It is currently 18 Nov 2017, 13:12

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

Is p/m>0? 1) p>m 2) pm>0.

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

Hide Tags

Expert Post
Math Revolution GMAT Instructor
User avatar
P
Joined: 16 Aug 2015
Posts: 4314

Kudos [?]: 3035 [0], given: 0

GPA: 3.82
Premium Member CAT Tests
Is p/m>0? 1) p>m 2) pm>0. [#permalink]

Show Tags

New post 02 Aug 2017, 00:56
00:00
A
B
C
D
E

Difficulty:

  35% (medium)

Question Stats:

64% (00:30) correct 36% (00:27) wrong based on 45 sessions

HideShow timer Statistics

Is p/m>0?

1) p>m
2) pm>0.
[Reveal] Spoiler: OA

_________________

MathRevolution: Finish GMAT Quant Section with 10 minutes to spare
The one-and-only World’s First Variable Approach for DS and IVY Approach for PS with ease, speed and accuracy.
Find a 10% off coupon code for GMAT Club members.
“Receive 5 Math Questions & Solutions Daily”
Unlimited Access to over 120 free video lessons - try it yourself
See our Youtube demo

Kudos [?]: 3035 [0], given: 0

Expert Post
Math Expert
User avatar
P
Joined: 02 Aug 2009
Posts: 5201

Kudos [?]: 5826 [0], given: 117

Re: Is p/m>0? 1) p>m 2) pm>0. [#permalink]

Show Tags

New post 02 Aug 2017, 02:46
MathRevolution wrote:
Is p/m>0?

1) p>m
2) pm>0.


\(\frac{p}{m}>0\)..
it is possible ONLY when both p and m are of SAME sign

lets see the statements

1) p>m
if p = 2, m= 3.. yes
if p= -2, m=3...no
insuff

2) pm>0
here it tells us that both p and m are of SAMR sign..
hence suff

B
_________________

Absolute modulus :http://gmatclub.com/forum/absolute-modulus-a-better-understanding-210849.html#p1622372
Combination of similar and dissimilar things : http://gmatclub.com/forum/topic215915.html

Kudos [?]: 5826 [0], given: 117

Director
Director
User avatar
P
Joined: 04 Dec 2015
Posts: 696

Kudos [?]: 315 [0], given: 261

Location: India
Concentration: Technology, Strategy
Schools: ISB '19, IIMA , IIMB, XLRI
WE: Information Technology (Consulting)
GMAT ToolKit User CAT Tests
Re: Is p/m>0? 1) p>m 2) pm>0. [#permalink]

Show Tags

New post 02 Aug 2017, 02:58
MathRevolution wrote:
Is p/m>0?

1) p>m
2) pm>0.


\(\frac{p}{m}>0\)

Only when \(p\) and \(m\) both are positive or both are negative (ie; \(p\) and \(m\) both should have same sign), \(\frac{p}{m}\) will be greater than \(0\).

1) \(p>m\)

We cannot find the sign of \(p\) or \(m\). Hence I is Not Sufficient.

2) \(pm>0\)

\(pm\) is greater than \(0\), that is; \(p\) and \(m\) both are positive or both are negative (ie; \(p\) and \(m\) both have same sign).

Hence II is Sufficient.

Answer (B)...

Kudos [?]: 315 [0], given: 261

Intern
Intern
avatar
B
Joined: 15 Oct 2016
Posts: 11

Kudos [?]: 6 [0], given: 7

Is p/m>0? 1) p>m 2) pm>0. [#permalink]

Show Tags

New post 02 Aug 2017, 04:48
MathRevolution wrote:
Is p/m>0?

1) p>m
2) pm>0.


Remember, if the product of any number of variables is > or < 0 then so will be the case for the product of the reciprocals of those variables.

In fact, to generalize any combination (either as direct products or products of the reciprocals) of a set of variables will yield the same parity wrt 0.

For example abcd/ef >0=> abcdef>0, ab/cdef>0, a/bcdef>0, abc/def>0, so on and so forth.

Statement 1: p or m could have all sorts of parities (both negatives, both positives, 1 neg + 1 pos, 1 pos + 1 neg). Not sufficient.
Statement 2: In light of our discussion above Sufficient

Kudos [?]: 6 [0], given: 7

Expert Post
Math Revolution GMAT Instructor
User avatar
P
Joined: 16 Aug 2015
Posts: 4314

Kudos [?]: 3035 [0], given: 0

GPA: 3.82
Premium Member CAT Tests
Re: Is p/m>0? 1) p>m 2) pm>0. [#permalink]

Show Tags

New post 04 Aug 2017, 02:18
==> If you modify the original condition and the question, from is p/m>0?, you multiply \(m^2\) on both sides, you get (Squared number is always positive, so even if you multiply, the inequality sign doesn't change) \(p/m(m^2)>0(m^2)\)?, which becomes pm>0?.

The answer is B.
Answer: B
_________________

MathRevolution: Finish GMAT Quant Section with 10 minutes to spare
The one-and-only World’s First Variable Approach for DS and IVY Approach for PS with ease, speed and accuracy.
Find a 10% off coupon code for GMAT Club members.
“Receive 5 Math Questions & Solutions Daily”
Unlimited Access to over 120 free video lessons - try it yourself
See our Youtube demo

Kudos [?]: 3035 [0], given: 0

Re: Is p/m>0? 1) p>m 2) pm>0.   [#permalink] 04 Aug 2017, 02:18
Display posts from previous: Sort by

Is p/m>0? 1) p>m 2) pm>0.

  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®.