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 |x – (9/2) | = 5/2 , and if y is the median of a set of p consecutive integers, where p is odd, which of the following must be true?

I. \(xyp\)is odd

II. \(xy(p^2 + p)\) is even

III. \(x^2y^2p^2\) is even

A. II only B. III only C. I and III D. II and III E. I, II, and III

x is in range of 2 and 7 so it can be even or odd y is median of set of odd integers so it can be even or odd p is given as odd using above information only II for sure can be inferred as even. other two, either can be even or odd correct response is A.

If |x – (9/2) | = 5/2 , and if y is the median of a set of p consecutive integers, where p is odd, which of the following must be true?

I. \(xyp\)is odd

II. \(xy(p^2 + p)\) is even

III. \(x^2y^2p^2\) is even

A. II only B. III only C. I and III D. II and III E. I, II, and III

x is in range of 2 and 7 so it can be even or odd y is median of set of odd integers so it can be even or odd p is given as odd using above information only II for sure can be inferred as even. other two, either can be even or odd correct response is A.

X is not between 2 and 7. X is either 2 or 7. But the rest of the explanation is correct I believe.

Re: If |x – 9/2| = 5/2, and if y is the median of a set of p [#permalink]

Show Tags

21 Jul 2014, 22:25

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 |x – 9/2| = 5/2, and if y is the median of a set of p [#permalink]

Show Tags

31 Mar 2016, 19:11

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 |x – 9/2| = 5/2, and if y is the median of a set of p [#permalink]

Show Tags

03 Oct 2016, 06:41

mads wrote:

If |x – 9/2| = 5/2, and if y is the median of a set of p consecutive integers, where p is odd, which of the following must be true?

I. xyp is odd II. xy(p^2 + p) is even III. x^2y^2p^2 is even

A. II only B. III only C. I and III D. II and III E. I, II, and III

I got to A.

from the given info, x is either 2 or 7. p is definitely odd. y can be either odd or even.

1. might be true. x can be 2, and in this case, xyp is even. C and E are out.

2. xy(p^2 +p) p is odd. p^2+p = even. so everything, regardless of x and y, will be even. B is out.

3. x can be even or odd; y can be even or odd; p is odd. since all 3 variables can be odd, there is a possibility that the number is not even. D is out

Campus visits play a crucial role in the MBA application process. It’s one thing to be passionate about one school but another to actually visit the campus, talk...

Its been long time coming. I have always been passionate about poetry. It’s my way of expressing my feelings and emotions. And i feel a person can convey...

Marty Cagan is founding partner of the Silicon Valley Product Group, a consulting firm that helps companies with their product strategy. Prior to that he held product roles at...

Written by Scottish historian Niall Ferguson , the book is subtitled “A Financial History of the World”. There is also a long documentary of the same name that the...