The Remington Model 760 Gamemaster, with the serial number 35215, would have been manufactured between 1951 and 1967 It's a pump-action rifle, designed for hunting. Model: Remington Model 760 Gamemaster. Action: Pump-action (slide-action). Caliber: .30-06 Spring. Production: 1952-1981. Serial Number: 35215. Approximate Manufacturing Date: 1951-1967. Description: A popular hunting rifle known for its reliability and ease of use.