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Mathematics 9 Online
mathslover (mathslover):

Calendar concept ..

mathslover (mathslover):

@annas and @angela210793

mathslover (mathslover):

for example : november 9 , 1991

mathslover (mathslover):

1990 = 1600 + 300 + 0

mathslover (mathslover):

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

mathslover (mathslover):

now calculate the total number of days from 1.1.1991 to 9.11.1991

mathslover (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 (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 (mathslover):

@annas right?

OpenStudy (angela210793):

Very niice :D

mathslover (mathslover):

yes it is a very nice process also

mathslover (mathslover):

useful process

OpenStudy (anonymous):

O.o i m shocked ... but awesome

mathslover (mathslover):

:) thanks

OpenStudy (anonymous):

we can make a computer program on that

OpenStudy (anonymous):

logic

mathslover (mathslover):

yes .. can u?

OpenStudy (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 (mathslover):

oh k

OpenStudy (anonymous):

but i didnt get.......

mathslover (mathslover):

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

OpenStudy (anonymous):

15 july 1992

mathslover (mathslover):

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

OpenStudy (anonymous):

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

mathslover (mathslover):

yes it becomes easy

mathslover (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 (mathslover):

hence the day on 15 july 1992 = wednesday

mathslover (mathslover):

got it ? @nitz

OpenStudy (anonymous):

wait...

OpenStudy (anonymous):

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

mathslover (mathslover):

yes

mathslover (mathslover):

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

mathslover (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 (mathslover):

got it?

mathslover (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.

OpenStudy (anonymous):

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

mathslover (mathslover):

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

mathslover (mathslover):

this is a confusing topic no problem

OpenStudy (anonymous):

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

mathslover (mathslover):

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

mathslover (mathslover):

well wait lemme show u the shortcut one also

OpenStudy (anonymous):

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

mathslover (mathslover):

:D right

OpenStudy (anonymous):

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

mathslover (mathslover):

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

OpenStudy (anonymous):

ya....

OpenStudy (anonymous):

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

OpenStudy (lgbasallote):

...i dont get it...

mathslover (mathslover):

should i give u another example?

mathslover (mathslover):

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

OpenStudy (lgbasallote):

yeah sure

mathslover (mathslover):

ok so 2011 = 1600 + 300 + 111 right ?

OpenStudy (lgbasallote):

but you're looking for 2012...

mathslover (mathslover):

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

mathslover (mathslover):

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

OpenStudy (lgbasallote):

go on

mathslover (mathslover):

wait i am making it soo long sorry

mathslover (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 (mathslover):

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

mathslover (mathslover):

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

OpenStudy (lgbasallote):

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

mathslover (mathslover):

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

OpenStudy (anonymous):

@mathslover can u expl this to me

mathslover (mathslover):

No problem what is ur date of birth ?

mathslover (mathslover):

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

mathslover (mathslover):

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

OpenStudy (anonymous):

it is 1996

mathslover (mathslover):

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

OpenStudy (anonymous):

wat do u mean by full year

OpenStudy (anonymous):

wat do u mean by full year

OpenStudy (anonymous):

@mathslover

mathslover (mathslover):

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

OpenStudy (anonymous):

ok

mathslover (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 (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 (mathslover):

got it @Yahoo! ?

OpenStudy (anonymous):

u r correct....

mathslover (mathslover):

thanks

OpenStudy (anonymous):

@mathslover Any video on this topic

mathslover (mathslover):

well not yet but lemme check it

mathslover (mathslover):

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

mathslover (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

OpenStudy (anonymous):

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

mathslover (mathslover):

well that are superstitions , only mayan calendar can explain sorry

Parth (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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