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.
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:
Aiming to score 760+? Attend this FREE session to learn how to Define your GMAT Strategy, Create your Study Plan and Master the Core Skills to excel on the GMAT.
Re: What is the remainder when the positive integer n is divided
[#permalink]
Show Tags
11 May 2009, 20:38
17
1
5
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: What is the remainder when the positive integer n is divided
[#permalink]
Show Tags
11 May 2009, 02:41
2
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: please explain the answer how the authore arrives to that
[#permalink]
Show Tags
25 Feb 2011, 06:40
3
5
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
08 Jul 2014, 02:38
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, 03:34
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
02 Feb 2016, 18:01
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.
Re: What is the remainder when the positive integer n is divided
[#permalink]
Show Tags
26 Mar 2018, 02:34
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.
_________________
close
47% (01:34) correct 
