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]
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
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]
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
4
This post received KUDOS
Expert's post
4
This post was BOOKMARKED
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. _________________
Re: If a certain positive integer is divided by 9, the remainder [#permalink]
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]
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
You know what’s worse than getting a ding at one of your dreams schools . Yes its getting that horrid wait-listed email . This limbo is frustrating as hell . Somewhere...
As I’m halfway through my second year now, graduation is now rapidly approaching. I’ve neglected this blog in the last year, mainly because I felt I didn’...
Wow! MBA life is hectic indeed. Time flies by. It is hard to keep track of the time. Last week was high intense training Yeah, Finance, Accounting, Marketing, Economics...