I can say that the Remington model 24,semi-auto 22.rifle was produced between 1922-1935,with a total production of 131,000 rifles.I would feel safe to say that your rifle was produced in 1934-1935.
It will be date code stamped on the barrel, see related links for a diagram and charge to understand the stamping.
Impossible to answer without the serial number.
1914
Manufactured 1927
Impossible to answer without the sn.
1920
1920
Made 1912
I BELEIVE YOU HAVE A MODEL 241. IS THIS RIGHT??
1930's.
1913
Manufactured 1913
1917