Calendar concept ..

- mathslover

Calendar concept ..

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- mathslover

@annas and @angela210793

- mathslover

for example : november 9 , 1991

- mathslover

1990 = 1600 + 300 + 0

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- mathslover

odd days in 1600 = 0 and in 300 = 1 .. hence we get total odd days in 1900 = 1

- mathslover

now calculate the total number of days from 1.1.1991 to 9.11.1991

- mathslover

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

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

@annas right?

- angela210793

Very niice :D

- mathslover

yes it is a very nice process also

- mathslover

useful process

- anonymous

O.o i m shocked ... but awesome

- mathslover

:) thanks

- anonymous

we can make a computer program on that

- anonymous

logic

- mathslover

yes .. can u?

- anonymous

i can try , i have to make an algorithm on that first. i'll try as soon as my website work is done

- mathslover

oh k

- anonymous

but i didnt get.......

- mathslover

what is ur date of birth .. i will take urs as an example

- anonymous

15 july 1992

- mathslover

ok so first of all :
1992 = 1600 + 300 + 2 right?

- anonymous

wait always we have to break into 1600 +........so on

- mathslover

yes it becomes easy

- mathslover

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

hence the day on 15 july 1992 = wednesday

- mathslover

got it ? @nitz

- anonymous

wait...

- anonymous

300........1 odd day??

- mathslover

yes

- mathslover

Number of odd days in 300 years = (5 x 3) =15/7 = remainder = 1 odd day.

- mathslover

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

got it?

- mathslover

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.

- anonymous

leave it ........i am getting confused
anyways thank you,,,,,,,

- mathslover

http://www.indiabix.com/aptitude/calendar/formulas

- mathslover

this is a confusing topic
no problem

- anonymous

i learnt some simple tricks like 85^2,125^2......

- mathslover

85^2 = (90-5)^2 = 8100+25-900 = 8125-900 = 7225

- mathslover

well wait lemme show u the shortcut one also

- anonymous

\[85^{2}=?\]
firstly mutiply last two :5*5=25
then multiply first digit that is 8*9=72
so 7225

- mathslover

:D right

- anonymous

i have multiplied first digit with a digit exceeding it....8*9=72

- mathslover

125^2 = 5^2
12*13=156
15625 = 125^2

- anonymous

ya....

- anonymous

even for 11....
say 49*11 we have
9 as it is
4+9=13
i carry off and4+1=5
so 539

- lgbasallote

...i dont get it...

- mathslover

should i give u another example?

- mathslover

@lgbasallote so lemme take this as an example :
what is the day on 06-8-2012 ?
ok?

- lgbasallote

yeah sure

- mathslover

ok so 2011 = 1600 + 300 + 111 right ?

- lgbasallote

but you're looking for 2012...

- mathslover

yes but we will calculate odd days in 2011 years and then from 01-08-2012 to 06-08-2012

- mathslover

since 2012 is not a complete year hence we are taking 2011 there. . ok?

- lgbasallote

go on

- mathslover

wait i am making it soo long sorry

- mathslover

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

Made it short :D ..
well do you know the exact meaning of odd days?

- mathslover

well do you know understand what this concept is?
any more questions

- lgbasallote

what do you mean 0 odd days in 1600; 1 in 300 and 5 in 111

- mathslover

hint :
1 ordinary year = 52 weeks + 1 day
hence that 1 day is odd day =1

- anonymous

@mathslover can u expl this to me

- mathslover

No problem what is ur date of birth ?

- mathslover

ok . so
1995 = 1600 + 300 + 5
right?

- mathslover

oops wait it is :
1995 = 1600 + 300 + 95 right?

- anonymous

it is 1996

- mathslover

1996 is not a full year .. hence we will take 1995 there .. ok?

- anonymous

wat do u mean by full year

- anonymous

wat do u mean by full year

- anonymous

@mathslover

- mathslover

full year means that : 365 days
in 1996 you dont have 365 days as ur birthday is on 11 - 03 .. got it?

- anonymous

ok

- mathslover

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

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

got it @Yahoo! ?

- anonymous

u r correct....

- mathslover

thanks

- anonymous

@mathslover Any video on this topic

- mathslover

well not yet but lemme check it

- mathslover

sorry no .. @Yahoo!
http://www.indiabix.com/aptitude/calendar/
prefer this

- mathslover

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

- anonymous

Can you explain why the mayan calendar says the world is going to end this year?

- mathslover

well that are superstitions , only mayan calendar can explain sorry

- ParthKohli

@RyanL. It has been assumed that the world will end just because 2012 is the last year mentioned in Mayan Calendar.

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