The memorial day of the 100th anniversary of the foundation of A junior high school is October 24, 2027.
When the years are a multiple of 4 when the years of A.D. cannot be divided by 100, it is a leap year.
January 31, 2004 is Saturday.
When February 1, 2004 is set to the 1st day, what number is October 24, 2027? and what day of the week is it?
Answer
8667th day
Sunday
Solution
There is no year which the year can be divided by 100 from 2004 to 2027.
2027 - 2003 = 24 and if 24 is divided by 4, the number of times of a leap year can be found.
24 / 4 = 6 and there are six leap years.
Thus, number of days from February 1, 2004 to January 31, 2027 are (2027 - 2004) × 365 + 6 = 8401 days.
Number of days from February 1, 2027 to October 24, is 28(February) + 31(March) + 30(April) + 31(May) + 30(June) + 31(July) + 31(August) + 30(September) + 24(October) = 266 days.
It is in total, there are 8401 + 266 = 8667 days until October 24, 2027.
February 1, 2004 is Sunday.
Calculation is made assuming that Sunday is the 1st day and Saturday is the last day in the week, it is 8667 / 7 = 1238 remainder 1.
Remainder 1 means that October 24, 2027 is the 1st day of one week of beginning on Sunday.
Therefore, it is Sunday.
When the years are a multiple of 4 when the years of A.D. cannot be divided by 100, it is a leap year.
January 31, 2004 is Saturday.
When February 1, 2004 is set to the 1st day, what number is October 24, 2027? and what day of the week is it?
8667th day
Sunday
Solution
There is no year which the year can be divided by 100 from 2004 to 2027.
2027 - 2003 = 24 and if 24 is divided by 4, the number of times of a leap year can be found.
24 / 4 = 6 and there are six leap years.
Thus, number of days from February 1, 2004 to January 31, 2027 are (2027 - 2004) × 365 + 6 = 8401 days.
Number of days from February 1, 2027 to October 24, is 28(February) + 31(March) + 30(April) + 31(May) + 30(June) + 31(July) + 31(August) + 30(September) + 24(October) = 266 days.
It is in total, there are 8401 + 266 = 8667 days until October 24, 2027.
February 1, 2004 is Sunday.
Calculation is made assuming that Sunday is the 1st day and Saturday is the last day in the week, it is 8667 / 7 = 1238 remainder 1.
Remainder 1 means that October 24, 2027 is the 1st day of one week of beginning on Sunday.
Therefore, it is Sunday.
