Question

Which year earlier to $2003$ had the same calendar as that of the year $2003$ ?

• A. $1991$
• B. $1995$
• C. $1996$
• D. $1997$
• E. $1998$

Answer 1

The correct option is D $1997$

Count the number of odd days backwards starting from the year 2002 to get the sum equal to 0 odd days. The odd days in the different year are calculated as:
2002 - 1 odd day,
2001 - 1 odd day,
2000(leap year) - 2 odd day,
1999 - 1 odd day,
1998 - 1 odd day and
1997 - 1 odd day
Total days = 1 + 1 + 2 +1 + 1 + 1 = 7 days or 1 week or 0 odd day.
Hence, the calendar of the year 1997 will be the same as that of 2003.