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 350,000 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]
18 Jan 2013, 23:46

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]
19 Jan 2013, 00:50

2

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]
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! _________________

Re: If a certain positive integer is divided by 9, the remainder [#permalink]
19 Jan 2013, 04:20

2

This post received KUDOS

Expert's post

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]
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. _________________

hey guys, A metallurgist but currently working in a NGO and have scheduled my GMAT in December for second round .....u know. I read some but valuable blogs on this...

Many of my classmates and I have been receiving queries from MBA aspirants who are interested in applying to SBS. The questions are usually focussed on the career opportunities after...

First of all, thank you for all the interest in pursuing graduate studies in MBA as well as the Rotman School of Management. I have received a lot of...