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

 It is currently 24 Oct 2016, 16:46

### 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

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

# Events & Promotions

###### Events & Promotions in June
Open Detailed Calendar

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

Author Message
TAGS:

### Hide Tags

Director
Status: Finally Done. Admitted in Kellogg for 2015 intake
Joined: 25 Jun 2011
Posts: 537
Location: United Kingdom
GMAT 1: 730 Q49 V45
GPA: 2.9
WE: Information Technology (Consulting)
Followers: 71

Kudos [?]: 2702 [0], given: 217

If mv < pv< 0, is v > 0? [#permalink]

### Show Tags

20 May 2012, 14:14
4
This post was
BOOKMARKED
00:00

Difficulty:

55% (hard)

Question Stats:

55% (01:43) correct 45% (00:43) wrong based on 111 sessions

### HideShow timer Statistics

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

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

_________________

Best Regards,
E.

MGMAT 1 --> 530
MGMAT 2--> 640
MGMAT 3 ---> 610
GMAT ==> 730

VP
Joined: 24 Jul 2011
Posts: 1081
GMAT 1: 780 Q51 V48
GRE 1: 1540 Q800 V740
Followers: 113

Kudos [?]: 504 [0], given: 18

### Show Tags

20 May 2012, 18:18
Note that both mv and pv are negative.

Statement 1: m<p
=> mv<pv if v is positive (and is given to us)
=> mv>pv is v is negative

Therefore v is positive. Sufficient.

Statement 2: m<0
=> mv<0 only if v is positive (and this is given to us)

Therefore v is positive.

Sufficient.

D it is.
_________________

GyanOne | Top MBA Rankings and MBA Admissions Blog

Premium MBA Essay Review|Best MBA Interview Preparation|Exclusive GMAT coaching

Get a FREE Detailed MBA Profile Evaluation | Call us now +91 98998 31738

Math Expert
Joined: 02 Sep 2009
Posts: 35275
Followers: 6636

Kudos [?]: 85570 [2] , given: 10237

Re: If mv < pv< 0, is v > 0? [#permalink]

### Show Tags

21 May 2012, 01:17
2
KUDOS
Expert's post
1
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.

Hope it's clear.
_________________
Manager
Joined: 06 Apr 2010
Posts: 83
Followers: 2

Kudos [?]: 34 [0], given: 2

Re: If mv < pv< 0, is v > 0? [#permalink]

### Show Tags

23 May 2012, 02:49
If mv < pv< 0, is v > 0?
from here, we know that:
mv < 0 -> if m is +, V must be -, if m is - then v is + (they must be opposite to be negative)
pv < 0 -> if p is +, V must be - ,if p is -, then v is + (they must be opposite to be negative)
mv < pv -> if v is +, then m < p,if v is - then m > p (divide both side by v,dont forget to flip inequality sign when v is -)

(1) m < p --> so v>0. Sufficient.
(2) m < 0 --> so v>0. Sufficient.
Senior Manager
Joined: 22 Jun 2014
Posts: 456
Concentration: General Management, Technology
GMAT 1: 540 Q45 V20
GPA: 2.49
WE: Information Technology (Computer Software)
Followers: 12

Kudos [?]: 148 [0], given: 91

Re: If mv < pv< 0, is v > 0? [#permalink]

### Show Tags

18 Oct 2014, 02:06
Bunuel wrote:
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.

Hope it's clear.

I understood Bunuel's explanation for statement-1 but following values makes statement-1 insufficient. Please help me understand this:

(1) m<p

lets take v=1, m=-3, p=-2 it gives mv=-3, pv=-2 and hence does not violate mv<pv<0 as -3<-2<0, so v is +ve here
lets take v=-1, m=3, p=2 it gives mv=-3, pv=-2 and hence does not violate mv<pv<0 as -3<-2<0 but v is -ve here

Thanks
_________________

---------------------------------------------------------------
Target - 720-740
helpful post means press '+1' for Kudos!
http://gmatclub.com/forum/information-on-new-gmat-esr-report-beta-221111.html
http://gmatclub.com/forum/list-of-one-year-full-time-mba-programs-222103.html

Math Expert
Joined: 02 Sep 2009
Posts: 35275
Followers: 6636

Kudos [?]: 85570 [0], given: 10237

Re: If mv < pv< 0, is v > 0? [#permalink]

### Show Tags

18 Oct 2014, 02:13
Expert's post
1
This post was
BOOKMARKED
HKD1710 wrote:
Bunuel wrote:
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.

Hope it's clear.

I understood Bunuel's explanation for statement-1 but following values makes statement-1 insufficient. Please help me understand this:

(1) m<p

lets take v=1, m=-3, p=-2 it gives mv=-3, pv=-2 and hence does not violate mv<pv<0 as -3<-2<0, so v is +ve here
lets take v=-1, m=3, p=2 it gives mv=-3, pv=-2 and hence does not violate mv<pv<0 as -3<-2<0 but v is -ve here

Thanks

m = 3 and p = 2 violate the first statement, which says that m < p.
_________________
VP
Joined: 12 Aug 2015
Posts: 1058
Followers: 21

Kudos [?]: 157 [0], given: 310

Re: If mv < pv< 0, is v > 0? [#permalink]

### Show Tags

13 Mar 2016, 09:05
The golden rule to solve statement 1 is => inequality flips sign for mul/div with a negative variable else it retains its sign.
Hence D
_________________

Give me a hell yeah ...!!!!!

Re: If mv < pv< 0, is v > 0?   [#permalink] 13 Mar 2016, 09:05
Similar topics Replies Last post
Similar
Topics:
56 If u(u+v) <> 0 and u > 0 is 1/(u + v) < 1/u + v ? 20 26 Dec 2012, 00:36
100 If mv < pv < 0, is v > 0? 9 20 Jun 2012, 02:53
3 Q1) If mv<pv<0, is v>0 ? 1) m<p 2) m<0 Q2) If 5 10 Aug 2010, 17:25
4 If s^4*v^3*x^7 < 0 , is svx < 0? 1) v < 0 2) x > 11 22 Jan 2010, 05:33
8 If mv < pv < 0, is v > 0? 10 03 Sep 2008, 11:44
Display posts from previous: Sort by