Find all School-related info fast with the new School-Specific MBA Forum

It is currently 22 Sep 2014, 10:50

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.

Events & Promotions

Events & Promotions in June
Open Detailed Calendar

If mv < pv < 0, is v > 0?

  Question banks Downloads My Bookmarks Reviews Important topics  
Author Message
TAGS:
Senior Manager
Senior Manager
avatar
Joined: 16 Feb 2012
Posts: 260
Concentration: Finance, Economics
Followers: 4

Kudos [?]: 67 [0], given: 114

GMAT ToolKit User
If mv < pv < 0, is v > 0? [#permalink] New post 20 Jun 2012, 01:53
5
This post was
BOOKMARKED
00:00
A
B
C
D
E

Difficulty:

  45% (medium)

Question Stats:

52% (01:36) correct 48% (00:33) wrong based on 158 sessions
If mv < pv < 0, is v > 0?

(1) m < p
(2) m < 0
[Reveal] Spoiler: OA

_________________

Kudos if you like the post!

Failing to plan is planning to fail.

Expert Post
17 KUDOS received
Math Expert
User avatar
Joined: 02 Sep 2009
Posts: 23509
Followers: 3515

Kudos [?]: 26674 [17] , given: 2714

Re: If mv < pv < 0, is v > 0? [#permalink] New post 20 Jun 2012, 01:55
17
This post received
KUDOS
Expert's post
3
This post was
BOOKMARKED
If mv < pv< 0, is v > 0?

Given: mv<pv<0 --> two cases:

If v>0 then when dividing by v we would have: m<p<0;
If v<0 then when dividing by v we would have: m>p>0 (flip the sign when dividing by negative value).

(1) m < p --> we have the first case, so v>0. Sufficient.
(2) m < 0 --> we have the first case, so v>0. Sufficient.

Answer: D.

Hope it's clear.
_________________

NEW TO MATH FORUM? PLEASE READ THIS: ALL YOU NEED FOR QUANT!!!

PLEASE READ AND FOLLOW: 11 Rules for Posting!!!

RESOURCES: [GMAT MATH BOOK]; 1. Triangles; 2. Polygons; 3. Coordinate Geometry; 4. Factorials; 5. Circles; 6. Number Theory; 7. Remainders; 8. Overlapping Sets; 9. PDF of Math Book; 10. Remainders; 11. GMAT Prep Software Analysis NEW!!!; 12. SEVEN SAMURAI OF 2012 (BEST DISCUSSIONS) NEW!!!; 12. Tricky questions from previous years. NEW!!!;

COLLECTION OF QUESTIONS:
PS: 1. Tough and Tricky questions; 2. Hard questions; 3. Hard questions part 2; 4. Standard deviation; 5. Tough Problem Solving Questions With Solutions; 6. Probability and Combinations Questions With Solutions; 7 Tough and tricky exponents and roots questions; 8 12 Easy Pieces (or not?); 9 Bakers' Dozen; 10 Algebra set. ,11 Mixed Questions, 12 Fresh Meat

DS: 1. DS tough questions; 2. DS tough questions part 2; 3. DS tough questions part 3; 4. DS Standard deviation; 5. Inequalities; 6. 700+ GMAT Data Sufficiency Questions With Explanations; 7 Tough and tricky exponents and roots questions; 8 The Discreet Charm of the DS ; 9 Devil's Dozen!!!; 10 Number Properties set., 11 New DS set.


What are GMAT Club Tests?
25 extra-hard Quant Tests

Get the best GMAT Prep Resources with GMAT Club Premium Membership

Expert Post
4 KUDOS received
Veritas Prep GMAT Instructor
User avatar
Joined: 16 Oct 2010
Posts: 4785
Location: Pune, India
Followers: 1123

Kudos [?]: 5092 [4] , given: 164

Re: If mv < pv < 0, is v > 0? [#permalink] New post 20 Jun 2012, 03:00
4
This post received
KUDOS
Expert's post
2
This post was
BOOKMARKED
Stiv wrote:
If mv < pv < 0, is v > 0?

