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 p1 and p2 are the populations and r1 and r2 are [#permalink]

Show Tags

02 Mar 2005, 23:54

2

This post received KUDOS

2

This post was BOOKMARKED

00:00

A

B

C

D

E

Difficulty:

5% (low)

Question Stats:

72% (01:48) correct
28% (00:34) wrong based on 269 sessions

HideShow timer Statictics

If \(p_1\) and \(p_2\) are the populations and \(r_1\) and \(r_2\) are the numbers of representatives of District 1 and District 2, respectively, the ratio of the population to the number of representatives is greater for which of the two districts?

B/w C and E
p1,p2,r1,r2 are all >0
so multiplying
if it is true that if a>b
,multiplying for c>0, ac>bc
and it becomes stronger if c>d
so that ac>>bd
then a/d>>b/c
so C
please don't kill me if i'm wrong because i'll do it by myself

beause once we have both , the only possibility when the Population is higher and at the same time the representatives a fewer, obviously the rate would be smaller.

C it is
we want Rn/Pn
n=[1,2]
Both combined, if R2 is biggest and P2 is smallest, we know immediately that the ratio Rn/Pn is larger for City2 _________________

I am looking forward to the OA here because i am crossed between C and E.
Given population vs. reps, is it okay to always assume population will be higher than reps so in each district?
Yes it makes sense that population should be larger than reps but then i have read GMAT guidelines that suggests test takers should only work with the information given to them as opposed to inferring extra data from a given information.

Basic rules for inequalities:
(in the example: a>b, c>d)

You need to flip directions when both side are multiplied by a negative number:
-a<-b, -c<-d

You need to flip directions when 1 is divided by both side:
1/a<1/b, 1/c<1/d

You can only add or multiply them when their signs are the same direction:
a+c>b+d
ac>bd

You can only apply substractions and divisions when their signs are the opposite direction:
a>b, d<c
a-d>b-c
a/d>b/c
(You can't say a/c>b/c. It is WRONG)

If p1 and p2 are the populations and r1 and r2 are the numbers of representatives of District 1 and District 2, respectively, the ratio of the population to the number of representatives is greater for which of the two districts ? (1) p1 > p2 (2) r2 > r1

1) We need r1 and r2 values insuffcient 2) we need p1 and p2 values. insuffcient

combine

p1 > p2 r2 > r1

p1/r1(always) >p2/r2

Suffcient _________________

Your attitude determines your altitude Smiling wins more friends than frowning

Last edited by x2suresh on 02 Sep 2008, 18:37, edited 1 time in total.

Combining both info, It is clear that P1/R1 is greater because the numerator is greater and denominator is lesser when compared to the other fraction. C

Since all quantities are positive, we can cross multiply to get the equivalent inequality

p1r2>p2r1

If both positive factors on the left are greater than both positive factors on the right then the inequality is true.

Note: We could have started with the inequality p1/r1<p2/r2 and then the equivalent inequality would be false but the statements would still be sufficient together.

Which way is better to solve this question? Using algebra or testing with some values or numbers? Why? I used numbers, but OG used algebra.

If P1 and P2 are the populations and R1 and R2 are the numbers of representatives of District 1 and District 2, respectively, the ratio of the population to the number of representatives is greater for which of the two districts? (1) P1 > P2 (2) R2 > R1

My initial attempt would be to use algebra because it is fool proof. But I fall back to using numbers only when the algebraic method fails or is too cumbersome.

Answer to the question:

Ratio of population to representatives -- P1/R1 v$ P2/R2

Statement 1: Without the relationship between the population and representatives this is insufficient.

Statement 2: Insufficient because of the above reasons.

However combining them we release P1/R1 would be higher since P1 is higher (than P2) and R1 is smaller than R2.

Hence a higher value (P1) is divided by a lower value (R1) -- this makes P1/R1 value higher.

Answer: C _________________

Support GMAT Club by putting a GMAT Club badge on your blog

Re: If p1 and p2 are the populations and r1 and r2 are [#permalink]

Show Tags

09 Apr 2012, 01:28

3

This post received KUDOS

Expert's post

1

This post was BOOKMARKED

mymbadreamz wrote:

I didn't understand this. Could someone please explain? thanks.

If \(p_1\) and \(p_2\) are the populations and \(r_1\) and \(r_2\) are the numbers of representatives of District 1 and District 2, respectively, the ratio of the population to the number of representatives is greater for which of the two districts?

Question: is \(\frac{p_1}{r_1}>\frac{p_2}{r_2}\)? Since \(p_1\), \(p_2\), \(r_1\) and \(r_2\) are positive integers then we can cross-multiply and rephrase the question: is \(p_1*r_2>p_2*r_1\)?

(1) \(p_1 > p_2\). Not sufficient by itself since no info about \(r_1\) and \(r_2\). (2) \(r_2 > r_1\). Not sufficient by itself since no info about \(p_1\) and \(p_2\).

(1)+(2) Now, since each multiple (\(p_1\) and \(r_2\)) on the left hand side is greater than the respective multiple (\(p_2\) and \(r_1\)) on the right hand side then \(p_1*r_2>p_2*r_1\). Sufficient.

Re: If p1 and p2 are the populations and r1 and r2 are [#permalink]

Show Tags

30 Oct 2012, 02:17

Bunuel wrote:

mymbadreamz wrote:

I didn't understand this. Could someone please explain? thanks.

If \(p_1\) and \(p_2\) are the populations and \(r_1\) and \(r_2\) are the numbers of representatives of District 1 and District 2, respectively, the ratio of the population to the number of representatives is greater for which of the two districts?

Question: is \(\frac{p_1}{r_1}>\frac{p_2}{r_2}\)? Since \(p_1\), \(p_2\), \(r_1\) and \(r_2\) are positive integers then we can cross-multiply and rephrase the question: is \(p_1*r_2>p_2*r_1\)?

(1) \(p_1 > p_2\). Not sufficient by itself since no info about \(r_1\) and \(r_2\). (2) \(r_2 > r_1\). Not sufficient by itself since no info about \(p_1\) and \(p_2\).

(1)+(2) Now, since each multiple (\(p_1\) and \(r_2\)) on the left hand side is greater than the respective multiple (\(p_2\) and \(r_1\)) on the right hand side then \(p_1*r_2>p_2*r_1\). Sufficient.

Answer: C.

Hope it's clear.

had 2 been r1>r2, ans would have been E. .Bunuel ,pls correct me if I am wrong _________________

hope is a good thing, maybe the best of things. And no good thing ever dies.

Re: If p1 and p2 are the populations and r1 and r2 are [#permalink]

Show Tags

12 Oct 2014, 00:09

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 p1 and p2 are the populations and r1 and r2 are [#permalink]

Show Tags

17 Dec 2015, 15:07

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. _________________

So, my final tally is in. I applied to three b schools in total this season: INSEAD – admitted MIT Sloan – admitted Wharton – waitlisted and dinged No...

A few weeks ago, the following tweet popped up in my timeline. thanks @Uber_Mumbai for showing me what #daylightrobbery means!I know I have a choice not to use it...

“This elective will be most relevant to learn innovative methodologies in digital marketing in a place which is the origin for major marketing companies.” This was the crux...