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Mathematics 19 Online
OpenStudy (ikram002p):

Tomorrow (Monday) is a leap day, next leap day will be on ...... ? "using calculation only".

OpenStudy (ikram002p):

All methods are welcome!!!

OpenStudy (dan815):

k lol lemme think again xD i rushed

OpenStudy (ikram002p):

sure...

OpenStudy (dan815):

saturday

OpenStudy (ikram002p):

=D

OpenStudy (dan815):

i cheated lol

OpenStudy (ikram002p):

lol

OpenStudy (ikram002p):

fo

OpenStudy (dan815):

hahahaha

OpenStudy (dan815):

i wondfer hwat happened in my first solution though

OpenStudy (dan815):

it shudda been right!

OpenStudy (dan815):

monday is 29th 306 puts u on december 31 then 3*365 + 60 puts u back on feb 29th so thats (4*365+1) mod 7 = 5 mod 7 mon + 5days = saturday

OpenStudy (dan815):

oh lol i typed wrong number into calculator and got 4 days for that division

OpenStudy (ikram002p):

xD

Parth (parthkohli):

(3*365 + 366) == 5 (mod 7) so is it a saturday?

OpenStudy (qwertty123):

I am back! :/ My computer froze on me! :(

OpenStudy (watermelon_talk):

lol, SMART PEOPLE!!! YOU GOT TO LOVE THEM ! XD @ParthKohli @pooja195 @dan815 @ikram002p @everyone

OpenStudy (qwertty123):

Okay so we know...February 27th, 2017 is a Monday. It is the 58th day of the year, and in the 9th week of the year (assuming each week starts on a Sunday), or the 1st quarter of the year. There are 28 days in this month. 2017 is not a leap year, so there are 365 days in this year. The short form for this date used in the United States is 2/27/2017, and almost everywhere else in the world it's 27/2/2017...

OpenStudy (qwertty123):

@ParthKohli and @dan815 are RIGHT! :D

OpenStudy (serenity74):

friday 2020

OpenStudy (serenity74):

no they both are wrong actually. Monday +4days NOT 5days. Since this year it's on 2016 monday and another leap year happens in 2020 WHICH IS 4 YEARS. The days would be Monday +4days NOT Monday +5days....just saying....

OpenStudy (serenity74):

No wait.....You don't count monday -_- so it is a Saturday -_-

ganeshie8 (ganeshie8):

Is it easy to find the next leap year which matches all the days with 2016 ?

Parth (parthkohli):

seven leap years...

ganeshie8 (ganeshie8):

that simple ?

Parth (parthkohli):

each leap year adds 5 (mod 7) so you'll have to have it seven times to get back to the same day

ganeshie8 (ganeshie8):

are you also accounting for that 400 years thingy ?

Parth (parthkohli):

nope.

Parth (parthkohli):

thankfully, the next such leap year will only be in 35 years so that 100 years and 400 years thing will not kick in

ganeshie8 (ganeshie8):

Years 2016 and 2016 + 7*4 will have the same day names for all calendar dates ?

Parth (parthkohli):

if a leap year is skipped, then the next leap day will be 7*365 + 366 (mod 7) == 2 (mod 7)

Parth (parthkohli):

for 2016 and 2016 + 7*4 yes, that should be true

OpenStudy (mathmale):

Hope we're not overlooking the fact that the next Leap Year will be 2020.

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