Oct 16 08:00 PM PDT  09:00 PM PDT EMPOWERgmat is giving away the complete Official GMAT Exam Pack collection worth $100 with the 3 Month Pack ($299) Oct 19 07:00 AM PDT  09:00 AM PDT Does GMAT RC seem like an uphill battle? eGMAT is conducting a free webinar to help you learn reading strategies that can enable you to solve 700+ level RC questions with at least 90% accuracy in less than 10 days. Sat., Oct 19th at 7 am PDT Oct 20 07:00 AM PDT  09:00 AM PDT Get personalized insights on how to achieve your Target Quant Score. Oct 22 08:00 PM PDT  09:00 PM PDT On Demand for $79. For a score of 4951 (from current actual score of 40+) AllInOne Standard & 700+ Level Questions (150 questions)
Author 
Message 
TAGS:

Hide Tags

EMPOWERgmat Instructor
Status: GMAT Assassin/CoFounder
Affiliations: EMPOWERgmat
Joined: 19 Dec 2014
Posts: 15262
Location: United States (CA)

Data Sufficiency Pack 3, Question 2) If gh < 0 < gk...
[#permalink]
Show Tags
07 Nov 2015, 16:23
Question Stats:
65% (01:44) correct 35% (01:31) wrong based on 117 sessions
HideShow timer Statistics
QUANT 4PACK SERIES Data Sufficiency Pack 3 Question 2 If gh < 0 < gk...If gh < 0 < gk, is g < 0? 1) k < h 2) 0 < h 48 Hour Window Answer & Explanation WindowEarn KUDOS! Post your answer and explanation. OA, and explanation will be posted after the 48 hour window closes. This question is part of the Quant 4Pack seriesScroll Down For Official Explanation
Official Answer and Stats are available only to registered users. Register/ Login.
_________________
Contact Rich at: Rich.C@empowergmat.comThe Course Used By GMAT Club Moderators To Earn 750+ souvik101990 Score: 760 Q50 V42 ★★★★★ ENGRTOMBA2018 Score: 750 Q49 V44 ★★★★★



CEO
Joined: 20 Mar 2014
Posts: 2601
Concentration: Finance, Strategy
GPA: 3.7
WE: Engineering (Aerospace and Defense)

Re: Data Sufficiency Pack 3, Question 2) If gh < 0 < gk...
[#permalink]
Show Tags
07 Nov 2015, 17:18
EMPOWERgmatRichC wrote: QUANT 4PACK SERIES Data Sufficiency Pack 3 Question 2 If gh < 0 < gk...If gh < 0 < gk, is g < 0? 1) k < h 2) 0 < h 48 Hour Window Answer & Explanation WindowEarn KUDOS! Post your answer and explanation. OA, and explanation will be posted after the 48 hour window closes. This question is part of the Quant 4Pack seriesScroll Down For Official Explanation Given gh<0<gk > gh<gk , is g<0? Statement 1, k<h > hk>0 but as gh<gk > g(hk)< 0 > as hk>0 the only way g(hk)< 0 is for g<0, "yes" . Sufficient. Statement 2, h>0 > as gh<0 and h>0 > g<0, "yes". Sufficient. D is the correct answer.



Manager
Joined: 27 Jul 2014
Posts: 235
GPA: 3.76

Re: Data Sufficiency Pack 3, Question 2) If gh < 0 < gk...
[#permalink]
Show Tags
08 Nov 2015, 18:49
IMO D is correct'
I] k<h but gh<gk so this only possible when g<0 . Sufficient.
II] h>0 but gh<0 again this only possible when g<0
Sufficient.
So D is the correct answer.



Intern
Joined: 10 Mar 2014
Posts: 19

Re: Data Sufficiency Pack 3, Question 2) If gh < 0 < gk...
[#permalink]
Show Tags
09 Nov 2015, 02:57
Please someone correct me. This is how I approached the problem.
gh<0 implies either g or h <0 ; (h can be >0 or h <0) gk> 0 leads to scenarios : either bot g and k are > 0 or g and k are < 0
second statement was pretty simple to evaluate.
first statement : k< h ; this is possible when both k and h are positive > g has to be positive ( hence g>0) since the equality gk>0 has to be true. k<h is possible even when k< 0 , (and h< 0 or h> 0 both cases) in which case g has to be <0 for the equality gk>0 to be true. (g<0)
thus not sufficient.
where am i going wrong ?



