If October 10, 2023 was a Tuesday, then what day of the week was December 23, 2023 ?
Saturday
The day of the week repeats every 7 days, so the weekday of a later date is found by counting the days in between and taking the remainder on division by 7 (the odd days).
Step 1 — Days from 10 October to 23 December 2023: October 11–31 gives 21 days, November gives 30 days and December 1–23 gives 23 days, a total of 21 + 30 + 23 = 74 days.
Step 2 — Odd days: \(74 = 7 \times 10 + 4\), so 4 odd days.
Step 3 — Tuesday + 4 days = Wednesday, Thursday, Friday, Saturday, so 23 December 2023 fell on Saturday.
Wednesday would need 1 odd day, Friday 3 and Sunday 5; none matches the 4 odd days, so these and the remaining choice do not apply.
Saturday option is correct.
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