On 11th October, 2039, Tuesday falls. What day of the week was it on 11th October, 2038?

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Monday. The known date is 11th October, 2039, a Tuesday. We need the same calendar date exactly one year earlier, in 2038. A gap of exactly one year is normally 1 odd day, but it is 2 odd days if a 29 February falls inside that gap. The year to check for that 29 February here is 2039. 2039 is not a leap year, so no 29 February falls inside the gap. So the shift between the two dates is 1 odd day(s). Going back 1 day(s) from Tuesday gives Monday. Check: 11th October, 2038 is indeed a Monday.

On 11th October, 2039, Tuesday falls. What day of the week was it on 11th October, 2038?

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