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

• May 6th 2011, 08:09 AM
fxs12
year 2011 begins on saturday. in any day year 2020 will begin?
year 2011 begins on saturday. in any day year 2020 will begin?
• May 6th 2011, 08:16 AM
TheEmptySet
Quote:

Originally Posted by fxs12
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

$\displaystyle 9 \cdot 365+2= 3287$

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

$\displaystyle 3287 \mod (7)=4$

so ...
• Feb 3rd 2013, 06:48 AM
pspss
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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