GMAT Question of the Day - Daily to your Mailbox; hard ones only

It is currently 15 Nov 2018, 08:58

ISB R1 results on Nov 15:

Join Chat Room for Live Updates


Close

GMAT Club Daily Prep

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.

Close

Request Expert Reply

Confirm Cancel
Events & Promotions in November
PrevNext
SuMoTuWeThFrSa
28293031123
45678910
11121314151617
18192021222324
2526272829301
Open Detailed Calendar
  • Free GMAT Strategy Webinar

     November 17, 2018

     November 17, 2018

     07:00 AM PST

     09:00 AM PST

    Nov. 17, 7 AM PST. Aiming to score 760+? Attend this FREE session to learn how to Define your GMAT Strategy, Create your Study Plan and Master the Core Skills to excel on the GMAT.
  • GMATbuster's Weekly GMAT Quant Quiz # 9

     November 17, 2018

     November 17, 2018

     09:00 AM PST

     11:00 AM PST

    Join the Quiz Saturday November 17th, 9 AM PST. The Quiz will last approximately 2 hours. Make sure you are on time or you will be at a disadvantage.

If p,q and r are positive numbers, does q lie between p and r on the

  new topic post reply Question banks Downloads My Bookmarks Reviews Important topics  
Author Message
TAGS:

Hide Tags

Senior PS Moderator
User avatar
V
Joined: 26 Feb 2016
Posts: 3307
Location: India
GPA: 3.12
Premium Member CAT Tests
If p,q and r are positive numbers, does q lie between p and r on the  [#permalink]

Show Tags

New post 20 Sep 2017, 23:25
5
00:00
A
B
C
D
E

Difficulty:

  85% (hard)

Question Stats:

39% (02:42) correct 61% (02:04) wrong based on 42 sessions

HideShow timer Statistics

If p,q and R are positive numbers, does q lie between p and r on the number line?

1. 2p < q < 3r
2. 3r < 2q < 5p

Source : Experts Global

_________________

You've got what it takes, but it will take everything you've got

Intern
Intern
avatar
B
Joined: 28 Aug 2017
Posts: 35
If p,q and r are positive numbers, does q lie between p and r on the  [#permalink]

Show Tags

New post 21 Sep 2017, 02:14
2
pushpitkc wrote:
If p,q and R are positive numbers, does q lie between p and r on the number line?

1. 2p < q < 3r
2. 3r < 2q < 5p

Source : Experts Global


Given: p > 0, q > 0, r > 0
Question: Does q lie between p and r: p < q < r or r < q < p?

Statement 1:
2p < q < 3r
Since, 2p < q => p < q
q < 3r but it is not sufficient to know whether q < r because both q < r and q > r can be possible. For example, (q = 4, r = 5) and (q = 6, r = 3)
If q < r, then q lies between p and r and the answer is Yes, if q > r, then q does not lie between p and q and the answer is No.
Since p < q but q < r or q > r, statement 1 is not sufficient.

Statement 2:
3r < 2q < 5p
3r < 2q
q > 1.5r => q > r
2q < 5p => q < 2.5p
r < q < 2.5p
But, it is not enough to show whether r < q < p (which gives an answer Yes) or r, p < q (which gives an answer No)
So, statement 2 is not sufficient

Combining statements 1 and 2:
p < q and r < q
Since q is greater than both p and r, it does not lie between them. Since this information is enough to answer the question, both statements combined are sufficient.

Answer is C.
Non-Human User
User avatar
Joined: 09 Sep 2013
Posts: 8773
Premium Member
Re: If p,q and r are positive numbers, does q lie between p and r on the  [#permalink]

Show Tags

New post 23 Sep 2018, 08:59
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.
_________________

GMAT Books | GMAT Club Tests | Best Prices on GMAT Courses | GMAT Mobile App | Math Resources | Verbal Resources

GMAT Club Bot
Re: If p,q and r are positive numbers, does q lie between p and r on the &nbs [#permalink] 23 Sep 2018, 08:59
Display posts from previous: Sort by

If p,q and r are positive numbers, does q lie between p and r on the

  new topic post reply Question banks Downloads My Bookmarks Reviews Important topics  


Copyright

GMAT Club MBA Forum Home| About| Terms and Conditions and Privacy Policy| GMAT Club Rules| Contact| Sitemap

Powered by phpBB © phpBB Group | Emoji artwork provided by EmojiOne

Kindly note that the GMAT® test is a registered trademark of the Graduate Management Admission Council®, and this site has neither been reviewed nor endorsed by GMAC®.