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Remainders

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by Gurpinder » Tue Aug 24, 2010 10:11 am
money9111 wrote:I came across this question from a friend and we're both at a loss.

(x/11) = y with remainder 3
(x/19) = y with remainder 3

What is the remainder when y/19.

My question is... how do you figure this out? What is this question really asking? These types of questions are my weakness (for now) and I'd really like to conquer them.

Thank you,
Richard
Hi,

Check out my earlier post: https://www.beatthegmat.com/remainder-pr ... tml#289599

See if its any help!
"Do not confuse motion and progress. A rocking horse keeps moving but does not make any progress."
- Alfred A. Montapert, Philosopher.
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by money9111 » Tue Aug 24, 2010 10:15 am
Yeah I saw your post... the explanations didn't really help me that much. It was a lot to digest
My goal is to make MBA applicants take onus over their process.

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by Stuart@KaplanGMAT » Tue Aug 24, 2010 12:59 pm
money9111 wrote:I came across this question from a friend and we're both at a loss.

(x/11) = y with remainder 3
(x/19) = y with remainder 3

What is the remainder when y/19.

My question is... how do you figure this out? What is this question really asking? These types of questions are my weakness (for now) and I'd really like to conquer them.

Thank you,
Richard
As always, start by analyzing the problem.

We're told that when you divide x by 11, you get quotient y and remainder 3; when you divide x by 19, you get the same quotient and the same remainder.

How can a number give the same quotient and remainder when divided by two different numbers? The only possibility is that the quotient is 0.

(3/11 = 0 rem3; 3/19 = 0 rem3)

So, we know that y=0.

Now we're ready for the question:

what's the remainder when 0 is divided by 19? 0!
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