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Going from the start of the 20th century to 2015, the 28th of September was a Saturday in 1901, 1907, 1912, 1918, 1929, 1935, 1940, 1946, 1957, 1963, 1968, 1974, 1985, 1991, 1996, 2002, and 2013. It will next be a Saturday in 2019.

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Q: What years did September 28 fall on a Saturday?
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