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: If R=P/Q, is R≤P? [#permalink]
22 Feb 2012, 02:18

4

This post received KUDOS

Expert's post

If R=P/Q, is R≤P?

We don't need R at all, so substitute it. The question becomes is \(\frac{P}{Q}\leq{P}\)? Notice that we can not reduce both sides by P since we don't know the sign of it, thus don't know whether we should flip the sign of the inequality when reducing.

(1) P>50 --> P is positive - reduce by it. The question becomes is \(\frac{1}{Q}\leq{1}\)? --> is \(Q<0\) or \(Q\geq{1}\)? We don't know that. Not sufficient.

(2) 0<Q≤20. No info about P. Not sufficient.

(1)+(2) From (1) the question became: is \(Q<0\) or \(Q\geq{1}\)? Now, (2) says \(0<Q\leq{20}\), which is not sufficient to answer the question definitely: if \(1\leq{Q}\leq{20}\) the answer is YES but if \(0<Q<1\) the answer is NO. Not sufficient.

Re: If R=P/Q, is R≤P? (1) P>50 (2) 0<Q≤20 [#permalink]
29 Aug 2012, 00:24

Expert's post

Ankit04041987 wrote:

doesn't combining (1)+(2) imply 1<=q<=2, common region implied by options (1) and (2)

From (1) the question became: is \(\frac{1}{Q}\leq{1}\)? (2) says \(0<Q\leq{20}\). Now, if \(1\leq{Q}\leq{20}\) (for example if \(Q=2\)) the answer is YES but if \(0<Q<1\) (for example if \(Q=\frac{1}{2}\)) the answer is NO. Not sufficient.

Re: If R=P/Q, is R≤P? [#permalink]
30 Aug 2012, 19:02

Bunuel wrote:

If R=P/Q, is R≤P?

First of all a proper GMAT question would mention that Q doesn't equal to zero (as it's in denominator).

Next, we don't need R at all, substitute it. The question becomes is \(\frac{P}{Q}\leq{P}\)? Notice that we can not reduce both sides by P since we don't know the sign of it, thus don't know whether we should flip the sign of the inequality when reducing.

(1) P>50 --> P is positive - reduce by it. The question becomes is \(\frac{1}{Q}\leq{1}\)? --> is \(Q<0\) or \(Q\geq{1}\)? We don't know that. Not sufficient.

(2) 0<Q≤20. No info about P. Not sufficient.

(1)+(2) From (1) the question became: is \(Q<0\) or \(Q\geq{1}\)? Now, (2) says \(0<Q\leq{20}\), which is not sufficient to answer the question definitely: if \(1\leq{Q}\leq{20}\) the answer is YES but if \(0<Q<1\) the answer is NO. Not sufficient.

Answer: E.

Hope it's clear.

hello sir how can we replace r with p can you please give a generalised methodo for such substitution _________________

Re: If R=P/Q, is R≤P? [#permalink]
30 Aug 2012, 23:10

Expert's post

mohan514 wrote:

Bunuel wrote:

If R=P/Q, is R≤P?

First of all a proper GMAT question would mention that Q doesn't equal to zero (as it's in denominator).

Next, we don't need R at all, substitute it. The question becomes is \(\frac{P}{Q}\leq{P}\)? Notice that we can not reduce both sides by P since we don't know the sign of it, thus don't know whether we should flip the sign of the inequality when reducing.

(1) P>50 --> P is positive - reduce by it. The question becomes is \(\frac{1}{Q}\leq{1}\)? --> is \(Q<0\) or \(Q\geq{1}\)? We don't know that. Not sufficient.

(2) 0<Q≤20. No info about P. Not sufficient.

(1)+(2) From (1) the question became: is \(Q<0\) or \(Q\geq{1}\)? Now, (2) says \(0<Q\leq{20}\), which is not sufficient to answer the question definitely: if \(1\leq{Q}\leq{20}\) the answer is YES but if \(0<Q<1\) the answer is NO. Not sufficient.

Answer: E.

