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It is not practical to go right back in the past or infinitely in the future. So let's look at the 20th and 21st century. For those, the 31st of December is on a Saturday in the following years:

1904

1910

1921

1927

1932

1938

1949

1955

1960

1966

1977

1983

1988

1994

2005

2011

2016

2022

2033

2039

2044

2050

2061

2067

2072

2078

2089

2095

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Q: Years that Dec 31 falls on a Saturday?
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