The calendar for the year 1975 will be the same as the calendar for which of these years?

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1986. Two years share the same calendar only if two conditions both hold. First, 1 January falls on the same day of the week in both years. Second, both years are the same type — both leap or both ordinary — so February lines up too. 1 January 1975 falls on a Wednesday, and 1975 is an ordinary year. Between 1975 and 1986 there are 8 ordinary year(s) and 3 leap year(s). An ordinary year contributes 1 odd day and a leap year contributes 2. The total shift is (8×1 + 3×2) mod 7 = 0 day(s). A shift of 0 means 1 January 1986 falls on the same day, Wednesday, satisfying condition one. 1986 is an ordinary year, matching 1975's type, satisfying condition two. 1986 is the first later year meeting both conditions, so the calendar for 1975 repeats there.

The calendar for the year 1975 will be the same as the calendar for which of these years?

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