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

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

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

2. 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 ...

3. ## 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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