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 p/q < 1, and p and q are positive integers, which of the [#permalink]

Show Tags

21 Jan 2013, 11:46

1

This post received KUDOS

If p/q < 1 then q>p.

A) \sqrt{\frac{p}{q}} will obviously be less than 1. (B) p/q^2 Will increase the denominator and still makes it less than 1. (C) p/2qWill increase the denominator and still makes it less than 1. (D) q/p^2Still less than 1. Suppose p =2 and q =3 (E) q/p Since q > p, q/p >1 _________________

Re: If p/q < 1, and p and q are positive integers, which of the [#permalink]

Show Tags

22 May 2014, 22:29

1

This post received KUDOS

When we know the signs of fraction in an inequality and want to take the reciprocal here is a handy rule: flip the inequality when taking reciprocal unless both sides have different signs. Thus we can flip the inequality in the given relation p/q<1, to get q/p>1. E it is! _________________

Please consider giving 'kudos' if you like my post and want to thank

Since p and q are positive integers, then q/p>0. Now, multiply p/q < 1 by q/p to get 1 < q/p.

Answer: E.

Or: since this is a must be true question, then even if we find only one example for which an option is not true, it'll mean that this option is not always true, thus not a correct answer.

Say p=2 and q=3. In this case, no option is correct but E.

Re: If p/q < 1, and p and q are positive integers, which of the [#permalink]

Show Tags

17 Jun 2014, 22:03

Did anyone solve this with smart numbers? Used p = 1 and q = 2 which narrowed it down to D and E and then tested those with p = 5 and q = 9? This gave me E.

Re: If p/q < 1, and p and q are positive integers, which of the [#permalink]

Show Tags

18 Jun 2014, 01:27

Expert's post

carolinanmd wrote:

Did anyone solve this with smart numbers? Used p = 1 and q = 2 which narrowed it down to D and E and then tested those with p = 5 and q = 9? This gave me E.

Re: If p/q < 1, and p and q are positive integers, which of the [#permalink]

Show Tags

29 Aug 2015, 02:05

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. _________________

Post your Blog on GMATClub We would like to invite all applicants who are applying to BSchools this year and are documenting their application experiences on their blogs to...

Since the value of the NZ Dollar is much lower than the Pound, foreign currency exchange rates and how to pay MBA tuition fees are obviously of much concern...