It is currently 20 Oct 2017, 17:06

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

Events & Promotions in June
Open Detailed Calendar

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

BSchool Forum Moderator
User avatar
P
Joined: 26 Feb 2016
Posts: 1465

Kudos [?]: 596 [0], given: 16

Location: India
Concentration: General Management, Leadership
WE: Sales (Retail)
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 21 Sep 2017, 00:25
1
This post was
BOOKMARKED
00:00
A
B
C
D
E

Difficulty:

  65% (hard)

Question Stats:

31% (02:10) correct 69% (01:26) wrong based on 16 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
[Reveal] Spoiler: OA

_________________

Stay hungry, Stay foolish

2017-2018 MBA Deadlines

Class of 2020: Rotman Thread | Schulich Thread
Class of 2019: Sauder Thread

Kudos [?]: 596 [0], given: 16

Intern
Intern
avatar
B
Joined: 29 Aug 2017
Posts: 25

Kudos [?]: 1 [0], given: 28

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, 03:14
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.

Kudos [?]: 1 [0], given: 28

If p,q and r are positive numbers, does q lie between p and r on the   [#permalink] 21 Sep 2017, 03:14
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  


GMAT Club MBA Forum Home| About| Terms and Conditions| 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®.