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How often can a leap year have fifty-three Tuesdays?

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Answer

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07/13/2015

Two out of every seven leap years will have 53 Tuesdays. If it starts on a Monday or a Tuesday, it will have 53 Tuesdays. It works out at every 12th and 16th year alternating, as you can see from this list, covering the 20th and 21st centuries:

Monday 1 January 1912

Tuesday 1 January 1924

Monday 1 January 1940

Tuesday 1 January 1952

Monday 1 January 1968

Tuesday 1 January 1980

Monday 1 January 1996

Tuesday 1 January 2008

Monday 1 January 2024

Tuesday 1 January 2036

Monday 1 January 2052

Tuesday 1 January 2064

Monday 1 January 2080

Tuesday 1 January 2092