If 31 December 2023 was a Sunday, what day of the week will it be on 1 January 2034?
Answer & explanation
Correct answer: option 3
The correct answer is Option (3) → Sunday
The weekday repeats every 7 days, so only the odd days (the days left over after whole weeks) move it forward. An ordinary year of 365 days has 1 odd day and a leap year of 366 days has 2.
From 31 December 2023 to 31 December 2033 there are the 10 full years 2024 to 2033
Leap years among them: 2024, 2028 and 2032, that is 3
Odd days \(=7\times1+3\times2=13\), and 13 days \(=\) 1 week \(+\) 6 odd days
31 December 2033 is Sunday \(+\) 6 days \(=\) Saturday
1 January 2034, the next day, is Sunday