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  #51  
Old Friday, March 27, 2009
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Pleasure, Mohsin.

Let me make it more clear.

When a day (a day = one day) after Monday is Tuesday
then
Two days after Monday is Wednesday.


Perhaps the most common example of the use of modular arithmetic is the way that we work with the days of the week.When we try to work out what day of the week something will happen on we often make calculations such as "Two days after Tuesday is Thursday". We could write this in a pseudo-mathematical way as follows:
Tuesday + 2 = Thursday.

 Similarly, we might say that "Four days after Wednesday is Sunday". In other words:
Wednesday + 4 = Sunday.

 So far so good. But what happens when our calculation reaches beyond the end of the week? Well... that's not exactly a problem is it?

"Three days after Friday is Monday". Granted it will be Monday of the following week but if we are just interested in what day it is then this doesn't matter. So
Friday + 3 = Monday.

 Subtraction is just as easy: "Two days before Thursday is Tuesday". That is:
Thursday - 2 = Tuesday.

 What happens when a subtraction strays into the week before? We can do that as well, can't we? "Fourdays before Wednesday is Saturday". Again, we are ignoring what week it is and are only interested in the day. Pseudo-mathematically:
Wednesday - 4 = Saturday.

 Finally, "Seven days before Friday is Friday". That is:
Friday - 7 = Friday.

If we now number the days of the week starting at 0, we have:Monday=0, Tuesday=1, Wednesday=2, Thursday=3, Friday=4, Saturday=5 and Sunday=6.

 It is now possible to write all our previous pseudo-mathematical equations as equations featuring the numbers 0,1, 2, 3, 4, 5 and 6.

Pseudo-maths ................................... Modular Arithmetic

Tuesday + 2 = Thursday ......................... (1 + 2 = 3)
Wednesday+ 4 = Sunday........................ (2 + 4 = 6)
Friday + 3 = Monday............................... (4 + 3 = 0)
Thursday - 2 = Tuesday........................... (3 - 1 = 2)
Wednesday- 4 = Saturday....................... (2 - 4 = 5)
Friday - 7 = Friday .................................. (4 - 7 = 4)

Calculating the day of the week is an example of modulo 7 (often abbreviated to mod 7) arithmetic. It is just like normal arithmetic except that you "wrap around" when you reach 7. In other words you treat 7 as beginning again at 0.
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  #52  
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I agree with you experts and it will be pleasure for me if you all correct me time to time and time and again.You all must be born in the UK.

regards
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Thanx Last Island

@ All

You see guys
That's why I referred the problem to her
I must rephrase my earlier comment

Quote:
Originally Posted by MohsinShah
P.S : I referred the matter to Last Island as I believed her to have some authority on English Literature and may be on grammar as well
Now I must add some Modular Arithmetic in the list as well

P.S - Last Island, do let me know what was you query in google to get that result .... I tried for a while but couldn't find Share your google cheat sheet
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  #54  
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Quote:
Originally Posted by dr.atifrana
I agree with you experts and it will be pleasure for me if you all correct me time to time and time and again.You all must be born in the UK.

regards

@dr.atifrana

It's good habit. Debate until you grasp the core concept. Don't agree on any thing without understanding it.


@Last Island: Good explanation.
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  #55  
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@ Dr Atif

Dont know what made u angry but i apologize if i said something wrong or hurt you.
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  #56  
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@Mis L I
DON,T take it serious.I was just kidding.

I respect you all with the depth of my heart.
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  #57  
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Ok Let's play again

Q 1 Why do women wear the watch on their right hands and men on their left ?

Q 2 Use each letter of the phrase CLEAR TRIUMPH PATTERN
once only to produce the names of three musical instruments.

Q 3 If Milly gives Tilly £60 the money they have is in the ratio
2:1; however, if Tilly gives Milly £10 the ratio is 1:3. How
much money have Milly and Tilly before they exchange any
money?

Que 4 Change the position of three words only in the sentence
below in order for it to make complete sense.

Imaginary in the Middle Ages, a Bestiary is a type of book
that purports to describe all the animals in creation, real or
human, and the popular traits they exemplify.

Que 5 A bag of potatoes weighs 50 lbs divided by half of its weight.
How much does the bag of potatoes weigh? (I could not solve this one ... what is the initial value of weight??)

Que 6



Enjoy !!!
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Q 1 Why do women wear the watch on their right hands and men on their left ?

Ans. Is it for watching time? I think its the only reason behind the scene.



Que 6




A

The Remaining ones are left for other members, I think I should give some opportunity to all of you guys, as well.
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  #59  
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Assalam-u-Alaikum to all,

[B]
Quote:
Originally Posted by MohsinShah
Q 3 If Milly gives Tilly £60 the money they have is in the ratio 2:1; however, if Tilly gives Milly £10 the ratio is 1:3. How
much money have Milly and Tilly before they exchange any
money?
Mily had Pound = 620 & Tilly = 220
when Milly givees 60 Pounds to tilly than
Milly remained with 620-60 = 560 & tilly = 220+60 = 280 pounds
280*2=560 hence 2:1

when Tilly givees 10 Pounds to Milly than
Tilly remained with 220-10 = 210 & tilly = 620+10 = 630 pounds
210*3=630 hence 1:3

Quote:
Que 4 Change the position of three words only in the sentence
below in order for it to make complete sense.
Imaginary in the Middle Ages, a Bestiary is a type of book
that purports to describe all the animals in creation, real or
human, and the popular traits they exemplify.
POPULAR in the middle Ages, a Bestiary is a type of book
that purports to describe all the animals in creation, real or
IMAGINARY, and the HUMAN traits they exemplify.


Quote:
Que 5- A bag of potatoes weighs 50 lbs divided by half of its weight.
How much does the bag of potatoes weigh? (I could not solve this one ... what is the initial value of weight??)
Me unable to understand the question
If anything divided by its half, the answer is 2, than how come its 50lbs.....

Quote:
Que 6
Figure B & C
Take a little paper and cut it like the unfolded figure, after drawing lines and circles fold it and match with 5 folded figures.
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  #60  
Old Friday, March 27, 2009
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Quote:
Que 5 A bag of potatoes weighs 50 lbs divided by half of its weight.
How much does the bag of potatoes weigh? (I could not solve this one ... what is the initial value of weight??)
Answer = 10 lbs


50 lbs divided by half of its weight

50 '/. 1/2 x = x

(Changing the signs)

(50 X 2) / x = x

100 / x = x

(Multiply both side by x)

100 = x^2

(getting square root of both sides)

x = 10

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