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Shiv2016
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Remainder and remainder part 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

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Remainder and remainder part 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
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Remainder and remainder part 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
Show more

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.
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Remainder and remainder part 31 May 2017, 04:23
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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.
Show more


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?
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Remainder and remainder part 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?
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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. :)
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Remainder and remainder part 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
Show more


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!
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Remainder and remainder part 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
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Shiv2016
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Remainder and remainder part 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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Hi there,
This topic has been closed and archived due to inactivity or violation of community quality standards. No more replies are possible here.
Where to now? Join ongoing discussions on thousands of quality questions in our Quantitative Questions Forum
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Thank you for understanding, and happy exploring!