(1) m < p
(2) m < 0


You can solve such questions easily by re-stating '< 0' as 'negative' and '> 0' as 'positive'.

mv < pv < 0 implies both 'pv' and 'mv' are negative and mv is more negative i.e. has greater absolute value as compared to pv. Since v will be equal in both, m will have a greater absolute value as compared to p.

When will mv and pv both be negative? In 2 cases:
Case 1: When v is positive and m and p are both negative.
Case 2: When v is negative and m and p are both positive.

So how will we know whether v is positive? If we know that at least one of m and p is negative, then v must be positive. If at least one of m and p is positive, then v must be negative.

Now that we understand the question and the implications of the given data, we go on to the statements.

Stmnt 1: m < p
m has greater absolute value as compared to p but it is still smaller than p. This means m must be negative. If m is negative, p must be negative too which implies that v must be positive. Sufficient.

Stmnt 2: m < 0
Very straight forward. m and p both must be negative and v must be positive. Sufficient.

Answer (D)

Check this post for a very similar question:
if-zy-xy-0-is-x-z-x-z-101210.html#p1098097
_________________

Karishma
Veritas Prep | GMAT Instructor
My Blog

Save $100 on Veritas Prep GMAT Courses And Admissions Consulting
Enroll now. Pay later. Take advantage of Veritas Prep's flexible payment plan options.

Veritas Prep Reviews

Director
Director
avatar
Joined: 29 Nov 2012
Posts: 930
Followers: 11

Kudos [?]: 275 [0], given: 543

Re: If mv < pv < 0, is v > 0? [#permalink] New post 05 Mar 2013, 06:09
I made a mistake of ignoring the info in the stiumulus and picked B instead silly error great explanation Bunuel And Karishma
_________________

Click +1 Kudos if my post helped...

Amazing Free video explanation for all Quant questions from OG 13 and much more http://www.gmatquantum.com/og13th/

GMAT Prep software What if scenarios gmat-prep-software-analysis-and-what-if-scenarios-146146.html

Intern
Intern
avatar
Status: Aiming for 750+
Joined: 16 Oct 2013
Posts: 20
GMAT Date: 05-05-2014
Followers: 0

Kudos [?]: 8 [0], given: 15

Re: If mv < pv < 0, is v > 0? [#permalink] New post 29 Jan 2014, 23:53
I am sorry but I somehow still dont understand. I chose B, which I know is incorrect.

Well, let me tell you why I do not understand the Stmt. 1 is sufficient.

Given: mv<pv<0. It is given that MV and PV ARE -ve. This means, When V is -ve, M,P are +ve and vice versa.

I tabulated as below:

m v p mv pv
+ - + - -
- + - - -

Now, statement 1 says m < p. It does not say if they are negative or positive.

So, it is possible that:

3 < 5 (m=3 and p=5) and this means V is -ve

OR

-3 < -1 (m=-3 and p=-1) and this means V is +ve

Different answers so stmt 1 should be insufficient. What I am missing?

Thank you!
Expert Post
1 KUDOS received
Math Expert
User avatar
Joined: 02 Sep 2009
Posts: 23509
Followers: 3515

Kudos [?]: 26674 [1] , given: 2714

Re: If mv < pv < 0, is v > 0? [#permalink] New post 30 Jan 2014, 00:20
1
This post received
KUDOS
Expert's post
flower07 wrote:
I am sorry but I somehow still dont understand. I chose B, which I know is incorrect.

Well, let me tell you why I do not understand the Stmt. 1 is sufficient.

Given: mv<pv<0. It is given that MV and PV ARE -ve. This means, When V is -ve, M,P are +ve and vice versa.

I tabulated as below:

m v p mv pv
+ - + - -
- + - - -

Now, statement 1 says m < p. It does not say if they are negative or positive.

