If 18 October 2006 was Wednesday, then what was the day of the week on 17 October 2000?
Answer & explanation
Correct answer: option 4
The correct answer is Option (4) → Tuesday
The weekday repeats every 7 days, so only the odd days, the days left over after whole weeks, shift it. A year of 365 days has 1 odd day; a year containing 29 February has 366 days and 2 odd days.
18 October 2006 is Wednesday, so 17 October 2006 is Tuesday
From 17 October 2000 to 17 October 2006 there are 6 years:
Five of them have 365 days: 5 odd days
17 October 2003 to 17 October 2004 includes 29 February 2004: 2 odd days
Total \(5+2=7\) odd days, that is 0 odd days, so the weekday does not change
17 October 2000 therefore fell on the same day as 17 October 2006, Tuesday.