The highlight of the day was Cook's dour batting after getting reprieve on 15 when Ravindra Jadeja dropped a sitter at third slip off debutant Pankaj Singh's bowling.
Cook, who missed out on a 26th Test century by five runs, has now gone without a three-figure mark in 29 consecutive innings.
Once he got a 'life', decided to grind it out as he played 231 balls hitting nine fours frustrating a pedestrian Indian attack in the process.
At stumps on a rather disappointing day for Indians, veteran Ian Bell gave Ballance company, batting on 16.
It was Jadeja who got rid of the England skipper after frustrating him with a packed leg-side field. Cook in his bid to pull got a faint nick as Dhoni took a smart catch down leg-side. The England captain didn't seem too amused with umpire Marais Erasmus' decision but returned to a standing ovation from the spectators having gone through one of the toughest phases in his international career.
Pankaj (0/62 in 20 overs) bowled some lovely deliveries including the one which Cook edged to Jadeja, who failed to latch onto a ball that was eminently catchable.
With the second new ball, he produced a delivery that swung from leg to middle to trap Ian Bell in-front but umpire Rod Tucker didn't seem interested.
Mohammed Shami (1/62) got Sam Robson's wicket but was the most disappointing of the pace trio erring in length on a number of occasions.
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