So, it is possible that:

3 < 5 (m=3 and p=5) and this means V is -ve


OR

-3 < -1 (m=-3 and p=-1) and this means V is +ve

Different answers so stmt 1 should be insufficient. What I am missing?

Thank you!


Ask yourself: if m=3 and p=5 and v is negative, say -1, does mv < pv< 0 hold true?
_________________

NEW TO MATH FORUM? PLEASE READ THIS: ALL YOU NEED FOR QUANT!!!

PLEASE READ AND FOLLOW: 11 Rules for Posting!!!

RESOURCES: [GMAT MATH BOOK]; 1. Triangles; 2. Polygons; 3. Coordinate Geometry; 4. Factorials; 5. Circles; 6. Number Theory; 7. Remainders; 8. Overlapping Sets; 9. PDF of Math Book; 10. Remainders; 11. GMAT Prep Software Analysis NEW!!!; 12. SEVEN SAMURAI OF 2012 (BEST DISCUSSIONS) NEW!!!; 12. Tricky questions from previous years. NEW!!!;

COLLECTION OF QUESTIONS:
PS: 1. Tough and Tricky questions; 2. Hard questions; 3. Hard questions part 2; 4. Standard deviation; 5. Tough Problem Solving Questions With Solutions; 6. Probability and Combinations Questions With Solutions; 7 Tough and tricky exponents and roots questions; 8 12 Easy Pieces (or not?); 9 Bakers' Dozen; 10 Algebra set. ,11 Mixed Questions, 12 Fresh Meat

DS: 1. DS tough questions; 2. DS tough questions part 2; 3. DS tough questions part 3; 4. DS Standard deviation; 5. Inequalities; 6. 700+ GMAT Data Sufficiency Questions With Explanations; 7 Tough and tricky exponents and roots questions; 8 The Discreet Charm of the DS ; 9 Devil's Dozen!!!; 10 Number Properties set., 11 New DS set.


What are GMAT Club Tests?
25 extra-hard Quant Tests

Get the best GMAT Prep Resources with GMAT Club Premium Membership

Intern
Intern
avatar
Status: Aiming for 750+
Joined: 16 Oct 2013
Posts: 20
GMAT Date: 05-05-2014
Followers: 0

Kudos [?]: 8 [0], given: 15

Re: If mv < pv < 0, is v > 0? [#permalink] New post 30 Jan 2014, 00:31
Bunuel wrote:
Ask yourself: if m=3 and p=5 and v is negative, say -1, does mv < pv< 0 hold true?


Aha!! I get it now. So, when m=3, p=5 and v is -ve, mv (-3) becomes > pv (-5) making the given condition void.

So, Stmt 1 is sufficient. Great learning for the day. (This makes me wanna repeat to myself - When you pick numbers, quickly plug in to see if they are correct)

I also figured this just now:

mv < pv < 0
(mv-pv) <0
v(m-p)<0

If v is +ve, m<p (This is what the Statement 1 is saying too)
If v is -ve, m>p

So, the answer is D.

Thank you!!
Re: If mv < pv < 0, is v > 0?   [#permalink] 30 Jan 2014, 00:31
    Similar topics Author Replies Last post
Similar
Topics:
2 Experts publish their posts in the topic If mv < pv< 0, is v > 0? enigma123 3 20 May 2012, 13:14
4 Experts publish their posts in the topic If mv < pv < 0, is v > 0? onesome68 10 03 Sep 2008, 10:44
If mv<pv<0 is v>0? buckkitty 4 24 Feb 2007, 16:35
If mv < pv < 0, is v>0? 1) m < p 2) m < 0 lfox2 4 20 Dec 2006, 05:14
If mv<pv<0 , is v > 0 ? (1) m < p (2) m < 0 copper_waters 1 16 Feb 2006, 05:38
Display posts from previous: Sort by

If mv < pv < 0, is v > 0?

  Question banks Downloads My Bookmarks Reviews Important topics  


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

Powered by phpBB © phpBB Group and phpBB SEO

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®.