Superintendent of police P Sudhakar said Tushar Kanti Das of BSF 64 Battalion had spotted the minitruck at Gaighata in the morning and had given it a chase on a cycle along with a local.
He was hit fatally by the fleeing truck and was rushed to a local hospital, which declared him brought dead.
The truck with four cows was seized by the police, Mr Sudhakar added.
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