rested regular skipper Virat Kohli, opening batsman Rohit hit five fours and an equal number of sixes in his 61-ball knock to guide India to 176-3 in their 20 overs.
The second day's play in the first test between Bangladesh and West Indies at Chittagong was called off on Saturday due to heavy overnight rain that left the outfield damp.
Ahead of the three-match series, here's the schedule and key stats between the teams.
Shakib has already submitted a letter to the BCB asking for a sabbatical and the board has complied with his demand.
The first test between Bangladesh and West Indies at Chittagong was affected by the weather again on Sunday as early drizzle and a damp outfield forced the cancellation of the third day.
Half-centuries from opener Tamim Iqbal and captain Mushfiqur Rahim took Bangladesh to a commanding 255 for four at the close of day one of the first Test in Chittagong on Friday. Captain Rahim (68) and Naeem Islam (eight) were at the crease when stumps were drawn.
India's bowlers faced dogged resistance from Bangladesh middle-order led by captain Mushfiqur Rahim, who hit a defiant 81 not out to take his team to 322 for six at stumps on Day 3 of the one-off Test in Hyderabad.
Sri Lanka's Rangana Herath became the most successful left-arm spinner in Test cricket on Saturday, claiming six for 59 to bowl his team to an emphatic 259-run victory against Bangladesh in the first Test.
Mushfiqur Rahim led Bangladesh from the front with 41 not out as the home side ended their 12-match losing streak in Twenty20 internationals with a three-wicket win over West Indies on Tuesday.
Brian Vitori became the first Zimbabwean to take five wickets on his One-day International debut as the home side beat Bangladesh by four wickets in the first of five ODIs at Harare Sports Club.
Younis Khan and Azhar Ali struck centuries to punish a sloppy Bangladesh and power Pakistan to a strong 323 for three wickets on the first day of the second and final Test on Wednesday.
Eager to keep their semi-final hopes alive, a desperate Bangladesh will have their work cut out when they take on a spirited Afghanistan in a do-or-die World Cup encounter in Southampton on Monday. England's defeat at the hands of Sri Lanka on Friday breathed air into Bangladesh's hopes of securing a semi-final berth and the 'Tigers' will be keen on making the most of the situation starting with a win over the bottom-placed Afghanistan.
Murali Vijay and Cheteshwar Pujara overcame occasional discomforts to take India to 86 for one wicket at lunch on the opening day of their one-off Test against Bangladesh at Hyderabad on Thursday.
Humiliated by Afghanistan in the ongoing Asia Cup, a livid Bangladesh captain Mushfiqur Rahim said the 32-run defeat against the tournament-debutantes was "shameful" and should trigger a few sackings.
Bangladesh have come close to a victory on many occasions but have failed to cross the line, especially against top teams like India losing the T20 series 1-2.
'All these years, I've just tried to do my best with the bat in hand. I knew conditions were perfect. So, all I wanted to do was stay still and tonk the ball. The year 2019 has been very good so far. Just want to finish it off on a good note'
For Rohit, it is important that mistakes committed in the last game is not repeated.
A three-wicket blitz at the start of their innings knocked the wind out of Afghanistan on their World Cup debut and helped Bangladesh to a 105-run victory with more than seven overs to spare in their Pool A opener in Canberra on Wednesday.
Shakib received an offer from a bookie before an international match, which he did not report to the ICC's Anti-Corruption and Security Unit (ACSU).
Having suffered an unexpected defeat against Sri Lanka in their tournament-opener, it is highly unlikely that India will experiment against a resurgent Bangladesh in their final league stage match.
The road to the knockout stage for Sarfaraz Ahmed and his men is just an improbable mathematical calculation and that too provided Pakistan win the toss and bat first.
Rashid Khan produced another magical spell of spin bowling as Afghanistan wrapped up a six wicket win over Bangladesh to take an unassailable 2-0 lead in the three-match T20 series on Tuesday.
Bangladesh all-rounder Shakib Al Hasan is the first player to score 400 runs and take 10 wickets at the same World Cup.
Sunil Joshi is backing Bangladesh's spin bowlers, led by the in-form Shakib Al Hasan, to hold their own against India when their World Cup campaign continues next week.
Following are the statistical highlights on day three of the second and final cricket Test between India and Bangladesh at Mirpur on Tuesday.
Shakib's magnificent 85 off 97 balls is the highest individual innings by a Bangladesh captain against India. The said knock is his highest against India. His third half-century against India is his 13th overall.
Alastair Cook's side next travel to India, the world's top-ranked team, before hosting South Africa and West Indies in 2017 ahead of their ultimate challenge in a tour of Australia.
Taskin Ahmed became the fifth Bangladesh bowler to claim a one-day hat-trick before incessant rain washed out the second match of the series against Sri Lanka in Dambulla on Tuesday.
Images from India's World Cup warm-up match against Bangladesh, in Cardiff, on Tuesday.
Ravichandran Ashwin, on Sunday, added yet another feather on his cap as he became the quickest bowler to claim 250 wickets in Test cricket.
Chahal has made a successful comeback with a stellar showing against Bangladesh
India are expected to seal the series on Sunday but one can expect Bangladesh to spring another surprise like they did in Delhi
Pakistan will be eager to raise their game.
Injured pacer Mashrafe Mortaza was left out of the 14-member Bangladesh squad for the two-match Test series against India starting from January 17 in Chittagong.
Rohit said he was not overtly worried about that fact that his brigade failed in home conditions
The 19-year-old wonder spinner has gained 54 points to finish with 813 points, 80 more than second-placed Shadab Khan of Pakistan.
Indian Cricket Board feel that President-elect Sourav Ganguly's cordial relations with both players and officials in Bangladesh cricket might help in salvaging the situation.
Bangladesh completed a 3-0 sweep over New Zealand after a stunning four-wicket victory in the third ODI in Fatullah on Sunday. Shamsur Rahman's 96 took the home side to 309-6, steaming past New Zealand's 307 with four balls and four wickets to spare at the packed Khan Shaheb Osman Ali stadium, just outside Dhaka.
Tamim Iqbal scored a double century and Imrul Kayes 150 in a record opening stand of 312 as Bangladesh overhauled a huge first innings deficit to force a draw with Pakistan in the opening Test at Khulna on Saturday.
Debutant Aiden Markram suffered a horror run out just three runs shy of a century as South Africa amassed 298 for one on the first day of the first Test against Bangladesh on Thursday.
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