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India registered their 15th win in the last 19 Tests under skipper Kohli with a comfortable 208 run victory against the touring Bangladeshis at Hyderabad on Monday.
Kohli led from the front with his 4th double ton and resultantly won the Man of the Match award.
Winning the toss, India batted first on a batting paradise but lost KL Rahul early.
But Murali Vijay and Cheteshwar Pujara added 178 runs for the second wicket making the Bangladesh bowlers toil hard.
Pujara fell for 83 which brought skipper Kohli to the crease. Vijay (108) completed a sublime century on the other end but soon got out.
India did not lose any further wickets as skipper Kohli consolidated and reached yet another 100. India ended day 1 on 356/3 with Kohli and Rahane at the crease.
Both the men dominated and continued their assault by adding another 200 run stand.
Rahane had made a classy looking 83 on his return but got out courtesy a blinder from Mehedi Hasan.
Virat Kohli, meanwhile had gone from Tests to ODIs to T20s in terms of strike rate and completed his fourth double ton in Test matches.
India lost Kohli (204) with the score reading 495/5 but Wriddhiman Saha's 3rd Test century along with an unbeaten 60 from Jadeja took India too 687/6 before Kohli decided to declare.
Bangladesh openers started promisingly and added 39 runs until a sharp review from Kohli saw Sarkar making a walk back.
Resuming at an overnight score of 41/1, Bangladesh lost Tamim Iqbal through a mix up early.
Mominul Haque and Mahmudullah too fell after getting a start as Bangladesh were reduced to 109/4.
But their most reliable men, Shakib Al Hasan and Mushfiqur Rahim started rebuilding their innings.
Shakib in particular impressed with a counter attacking knock which eventually also caused his downfall.
Rahim on the other end was rock solid and determined to get a big score. Jadeja pinned Sabbir Rahman (16) but Mehedi Hasan combined with his skipper to trouble India.
It was Bhuvneshwar Kumar's brilliant delivery which eventually dismissed Mehedi (51) after frustrating India.
Kohli deployed Umesh and Ishant who bowled a series of short balls to Rahim and Islam to keep the run flow in check.
Their hostile spell got rid of Taijul Islam but couldn't stop Mushfiqur from getting his 5th Test ton.
Bangladesh were bowled out for 388, 299 runs still behind India. But the way they batted for 127 overs forced Kohli to not enforce the follow on and have a go at them again.
India batted after lunch but lost Vijay and Rahul early before skipper Kohli and Pujara attacked and got some quick runs.
Kohli entertained the crowd with his breezy 38 but fell in an attempt to get quick runs.
Pujara's 54* (58b), Rahane's 28 and Jadeja's 16* run cameo took India to 159/4 in the limited 29 overs they batted. Kohli decided to declare on the stroke of Tea and Bangladesh were given an improbable task - 459 to chase.
Ashwin removed Tamim Iqbal (2) cheaply before Sarkar and Mominul stitched on a partnership. Bangladesh were reduced from 71/1 to 106/4 with Sarkar (42), Mominul (27) and Shakib (22) falling to India's spinners. Rahim and Mahmudullah kept the fight going but Ashwin again broke through and dismissed the Bangladeshi skipper.
Ishant Sharma bowled a fiery spell to Rahman and had an exchange of words too. He finally accounted for his wicket and went onto end Mahmudullah's resilient knock too.
Jadeja and Ashwin again combined to wipe off the tail and shot out the visitors of 250. The Bangladeshi batsmen, after batting for 127 overs in the first innings, managed to survive for 100.3 overs in the second.
Though it could be seen that Kohli gave his pace bowlers a longer spell than what they would usually bowl, Bangladesh's efforts to fight for over 5 days speaks a lot about their character and hunger to perform against better teams.