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:

What is the Remainder R when X is divided by 8? X is a positive integer.

(1) X yields 9 when divided by 12 (2) R is a factor of 27

\(x=8q+r\), \(0\leq{r}<8\) (remainder must be less than divisor). Question \(r=?\).

(1) Think this statement should be: "x yields remainder of 9 when divided by 12" --> \(x=12p+9\), \(x\) can take following values: 9, 21, 33, 45, 57, ... This values divided by 8 can give remainder of 1 or 5. Two values. Not sufficient.

(2) \(rk=27\), as \(0\leq{r}<8\), then r can take only two values: 1 or 3. Two values. Not sufficient.

(1)+(2) Intersection of values from (1) and (2) is \(r=1\). Sufficient.

Re: What is the remainder r when x is divided by 8? x is a posit [#permalink]

Show Tags

19 Feb 2014, 13:58

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: What is the remainder r when x is divided by 8? x is a posit [#permalink]

Show Tags

07 Sep 2014, 12:38

Bunuel wrote:

dimitri92 wrote:

What is the Remainder R when X is divided by 8? X is a positive integer.

(1) X yields 9 when divided by 12 (2) R is a factor of 27

\(x=8q+r\), \(0\leq{r}<8\) (remainder must be less than divisor). Question \(r=?\).

(1) Think this statement should be: "x yields remainder of 9 when divided by 12" --> \(x=12p+9\), \(x\) can take following values: 9, 21, 33, 45, 57, ... This values divided by 8 can give remainder of 1 or 5. Two values. Not sufficient.

(2) \(rk=27\), as \(0\leq{r}<8\), then r can take only two values: 1 or 3. Two values. Not sufficient.

(1)+(2) Intersection of values from (1) and (2) is \(r=1\). Sufficient.

Answer: C.

Hi Bunuel, need ur help buddy.. Actually,when i came at the end of this problem, i had 3 and 9 as factors of 27..But,as it was given,the remainder is a factor of 27..so it only has to be 3,since 9 is greater than 8..i understand that when we divide9 by 8,we get 1 as remainder,but we are explicitly told that remainder is a factor of 27 and 1 is not a factor,so we are left with just 3.. please clear my understanding..thanks
_________________

ITS NOT OVER , UNTIL I WIN ! I CAN, AND I WILL .PERIOD.

What is the Remainder R when X is divided by 8? X is a positive integer.

(1) X yields 9 when divided by 12 (2) R is a factor of 27

\(x=8q+r\), \(0\leq{r}<8\) (remainder must be less than divisor). Question \(r=?\).

(1) Think this statement should be: "x yields remainder of 9 when divided by 12" --> \(x=12p+9\), \(x\) can take following values: 9, 21, 33, 45, 57, ... This values divided by 8 can give remainder of 1 or 5. Two values. Not sufficient.

(2) \(rk=27\), as \(0\leq{r}<8\), then r can take only two values: 1 or 3. Two values. Not sufficient.

(1)+(2) Intersection of values from (1) and (2) is \(r=1\). Sufficient.

Answer: C.

Hi Bunuel, need ur help buddy.. Actually,when i came at the end of this problem, i had 3 and 9 as factors of 27..But,as it was given,the remainder is a factor of 27..so it only has to be 3,since 9 is greater than 8..i understand that when we divide9 by 8,we get 1 as remainder,but we are explicitly told that remainder is a factor of 27 and 1 is not a factor,so we are left with just 3.. please clear my understanding..thanks

Re: What is the remainder r when x is divided by 8? x is a posit [#permalink]

Show Tags

22 Oct 2015, 08:08

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: What is the remainder r when x is divided by 8? x is a posit [#permalink]

Show Tags

22 Oct 2015, 11:07

2

This post received KUDOS

dimitri92 wrote:

What is the remainder r when x is divided by 8? x is a positive integer.

(1) x yields remainder of 9 when divided by 12 (2) r is a factor of 27

When it comes to remainders, we have a nice rule that says: If N divided by D, leaves remainder R, then the possible values of N are R, R+D, R+2D, R+3D,. . . etc. For example, if k divided by 5 leaves a remainder of 1, then the possible values of k are: 1, 1+5, 1+(2)(5), 1+(3)(5), 1+(4)(5), . . . etc.

Now onto the question...............

Target question:What is the remainder r when x is divided by 8?

Statement 1: x yields remainder of 9 when divided by 12 By the rule above, the possible values of x are: 9, 21, 33, 45, 57, 69,.... Let's check out the remainder when we divide these possible x-values by 8 If x = 9, then we get remainder 1 when we divide x by 8 If x = 21, then we get remainder 5 when we divide x by 8 If x = 33 then we get remainder 1 when we divide x by 8 If x = 45, then we get remainder 5 when we divide x by 8 . . . Since we cannot answer the target question with certainty, statement 1 is NOT SUFFICIENT

Statement 2: r is a factor of 27 We have no information about the value of x, so there's no way to determine the remainder when x is divided by 8 Since we cannot answer the target question with certainty, statement 2 is NOT SUFFICIENT

Statements 1 and 2 combined Statement 1 tells us that remainder r is EITHER 1 OR 5 Statement 2 tells us that r is a factor of 27 Since only 1 is a factor of 27, we can be certain that remainder r = 1 Since we can answer the target question with certainty, the combined statements are SUFFICIENT

Re: What is the remainder r when x is divided by 8? x is a posit [#permalink]

Show Tags

03 May 2017, 00:35

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.
_________________

Version 8.1 of the WordPress for Android app is now available, with some great enhancements to publishing: background media uploading. Adding images to a post or page? Now...

“Keep your head down, and work hard. Don’t attract any attention. You should be grateful to be here.” Why do we keep quiet? Being an immigrant is a constant...