Results 1 to 5 of 5

Math Help - Finding the Day of a year

  1. #1
    Senior Member Mukilab's Avatar
    Joined
    Nov 2009
    Posts
    468

    Finding the Day of a year

    "One year in the 1990s January 1st fell on a Monday. 11 years later, January 1st was also on a Monday. How many times did February 29th occur during those years"?

    Sorry but I don't have any working out because I'm completely befuddled by this.

    I don't know how to work out if a year started with a Monday or otherwise, does anyone know how?

    And I also don't know what's so special about February the 29th? Is it just a normal date and Im being cynical?
    Follow Math Help Forum on Facebook and Google+

  2. #2
    MHF Contributor
    Joined
    Oct 2009
    Posts
    5,527
    Thanks
    773
    The 11 years in question must comprise a whole number of weeks. Suppose n of those 11 years were leap years. Then 365 * 11 + n is divisible by 7. Since leap years occur every four years, n is certainly less than 7. From here, n = 3.

    Indeed, January 1st fell on a Monday on 1990, 1996, 2001 and 2007. Between 1990 and 2001, the following were leap years: 1992, 1996 and 2000. Between 1996 and 2007, the following were leap years: 1996, 2000 and 2004.
    Follow Math Help Forum on Facebook and Google+

  3. #3
    MHF Contributor

    Joined
    Apr 2005
    Posts
    15,531
    Thanks
    1389
    What is so special about Feb. 29? It is "leap year day"! Three out of every four years, Febuary has only 28 days. The fourth year, the year that is divisible by 4, specifically 1992, 1996, and 2000, February has 29 days.
    Follow Math Help Forum on Facebook and Google+

  4. #4
    Member Pranas's Avatar
    Joined
    Oct 2010
    From
    Europe. Lithuania.
    Posts
    81
    To be precise, I believe a year will be a leap year if it is divisible by 4 but not by 100 (unless it is also divisible by 400).
    Consequently 2000 is a leap year while 1700, 1800, 1900 I believe are not.
    Follow Math Help Forum on Facebook and Google+

  5. #5
    Senior Member
    Joined
    Nov 2010
    From
    Staten Island, NY
    Posts
    451
    Thanks
    2
    Pranas, that is correct.
    Follow Math Help Forum on Facebook and Google+

Similar Math Help Forum Discussions

  1. Replies: 2
    Last Post: February 3rd 2013, 06:48 AM
  2. Replies: 3
    Last Post: November 12th 2011, 10:57 AM
  3. [SOLVED] help finding profit for previous year
    Posted in the Business Math Forum
    Replies: 6
    Last Post: August 16th 2011, 08:24 AM
  4. Replies: 3
    Last Post: April 11th 2009, 09:01 AM
  5. Mutual Funds - finding the dividend of upcoming year
    Posted in the Business Math Forum
    Replies: 0
    Last Post: November 11th 2008, 11:58 AM

Search Tags


/mathhelpforum @mathhelpforum