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Math Help - year 2011 begins on saturday. in any day year 2020 will begin?

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    year 2011 begins on saturday. in any day year 2020 will begin?

    year 2011 begins on saturday. in any day year 2020 will begin?
    Last edited by mr fantastic; May 6th 2011 at 01:53 PM. Reason: Re-titled.
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    Quote Originally Posted by fxs12 View Post
    year 2011 begins on saturday. in any day year 2020 will begin?
    I am assumeing you mean on what day.

    Assumption 1 there are 365 days per year

    Assumption 2 2012 and 2016 are leap years so they have one extra day.

    This gives that there are

    9 \cdot 365+2= 3287

    days until 2020 begins now if we mod out by 7 we get

    3287 \mod (7)=4

    so ...
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    Re: year 2011 begins on saturday. in any day year 2020 will begin?

    year 2011 begins on saturday. in any day year 2020 will begin?
    1 st Jan 2011 on Saturday
    for every normal year, 1 st Jan shifted 1 day ahead but
    in case of leap year it is shifted 2 days ahead.
    so from 2011 to 2020 there are 2012, 2016 and 2020 are leap years
    but in 2012, we are not crossing month of February.
    so there are only 2 leap years
    so total number of days = 9 + 2 = 11
    divide 11 by 7 and find remainder
    remainder = 4
    so 1 jan 2020 will be on Saturday + 4 = Wednesday
    ----
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