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Math Help - logical math problem?

  1. #1
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    Aug 2009
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    logical math problem?

    Hello everyone,

    I don't know much math,but I've been working on a few simple problems and here's one question that has been bothering me for awhile,

    Question:

    In 1970,I began collecting calendars and I have done so every year since.I will cease collecting when every subsequent year can be served by one,at least,of the calendars I have already collected.What is the last year in which I must collect the calendar ?
    (ans: 1996)


    I guess I should be looking for some sort of pattern here,but I just don't see one.
    Should I be considering leap years here?
    Erm...I really really don't know what I should do...

    Hope someone can help.
    Thank you.
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  2. #2
    Super Member
    Joined
    Jan 2009
    Posts
    591
    Quote Originally Posted by hana View Post
    Hello everyone,

    I don't know much math,but I've been working on a few simple problems and here's one question that has been bothering me for awhile,

    Question:

    In 1970,I began collecting calendars and I have done so every year since.I will cease collecting when every subsequent year can be served by one,at least,of the calendars I have already collected.What is the last year in which I must collect the calendar ?
    (ans: 1996)


    I guess I should be looking for some sort of pattern here,but I just don't see one.
    Should I be considering leap years here?
    Erm...I really really don't know what I should do...

    Hope someone can help.
    Thank you.
    For NON Leap year calendars:
    January 1 can start on Sunday through Saturday.

    For Years that are Leap years:
    January 1 can start on Sunday through Saturday.

    You will need 14 calendars.
    List years from 1970 onward and identify the day of the week January 1 occurs and whether it is a leap year. After you have the 14 calendars you can stop.


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