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: What is the remainder when the positive integer n is divided [#permalink]

Show Tags

11 May 2009, 03:41

1

This post was BOOKMARKED

reply2spg wrote:

What is the remainder when the positive integer n is divided by 2? (1) When n is divided by 5, the remainder is an odd integer. (2) When n is divided by 10, the remainder is an odd integer.

(1) Let n = 8, remainder 3.....so, 8/2 = remainder = 0 Let n = 16, remainder 1....so 16/2 = remainder = 0 Suff (2) n = can be 10,30,50,70,90,110,130 etc All these numbers are divisible by 2, remainder = 0 Suff

Re: What is the remainder when the positive integer n is divided [#permalink]

Show Tags

11 May 2009, 21:38

6

This post received KUDOS

Expert's post

reply2spg wrote:

What is the remainder when the positive integer n is divided by 2? (1) When n is divided by 5, the remainder is an odd integer. (2) When n is divided by 10, the remainder is an odd integer.

Without testing numbers:

First, there are only two remainders possible when you divide n by 2: 0 and 1. The remainder is 0 if n is even, and 1 if n is odd. So the question is really just asking "is n odd?"

Remember the quotient/remainder definition. When we divide n by d, we have n = qd + r, where r is the remainder and q the quotient.

From S1, n = 5q + r, where r is odd. So n = 5q + odd, and n could be even if q is odd, and n could be odd if q is even. Insufficient.

From S2, n = 10q + r where r is odd. So n = even + odd = odd. Sufficient. _________________

GMAT Tutor in Toronto

If you are looking for online GMAT math tutoring, or if you are interested in buying my advanced Quant books and problem sets, please contact me at ianstewartgmat at gmail.com

Re: please explain the answer how the authore arrives to that [#permalink]

Show Tags

25 Feb 2011, 07:40

2

This post received KUDOS

Expert's post

1

This post was BOOKMARKED

naaga wrote:

What is the remainder when the positive integer n is divided by 2? (1) When n is divided by 5, the remainder is an odd integer. (2) When n is divided by 10, the remainder is an odd integer

What is the remainder when the positive integer n is divided by 2?

Question basically asks whether n is odd or even: if it's odd then the remainder will be 1 and if it's even then the remainder will be zero.

(1) When n is divided by 5, the remainder is an odd integer --> n=5q+odd, so n could be odd (1, 3, 11, 13, 21, 23, ...) as well as even (6, 8, 16, 18, ... ). Not sufficient.

(2) When n is divided by 10, the remainder is an odd integer --> n=10p+odd=even+odd=odd. Sufficient.

Answer: B.

P. S. naaga please always tag your questions. _________________

Re: What is the remainder when the positive integer n is divided [#permalink]

Show Tags

10 Oct 2013, 11:36

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 when the positive integer n is divided [#permalink]

Show Tags

08 Jul 2014, 03:38

Bunuel wrote:

naaga wrote:

What is the remainder when the positive integer n is divided by 2? (1) When n is divided by 5, the remainder is an odd integer. (2) When n is divided by 10, the remainder is an odd integer

What is the remainder when the positive integer n is divided by 2?

Question basically asks whether n is odd or even: if it's odd then the remainder will be 1 and if it's even then the remainder will be zero.

(1) When n is divided by 5, the remainder is an odd integer --> n=5q+odd, so n could be odd (1, 3, 11, 13, 21, 23, ...) as well as even (6, 8, 16, 18, ... ). Not sufficient.

(2) When n is divided by 10, the remainder is an odd integer --> n=10p+odd=even+odd=odd. Sufficient.

Answer: B.

P. S. naaga please always tag your questions.

Bunuel,

how can the remainder of n/5 be 11 or 6 and so on? Isn't it always between 1 and 4? e.g. 9/ 5 = 1+4 or 23 / 5 = 1+3. What am I getting wrong here?

What is the remainder when the positive integer n is divided [#permalink]

Show Tags

08 Jul 2014, 04:34

Expert's post

unceldolan wrote:

Bunuel wrote:

naaga wrote:

What is the remainder when the positive integer n is divided by 2? (1) When n is divided by 5, the remainder is an odd integer. (2) When n is divided by 10, the remainder is an odd integer

What is the remainder when the positive integer n is divided by 2?

Question basically asks whether n is odd or even: if it's odd then the remainder will be 1 and if it's even then the remainder will be zero.

(1) When n is divided by 5, the remainder is an odd integer --> n=5q+odd, so n could be odd (1, 3, 11, 13, 21, 23, ...) as well as even (6, 8, 16, 18, ... ). Not sufficient.

(2) When n is divided by 10, the remainder is an odd integer --> n=10p+odd=even+odd=odd. Sufficient.

Answer: B.

P. S. naaga please always tag your questions.

Bunuel,

how can the remainder of n/5 be 11 or 6 and so on? Isn't it always between 1 and 4? e.g. 9/ 5 = 1+4 or 23 / 5 = 1+3. What am I getting wrong here?

Those are possible values of n, not the possible values of the remainders upon division n by 5. _________________

Re: What is the remainder when the positive integer n is divided [#permalink]

Show Tags

16 Dec 2014, 12:13

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 when the positive integer n is divided [#permalink]

Show Tags

30 Jan 2016, 12:54

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 when the positive integer n is divided [#permalink]

Show Tags

02 Feb 2016, 19:01

1. n can be 3, then the reminder will be 1, or n can be 8, and the remainder is 0. NS 2. n is odd, thus, the remainder when n is divided by 2 will always be 1.

gmatclubot

Re: What is the remainder when the positive integer n is divided
[#permalink]
02 Feb 2016, 19:01

Excellent posts dLo saw your blog too..!! Man .. you have got some writing skills. And Just to make an argument = You had such an amazing resume ; i am glad...

So Much $$$ Business school costs a lot. This is obvious, whether you are a full-ride scholarship student or are paying fully out-of-pocket. Aside from the (constantly rising)...

They say you get better at doing something by doing it. then doing it again ... and again ... and again, and you keep doing it until one day you look...

I barely remember taking decent rest in the last 60 hours. It’s been relentless with submissions, birthday celebration, exams, vacating the flat, meeting people before leaving and of...