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:
If p and q are integers and p divided by q is 20.15 [#permalink]
08 Oct 2012, 09:15
2
This post was BOOKMARKED
00:00
A
B
C
D
E
Difficulty:
35% (medium)
Question Stats:
67% (01:56) correct
33% (01:09) wrong based on 202 sessions
If p and q are integers and p divided by q is 20.15, then which of the following integers is a possible value for the remainder when p is divided by q?
I. 15 II. 5 III. 3
A) I only B) I and II only C) I and III only D) II and III only E) I, II, and III
Re: If p and q are integers and p divided by q is 20.15 [#permalink]
08 Oct 2012, 10:41
2
This post received KUDOS
ikokurin wrote:
If p and q are integers and p divided by q is 20.15, then which of the following integers is a possible value for the remainder when p is divided by q?
I. 15 II. 5 III. 3
A) I only B) I and II only C) I and III only D) II and III only E) I, II, and III
What is the best way to approach this problem?
p=20.15q from which p = 20q + 15q/100 or p = 20q + 3q/20. Since p and q are integers, 3q/20 must also be an integer. 3 is not divisible by 20, then q must be divisible by 20, and therefore, q/20 is an integer and 3q/20 is an integer which is a multiple of 3. From the given answers, only 15 and 3 are divisible by 3.
Answer C. _________________
PhD in Applied Mathematics Love GMAT Quant questions and running.
Re: If p and q are integers and p divided by q is 20.15 [#permalink]
08 Oct 2012, 14:06
EvaJager wrote:
ikokurin wrote:
If p and q are integers and p divided by q is 20.15, then which of the following integers is a possible value for the remainder when p is divided by q?
I. 15 II. 5 III. 3
A) I only B) I and II only C) I and III only D) II and III only E) I, II, and III
What is the best way to approach this problem?
p=20.15q from which p = 20q + 15q/100 or p = 20q + 3q/20. Since p and q are integers, 3q/20 must also be an integer. 3 is not divisible by 20, then q must be divisible by 20, and therefore, q/20 is an integer and 3q/20 is an integer which is a multiple of 3. From the given answers, only 15 and 3 are divisible by 3.
Answer C.
I feel like I have trouble grasping the concept in general... I mean the next time I see a similar problem I am not exactly sure where to start. Is this always the case where whatever decimal we have we just look at the possible multiples of that decimal? For example, if we had say 20.34 we would take 34q/100 or 17q/50 looking for a multiple of 17 in the answer choice?
And are there a few other similar problems that you might have seen particularly with tweaked premises? Or may be you have a way to tweak the question some other way, let me know.
Re: If p and q are integers and p divided by q is 20.15 [#permalink]
08 Oct 2012, 14:21
ikokurin wrote:
EvaJager wrote:
ikokurin wrote:
If p and q are integers and p divided by q is 20.15, then which of the following integers is a possible value for the remainder when p is divided by q?
I. 15 II. 5 III. 3
A) I only B) I and II only C) I and III only D) II and III only E) I, II, and III
What is the best way to approach this problem?
p=20.15q from which p = 20q + 15q/100 or p = 20q + 3q/20. Since p and q are integers, 3q/20 must also be an integer. 3 is not divisible by 20, then q must be divisible by 20, and therefore, q/20 is an integer and 3q/20 is an integer which is a multiple of 3. From the given answers, only 15 and 3 are divisible by 3.
Answer C.
I feel like I have trouble grasping the concept in general... I mean the next time I see a similar problem I am not exactly sure where to start. Is this always the case where whatever decimal we have we just look at the possible multiples of that decimal? For example, if we had say 20.34 we would take 34q/100 or 17q/50 looking for a multiple of 17 in the answer choice?
And are there a few other similar problems that you might have seen particularly with tweaked premises? Or may be you have a way to tweak the question some other way, let me know.
Appreciate your help guys!
if we had say 20.34 we would take 34q/100 or 17q/50 looking for a multiple of 17 in the answer choice? YES!
The relationship between the dividend (a certain number \(n\)), divisor(\(d\)), quotient(\(q\)) and remainder(\(r\)): \(n = dq + r,\) all numbers are positive integers, except \(r,\) which can be also 0 (in which case, we say that \(n\) is divisible by \(d\)). The above can be rewritten as \(n/d = q + r/d.\) So, \(r/d\) is the 0.something you see in the result of a division. 0.something is the fractional part of the quotient. If you multiply that by the divisor, in our case \(q\), you will get the remainder, which has to be an integer. Always take the fraction in the expression of the fractional part in lowest terms, exactly as you did with \(34q/100\). Since 17 is not divisible by 50, it means \(q\) must be divisible by 50, so \(q/50\) is an integer, and \(17q/50\) is an integer which is a multiple of 17. _________________
PhD in Applied Mathematics Love GMAT Quant questions and running.
Re: If p and q are integers and p divided by q is 20.15 [#permalink]
09 Oct 2012, 03:16
3
This post received KUDOS
Expert's post
2
This post was BOOKMARKED
ikokurin wrote:
If p and q are integers and p divided by q is 20.15, then which of the following integers is a possible value for the remainder when p is divided by q?
I. 15 II. 5 III. 3
A) I only B) I and II only C) I and III only D) II and III only E) I, II, and III
What is the best way to approach this problem?
\(p\) divided by \(q\) yields the remainder of \(r\) can always be expressed as: \(\frac{p}{q}=t+\frac{r}{q}\) (which is the same as \(p=qt+r\)), where \(t\) is the quotient and \(r\) is the remainder.
Given that \(\frac{p}{q}=20.15=20\frac{15}{100}=20\frac{3}{20}=20+\frac{3}{20}\), so according to the above \(\frac{r}{q}=\frac{3}{20}\), which means that \(r\) must be a multiple of 3.
Thus, only 15 and 3 are possible values for the remainders.
Re: If p and q are integers and p divided by q is 20.15 [#permalink]
16 Oct 2012, 20:36
1
This post received KUDOS
ikokurin wrote:
If p and q are integers and p divided by q is 20.15, then which of the following integers is a possible value for the remainder when p is divided by q?
I. 15 II. 5 III. 3
A) I only B) I and II only C) I and III only D) II and III only E) I, II, and III
What is the best way to approach this problem?
General Rule :
p=mq+r m is multiple r is remainder now, we can express 20.15 as 20+0.15
So R =0.15 \(=15/100\) \(=3/20\) which implies that the remainder should be a multiple of 3 . Possible values 3, 15 Hence C.
Re: If p and q are integers and p divided by q is 20.15 [#permalink]
16 Oct 2012, 21:17
1
This post received KUDOS
Expert's post
ikokurin wrote:
If p and q are integers and p divided by q is 20.15, then which of the following integers is a possible value for the remainder when p is divided by q?
I. 15 II. 5 III. 3
A) I only B) I and II only C) I and III only D) II and III only E) I, II, and III
What is the best way to approach this problem?
\(\frac{p}{q} = 20.15 = 20 \frac{15}{100}\) Notice here that if q = 100, the remainder would be 15
\(\frac{15}{100} = \frac{3}{20}\) If q = 20, remainder would be 3.
But under no conditions can you cancel off 3 from the numerator and denominator and be left with 5 in the numerator so remainder cannot be 5.
Re: If p and q are integers and p divided by q is 20.15 [#permalink]
20 Jul 2014, 05:58
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. _________________
The “3 golden nuggets” of MBA admission process With ten years of experience helping prospective students with MBA admissions and career progression, I will be writing this blog through...
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...