If 26 February 2005 was a Saturday, then what day of the week was 27 January 2003?
Answer & explanation
Correct answer: option 2
The correct answer is Option (2) → Monday
The weekday repeats every 7 days, so only the odd days, the days left over after whole weeks, move it. A year of 365 days has 1 odd day and a year of 366 days has 2. Counting from 27 January 2003 up to 26 February 2005:
27 January 2003 to 27 January 2004: 365 days (no 29 February in between), 1 odd day
27 January 2004 to 27 January 2005: 366 days (29 February 2004 falls in between), 2 odd days
27 January 2005 to 26 February 2005: 30 days, 2 odd days
Total: \(1+2+2=5\) odd days
So 26 February 2005 falls 5 days of the week after 27 January 2003. Counting 5 days back from Saturday (Friday, Thursday, Wednesday, Tuesday, Monday), 27 January 2003 was a Monday.