Hope it's clear.

hello sir how can we replace r with p can you please give a generalised methodo for such substitution

We are given that R=P/Q, so we can substitute R with P/Q (not with P). _________________

Re: If R=P/Q, is R≤P? (1) P>50 (2) 0<Q≤20 [#permalink]
07 Feb 2014, 10:31

wizard wrote:

If R=P/Q, is R≤P?

(1) P>50 (2) 0<Q≤20

r=p/q---> or qr=p..

question is r<=p?

How i solved this question ...

st(1)---> p>50.. insufficient as we dont know value of p r and q.

St(2).... its also insufficient.. because we dont knw the value of other variables..

Togather st(1) and (2)..

qr=p .. Suppose ..q=1 and p=50.. then p will be 50.. ans wil be YES.. because p=r... If lets suppose Q=1/2.. and p=50.. then r will be 100 ans will be no r>p..

so Ans is E.. _________________

Bole So Nehal.. Sat Siri Akal.. Waheguru ji help me to get 700+ score !

Re: If R=P/Q, is R≤P? [#permalink]
03 Jun 2014, 07:08

Bunuel wrote:

If R=P/Q, is R≤P?

We don't need R at all, so substitute it. The question becomes is \(\frac{P}{Q}\leq{P}\)? Notice that we can not reduce both sides by P since we don't know the sign of it, thus don't know whether we should flip the sign of the inequality when reducing.

(1) P>50 --> P is positive - reduce by it. The question becomes is \(\frac{1}{Q}\leq{1}\)? --> is \(Q<0\) or \(Q\geq{1}\)? We don't know that. Not sufficient.

(2) 0<Q≤20. No info about P. Not sufficient.

(1)+(2) From (1) the question became: is \(Q<0\) or \(Q\geq{1}\)? Now, (2) says \(0<Q\leq{20}\), which is not sufficient to answer the question definitely: if \(1\leq{Q}\leq{20}\) the answer is YES but if \(0<Q<1\) the answer is NO. Not sufficient.

Answer: E.

Hope it's clear.

How we got \(Q<0\)? I understand that for \(\frac{1}{Q} \leq1\) Q could be either \(Q\leq{1}\) or \(Q <0\) but then again I can say \(Q=0\)

Re: If R=P/Q, is R≤P? [#permalink]
03 Jun 2014, 07:35

1

This post received KUDOS

Expert's post

b2bt wrote:

Bunuel wrote:

If R=P/Q, is R≤P?

We don't need R at all, so substitute it. The question becomes is \(\frac{P}{Q}\leq{P}\)? Notice that we can not reduce both sides by P since we don't know the sign of it, thus don't know whether we should flip the sign of the inequality when reducing.

(1) P>50 --> P is positive - reduce by it. The question becomes is \(\frac{1}{Q}\leq{1}\)? --> is \(Q<0\) or \(Q\geq{1}\)? We don't know that. Not sufficient.

(2) 0<Q≤20. No info about P. Not sufficient.

(1)+(2) From (1) the question became: is \(Q<0\) or \(Q\geq{1}\)? Now, (2) says \(0<Q\leq{20}\), which is not sufficient to answer the question definitely: if \(1\leq{Q}\leq{20}\) the answer is YES but if \(0<Q<1\) the answer is NO. Not sufficient.

Answer: E.

Hope it's clear.

How we got \(Q<0\)? I understand that for \(\frac{1}{Q} \leq1\) Q could be either \(Q\leq{1}\) or \(Q <0\) but then again I can say \(Q=0\)

If Q=0, then \(\frac{1}{Q}\) is undefined, not \(\leq1\), so Q cannot be 0.

Low GPA MBA Acceptance Rate Analysis Many applicants worry about applying to business school if they have a low GPA. I analyzed the low GPA MBA acceptance rate at...

http://blog.davidbbaker.com/wp-content/uploads/2015/11/12249800_10153820891439090_8007573611012789132_n.jpg When you think about an MBA program, usually the last thing you think of is professional collegiate sport. (Yes American’s I’m going...