On 9th January, 2038, Saturday falls. What day of the week was it on 9th January, 2037?

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Friday. The known date is 9th January, 2038, a Saturday. We need the same calendar date exactly one year earlier, in 2037. 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 2037. 2037 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 Saturday gives Friday. Check: 9th January, 2037 is indeed a Friday.

On 9th January, 2038, Saturday falls. What day of the week was it on 9th January, 2037?

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