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Remainder and remainder part

Shiv2016

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31 May 2017, 00:34

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Hi all

I have been solving some questions on remainder concept by using the remainder theorem but I am not able to understand that why do we say that the decimal part is the remainder part?

For example

x/y= 33.45

We say that 33 is the quotient part and .45 is the remainder part.

Why so?

Anyone....?

Thanks

Sangeeta2018

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31 May 2017, 01:03

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Hey @shiv2016, Decimal=(Remainder/Divisor)

Sent from my CP8298_I00 using GMAT Club Forum mobile app

abhimahna

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31 May 2017, 04:10

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Shiv2016

Hi all

I have been solving some questions on remainder concept by using the remainder theorem but I am not able to understand that why do we say that the decimal part is the remainder part?

For example

x/y= 33.45

We say that 33 is the quotient part and .45 is the remainder part.

Why so?

Anyone....?

Thanks

Hi Shiv2016 ,

I am sorry to say that your understanding of this topic is not correct.

When we say x/y = 33.45, then I can write it as

x/y = 33 + 0.45 or x = 33y + 0.45y. [NOTE THAT It is 0.45y and not 0.45]

Now, 0.45y is called the remainder when x is divided by y.

There is a very similar kind of question solved here: https://gmatclub.com/forum/for-positive ... 38378.html

Please have a look and let me know in case of any doubt.

Shiv2016

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31 May 2017, 04:23

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abhimahna

Shiv2016

Hi all

I have been solving some questions on remainder concept by using the remainder theorem but I am not able to understand that why do we say that the decimal part is the remainder part?

For example

x/y= 33.45

We say that 33 is the quotient part and .45 is the remainder part.

Why so?

Anyone....?

Thanks

Hi Shiv2016 ,

I am sorry to say that your understanding of this topic is not correct.

When we say x/y = 33.45, then I can write it as

x/y = 33 + 0.45 or x = 33y + 0.45y. [NOTE THAT It is 0.45y and not 0.45]

Now, 0.45y is called the remainder when x is divided by y.

There is a very similar kind of question solved here: https://gmatclub.com/forum/for-positive ... 38378.html

Please have a look and let me know in case of any doubt.

So we have converted this expression to remainder equation.

When x is divided by y, we get 33 as the quotient and 0.45y as the remainder.

It means: x/y= 33.45 is another way of writing this equation?

abhimahna

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31 May 2017, 04:29

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Shiv2016

So we have converted this expression to remainder equation.

When x is divided by y, we get 33 as the quotient and 0.45y as the remainder.

It means: x/y= 33.45 is another way of writing this equation?

Yes, I can say if x = 33y + 0.45y, then I can take y common as say x = (33 + 0.45 ) y.

=> x = 33.45y

=> x/y = 33.45. Hence, proved.

naorba

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07 Jun 2017, 06:22

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Shiv2016

Hi all

I have been solving some questions on remainder concept by using the remainder theorem but I am not able to understand that why do we say that the decimal part is the remainder part?

For example

x/y= 33.45

We say that 33 is the quotient part and .45 is the remainder part.

Why so?

Anyone....?

Thanks

Hey,

I would recommend you to first read these 2 posts to solidify understanding of the subject:

https://gmatclub.com/forum/how-to-solve-remainder-problems-142591.html?fl=similar

https://gmatclub.com/forum/compilation-of-tips-and-tricks-to-deal-with-remainders-86714.html

then try to solve few more questions from the "question banks"

good luck!

JeffYin

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08 Jun 2017, 15:37

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In case anyone is looking for lists of 2016 or 2017 Official Guide questions on remainders, I have links to those here:

https://yintutoring.com/gmat-quant-remainders/

I have also listed the relevant lesson sections and homework questions from the Veritas Prep GMAT books, in case you have those.

I am just starting to compile resources on various GMAT topics on my website, including a database of practice questions from official sources. Please let me know if you have any feedback on what I have created so far, or requests for other things you would like to see!

Cheers,
Jeff

Shiv2016

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08 Jun 2017, 22:18

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Great. Thanks a lot. I will surely go through the official questions list.

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