Thank you for using the timer - this advanced tool can estimate your performance and suggest more practice questions. We have subscribed you to Daily Prep Questions via email.

Customized for You

we will pick new questions that match your level based on your Timer History

Track Your Progress

every week, we’ll send you an estimated GMAT score based on your performance

Practice Pays

we will pick new questions that match your level based on your Timer History

Not interested in getting valuable practice questions and articles delivered to your email? No problem, unsubscribe here.

It appears that you are browsing the GMAT Club forum unregistered!

Signing up is free, quick, and confidential.
Join other 500,000 members and get the full benefits of GMAT Club

Registration gives you:

Tests

Take 11 tests and quizzes from GMAT Club and leading GMAT prep companies such as Manhattan GMAT,
Knewton, and others. All are free for GMAT Club members.

Applicant Stats

View detailed applicant stats such as GPA, GMAT score, work experience, location, application
status, and more

Books/Downloads

Download thousands of study notes,
question collections, GMAT Club’s
Grammar and Math books.
All are free!

Thank you for using the timer!
We noticed you are actually not timing your practice. Click the START button first next time you use the timer.
There are many benefits to timing your practice, including:

Re: If a certain positive integer is divided by 9, the remainder [#permalink]

Show Tags

18 Jan 2013, 23:46

1

This post received KUDOS

fozzzy wrote:

If a certain positive integer is divided by 9, the remainder is 3. What is the remainder when the integer is divided by 5? 1. If the integer is divided by 45, the remainder is 30 2. The integer is divisible by 2

info we have n=9k+3

statement 1 n=45k+30 >>> 5(9k+6)

how is this sufficient?

9k+6 and 9k+3 are not the same.

Actually n is 45L + 30 , not 45k + 30.

45L + 30 = 15(3L + 2). Since L is an integer, this value is divisible by 5. The remainder will be 0. We do not even need the first part of the question statement. A alone is sufficient to answer the question.
_________________

Did you find this post helpful?... Please let me know through the Kudos button.

Re: If a certain positive integer is divided by 9, the remainder [#permalink]

Show Tags

19 Jan 2013, 00:50

3

This post received KUDOS

1

This post was BOOKMARKED

Statement A openly tells us that the number is a multiple of 5. So regardless of what the number is, when we divide that number by 5, the remainder is going to be 0. We do not have to find the number itself.
_________________

Did you find this post helpful?... Please let me know through the Kudos button.

Re: If a certain positive integer is divided by 9, the remainder [#permalink]

Show Tags

19 Jan 2013, 00:56

MacFauz wrote:

Statement A openly tells us that the number is a multiple of 5. So regardless of what the number is, when we divide that number by 5, the remainder is going to be 0. We do not have to find the number itself.

I realize my mistake, I misinterpreted the question. Thanks!
_________________

Click +1 Kudos if my post helped...

Amazing Free video explanation for all Quant questions from OG 13 and much more http://www.gmatquantum.com/og13th/

GMAT Prep software What if scenarios http://gmatclub.com/forum/gmat-prep-software-analysis-and-what-if-scenarios-146146.html

If a certain positive integer is divided by 9, the remainder is 3. What is the remainder when the integer is divided by 5?

Given that \(x=9q+3\). x could be: 3, 12, 21, 30, 39, 42, ...

(1) If the integer is divided by 45, the remainder is 30 --> \(x=45p+30=5(9p+6)\). So, x is a multiple of 5, which means that the remainder when x is divided by 5 is 0. Sufficient.

(2) The integer is divisible by 2 --> x is even. If x is 12, then the remainder is 2 but if x is 30, then the remainder is 0. Not sufficient.

Answer: A.

As for your doubt: the values of x which satisfies both equations are: 30, 75, 120, ...

Re: If a certain positive integer is divided by 9, the remainder [#permalink]

Show Tags

11 Jun 2014, 17:30

Hello from the GMAT Club BumpBot!

Thanks to another GMAT Club member, I have just discovered this valuable topic, yet it had no discussion for over a year. I am now bumping it up - doing my job. I think you may find it valuable (esp those replies with Kudos).

Want to see all other topics I dig out? Follow me (click follow button on profile). You will receive a summary of all topics I bump in your profile area as well as via email.
_________________

Re: If a certain positive integer is divided by 9, the remainder [#permalink]

Show Tags

13 Aug 2015, 13:45

Hello from the GMAT Club BumpBot!

Thanks to another GMAT Club member, I have just discovered this valuable topic, yet it had no discussion for over a year. I am now bumping it up - doing my job. I think you may find it valuable (esp those replies with Kudos).

Want to see all other topics I dig out? Follow me (click follow button on profile). You will receive a summary of all topics I bump in your profile area as well as via email.
_________________

Re: If a certain positive integer is divided by 9, the remainder [#permalink]

Show Tags

02 Sep 2015, 13:21

Bunuel wrote:

If a certain positive integer is divided by 9, the remainder is 3. What is the remainder when the integer is divided by 5?

Given that \(x=9q+3\). x could be: 3, 12, 21, 30, 39, 42, ...

(1) If the integer is divided by 45, the remainder is 30 --> \(x=45p+30=5(9p+6)\). So, x is a multiple of 5, which means that the remainder when x is divided by 5 is 0. Sufficient.

(2) The integer is divisible by 2 --> x is even. If x is 12, then the remainder is 2 but if x is 30, then the remainder is 0. Not sufficient.

Answer: A.

As for your doubt: the values of x which satisfies both equations are: 30, 75, 120, ...

Hope it helps.

Hi Bunuel,

One question. With statement 1, are the following inferences all valid? - N is divisible by 5 since --> n = 5 (9q + 6) - N is also divisible by 3 since --> n = 3 (15q + 10) - N is therefore also divisible by 15 since --> n = 15 (3q + 2)

I know this goes beyond the scope of answering this question. I just wanna check if my reasoning is correct for future problems such as this one.

Thanks,
_________________

Consider giving me Kudos if I helped, but don´t take them away if I didn´t!

What would you do if you weren´t afraid?

gmatclubot

Re: If a certain positive integer is divided by 9, the remainder
[#permalink]
02 Sep 2015, 13:21

It’s quickly approaching two years since I last wrote anything on this blog. A lot has happened since then. When I last posted, I had just gotten back from...

Since my last post, I’ve got the interview decisions for the other two business schools I applied to: Denied by Wharton and Invited to Interview with Stanford. It all...

Marketing is one of those functions, that if done successfully, requires a little bit of everything. In other words, it is highly cross-functional and requires a lot of different...