In 2004, there were 5 Sundays in February. What are the last two digits of the next year in which this will occur?

(Thinking)

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- July 29th 2008, 11:04 PMclarebear14When is the next february with 5 sundays?
In 2004, there were 5 Sundays in February. What are the last two digits of the next year in which this will occur?

(Thinking) - July 30th 2008, 03:09 AMkalagota
this means that Feb1 2004 is a Sunday..

Now, notice that, every leap year, Feb1 moves 2 days backward from the present leap year to the next leap year.

Since the number of days in a week is 7, it will need 7 leap years from 2004 so that Feb1 occurs on a Sunday again.

so, 7 times 4 = 28 years, therefore the next year that Feb has 5 Sundays will be on 2032.