If the 3rd of June, 2003 was a Tuesday, then what would be the day of the week on the 10th of June 2012?
Answer & explanation
Correct answer: option 1
The correct answer is Option (1) → Sunday
The weekday repeats every 7 days, so only the odd days, the days left over after whole weeks, move it forward. A year of 365 days is 52 weeks + 1 day, so the same date one year later moves on by 1 weekday; it moves on by 2 when the year in between includes a 29 February.
From 3 June 2003 to 3 June 2012 (year by year):
3 June 2003 to 3 June 2004 includes 29 February 2004: 2 odd days
2004 to 2005, 2005 to 2006, 2006 to 2007: 1 odd day each, 3 in all
3 June 2007 to 3 June 2008 includes 29 February 2008: 2 odd days
2008 to 2009, 2009 to 2010, 2010 to 2011: 1 odd day each, 3 in all
3 June 2011 to 3 June 2012 includes 29 February 2012: 2 odd days
Total \(=2+3+2+3+2=12\) odd days, and \(12=7+5\), so 5 odd days
The day of the week:
3 June 2012 is Tuesday + 5 = Sunday
10 June 2012 is 7 days later, so it is also Sunday