Defending a paltry 159, India were off to a splendid start as the six-feet two inches tall pacer from Madhya Pradesh had a first ball wicket before reducing Bangladesh to 23/4 in 6.2 overs with his rattling spell of 6-3-4-4.
The visitors were eventually bundled out for 76 in 22 overs for their one-sided win at the Jadavpur University second campus ground in Saltlake here.
Khan was finely supported by leftarm pacer Kanishk Seth (2/45) at the other end as the duo bowled 12 overs in tandem before the offspin and legspin duo of Mayank Dagar (1/7) and Zeeshan Ansari (2/1) wiped out the tail to hand them a bonus point victory.
He produced a superb spell with the new ball and generated bounce and movement off the seam to trouble the Bangladeshi top order.
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In his next over, Khan had Pinak Ghosh (1) caught behind to continue his glorious spell as India could not have thought for a better start.
From the Bangladeshi perspective, none of their top-order batsman looked to hold on as they played some casual shots and wickets kept falling at regular interval against a small target.
"But we hope to bounce back, it's a long tournament as we'll play each other twice."
India now have five points, while Bangladesh are yet to open their account in the tournament also involving Afghanistan. India will take on Afghanistan tomorrow in their second match.