mathslover
Calendar concept ..
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mathslover
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@annas and @angela210793
mathslover
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for example : november 9 , 1991
mathslover
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1990 = 1600 + 300 + 0
mathslover
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odd days in 1600 = 0 and in 300 = 1 .. hence we get total odd days in 1900 = 1
mathslover
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now calculate the total number of days from 1.1.1991 to 9.11.1991
mathslover
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since 1991 is not a leap year hence we have days in february = 28
31 + 28 + 31 + 30 + 31 + 30 + 31 + 31 + 30 + 31 + 9 = 313
divide that by 7
we get remainder = 5
hence total number of odd days = 1 + 5 = 6
mathslover
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Monday Tuesday Wednesday Thursday Friday Saturday Sunday
1 2 3 4 5 6 7
total number of odd days = 6
hence on 9 november 1991 it was saturday
mathslover
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@annas right?
angela210793
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Very niice :D
mathslover
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yes it is a very nice process also
mathslover
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useful process
annas
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O.o i m shocked ... but awesome
mathslover
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:) thanks
annas
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we can make a computer program on that
annas
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logic
mathslover
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yes .. can u?
annas
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i can try , i have to make an algorithm on that first. i'll try as soon as my website work is done
mathslover
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oh k
nitz
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but i didnt get.......
mathslover
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what is ur date of birth .. i will take urs as an example
nitz
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15 july 1992
mathslover
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ok so first of all :
1992 = 1600 + 300 + 2 right?
nitz
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wait always we have to break into 1600 +........so on
mathslover
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yes it becomes easy
mathslover
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wait we will take 1991 here:
1991 = 1600+300+1
1600 = 0 odd days
300 = 1 odd day
1 = 1 odd day
now calculate the number of days from 1.1.1992 to 15.07.1992
31+29+31+30+31+30+15 = 197
divide 197 by 7
remainder = 1
hence total number of odd days = 1 + 1 + 1 = 3
mathslover
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hence the day on 15 july 1992 = wednesday
mathslover
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got it ? @nitz
nitz
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wait...
nitz
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300........1 odd day??
mathslover
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yes
mathslover
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Number of odd days in 300 years = (5 x 3) =15/7 = remainder = 1 odd day.
mathslover
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we can write 300 = (100)*3
number of odd days in 100 = 5 and hence in 300 it will be 5*3 = 15 / 7 remainder = 1
mathslover
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got it?
mathslover
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100 years = 76 ordinary years + 24 leap years
= (76 x 1 + 24 x 2) odd days = 124 odd days.
= (17 weeks + days) 5 odd days.
Number of odd days in 100 years = 5.
nitz
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leave it ........i am getting confused
anyways thank you,,,,,,,
mathslover
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this is a confusing topic
no problem
nitz
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i learnt some simple tricks like 85^2,125^2......
mathslover
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85^2 = (90-5)^2 = 8100+25-900 = 8125-900 = 7225
mathslover
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well wait lemme show u the shortcut one also
nitz
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\[85^{2}=?\]
firstly mutiply last two :5*5=25
then multiply first digit that is 8*9=72
so 7225
mathslover
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:D right
nitz
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i have multiplied first digit with a digit exceeding it....8*9=72
mathslover
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125^2 = 5^2
12*13=156
15625 = 125^2
nitz
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ya....
nitz
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even for 11....
say 49*11 we have
9 as it is
4+9=13
i carry off and4+1=5
so 539
lgbasallote
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...i dont get it...
mathslover
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should i give u another example?
mathslover
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@lgbasallote so lemme take this as an example :
what is the day on 06-8-2012 ?
ok?
lgbasallote
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yeah sure
mathslover
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ok so 2011 = 1600 + 300 + 111 right ?
lgbasallote
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but you're looking for 2012...
mathslover
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yes but we will calculate odd days in 2011 years and then from 01-08-2012 to 06-08-2012
mathslover
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since 2012 is not a complete year hence we are taking 2011 there. . ok?
lgbasallote
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go on
mathslover
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wait i am making it soo long sorry
mathslover
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ok so .. 2011 = 1600 + 300 + 100+10+1
odd days in 1600 = 0 , in 300 = 1 and in 111= 5
now : count the total number of days from 1.1.2012 to 6.8.2012 :
31+29+31+30+31+30+31+6 = 219
divide 219 by 7 : we get remainder as 2
hence total number of odd days : 5 + 1 + 2 = 6 + 2 = 8
now : 8 days / 7 = remainder = 1
hence finally 1 odd day that denotes that the day on 06.08.2012 is monday
monday
mathslover
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Made it short :D ..
well do you know the exact meaning of odd days?
mathslover
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well do you know understand what this concept is?
any more questions
lgbasallote
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what do you mean 0 odd days in 1600; 1 in 300 and 5 in 111
mathslover
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hint :
1 ordinary year = 52 weeks + 1 day
hence that 1 day is odd day =1
Yahoo!
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@mathslover can u expl this to me
mathslover
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No problem what is ur date of birth ?
mathslover
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ok . so
1995 = 1600 + 300 + 5
right?
mathslover
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oops wait it is :
1995 = 1600 + 300 + 95 right?
Yahoo!
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it is 1996
mathslover
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1996 is not a full year .. hence we will take 1995 there .. ok?
Yahoo!
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wat do u mean by full year
Yahoo!
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wat do u mean by full year
Yahoo!
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@mathslover
mathslover
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full year means that : 365 days
in 1996 you dont have 365 days as ur birthday is on 11 - 03 .. got it?
Yahoo!
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ok
mathslover
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now
no. of odd days in 1600 =0 in 300 = 1 and in 95 =6
count days from 1.1.1996 to 11.03.1996
31+29+11 = 71
71/7 = remainder = 1
total odd days = 6+1+1 = 8
hence on 11.03.1996 it was monday
mathslover
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95/4 = 23 ..
hence 95 years = 23 leap years + 72 ordinary years
odd days in 95 years = 23*2 + 72*1=46+72 = 118
118/7 = remainder = 6
mathslover
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got it @Yahoo! ?
Yahoo!
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u r correct....
mathslover
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thanks
Yahoo!
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@mathslover Any video on this topic
mathslover
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well not yet but lemme check it
mathslover
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good question :
for example :
1 ordinary year has 365 days
there are totally 52 weeks and 1 day ..
that 1 day is called odd day
RyanL.
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Can you explain why the mayan calendar says the world is going to end this year?
mathslover
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well that are superstitions , only mayan calendar can explain sorry
ParthKohli
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@RyanL. It has been assumed that the world will end just because 2012 is the last year mentioned in Mayan Calendar.