Sent into bat by rival skipper Gautam Gambhir, opener Sanju Samson top-scored for the visitors with a blazing 60 off 38 balls at the Eden Gardens.
Shreyas Iyer contributed 47 off 34 balls, hitting four boundaries and a six.
During his stay in the middle, Samson smashed four fours and three sixes.
For Kolkata Knight Riders, Nathan Coulter-Nile was the most successful bowler, returning figures of 3/34 in four overs.
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