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Manu of Karnataka came second with 82.06m effort, while Uttam Balasaheb Patil of Maharashtra was third with 78.39m.
The 30-year-old Rani hurled the spear to a distance of 59.24m while Toor (28) heaved the iron ball to a distance of 20.42m to win the gold.
Liston was part of the Kerala Police team which won the Federation Cup in 1990 and 1991.