Math Expert
Joined: 02 Aug 2009
Posts: 7960

Re: Data Sufficiency Pack 3, Question 2) If gh < 0 < gk...
[#permalink]
Show Tags
09 Nov 2015, 04:12
Rk91 wrote: Please someone correct me. This is how I approached the problem.
gh<0 implies either g or h <0 ; (h can be >0 or h <0) gk> 0 leads to scenarios : either bot g and k are > 0 or g and k are < 0
second statement was pretty simple to evaluate.
first statement : k< h ; this is possible when both k and h are positive > g has to be positive ( hence g>0) since the equality gk>0 has to be true. k<h is possible even when k< 0 , (and h< 0 or h> 0 both cases) in which case g has to be <0 for the equality gk>0 to be true. (g<0)
thus not sufficient.
where am i going wrong ? hi, if k<h and both are multiplied by same number... if the number is positive, x*k<x*h.. only if we multiply both numbers by a negative number, there is a reversal of sign ie x*k>x*h so x or g here has to be a negative number since gh < 0 < gk.. now why is your reasoning flawed? why are you taking the two numbers to be positive.. both can be negative or one can be negative and other positive.. here the second is the case k is ive and h is positive and therefore their signs change when multiplied by a ive number.. hope it was helpful
_________________



Intern
Joined: 03 Oct 2012
Posts: 8
Concentration: Strategy, Finance

Re: Data Sufficiency Pack 3, Question 2) If gh < 0 < gk...
[#permalink]
Show Tags
09 Nov 2015, 05:02
Hi,
Below was my thought process.
Question stem: gh<0<gk, g<0?
Below is what I inferred from the question stem: gk>0 i.e. g,k<0 or g,k>0 gh<0 i.e. g<0, h>0 or g>0, h<0
1: k<h For statement 1 to comply with question stem (gh<0<gk) , I have to multiply on both sides with a negative value i.e. (ve mutliplier)*(k) > (ve multiplier) * (h). Therefore, g will have to be that negative multiplier. i.e. g<0. I could not think of any other way the sign will get flipped. Sufficient
2: 0< h Based on the question stem, if h>0, g<0. Sufficient
Hope this helps.
Aadi



CEO
Joined: 20 Mar 2014
Posts: 2601
Concentration: Finance, Strategy
GPA: 3.7
WE: Engineering (Aerospace and Defense)

Re: Data Sufficiency Pack 3, Question 2) If gh < 0 < gk...
[#permalink]
Show Tags
09 Nov 2015, 05:29
Rk91 wrote: Please someone correct me. This is how I approached the problem.
gh<0 implies either g or h <0 ; (h can be >0 or h <0) gk> 0 leads to scenarios : either bot g and k are > 0 or g and k are < 0
second statement was pretty simple to evaluate.
first statement : k< h ; this is possible when both k and h are positive > g has to be positive ( hence g>0) since the equality gk>0 has to be true. k<h is possible even when k< 0 , (and h< 0 or h> 0 both cases) in which case g has to be <0 for the equality gk>0 to be true. (g<0)
thus not sufficient.
where am i going wrong ? Whenever you are given variables to play with in inequalities, be very careful about your assumptions. You are given, gh<0<gk > gh<0 , 2 cases either g<0 and h>0 or g>0 and h<0 Similarly, gk>0 > g>0 k>0 and g<0 and k<0 Combine the 4 cases by keeping the sign of g as constant, you get the following 2 cases, g>0 h<0 k>0 and g<0 h>0 k<0 Now look at statement 1, h>k > you can eliminate the case g<0 h>0 k<0, thus leaving you with only 1 case of g>0 h<0 k>0, making this statement sufficient to answer the question "is g<0". Hope this helps. Statement in red above is not the correct interpretation of the given variables. Statement in green above is also not correct.



Intern
Joined: 10 Mar 2014
Posts: 19

Re: Data Sufficiency Pack 3, Question 2) If gh < 0 < gk...
[#permalink]
Show Tags
09 Nov 2015, 07:12
Ohhhhk!! (lightbulb!) Now I feel so dumb!!!! Thanks a lot guys for the explanations! Really appreciate it



Math Revolution GMAT Instructor
Joined: 16 Aug 2015
Posts: 8011
GPA: 3.82

Re: Data Sufficiency Pack 3, Question 2) If gh < 0 < gk...
[#permalink]
Show Tags
10 Nov 2015, 11:54
Forget conventional ways of solving math questions. In DS, Variable approach is the easiest and quickest way to find the answer without actually solving the problem. Remember equal number of variables and independent equations ensures a solution. If gh < 0 < gk, is g < 0? 1) k < h 2) 0 < h We can get gh<gk, or ghgk<0, or g(hk)<0에서 g<0? > hk>0?, or h>k? when we modify the question. Condition 1 answers the question 'yes' so it is sufficient, Condition 2 also gives gh<0, and when h>0, g<0 so this is also sufficient; the answer becomes (D). Once we modify the original condition and the question according to the variable approach method 1, we can solve approximately 30% of DS questions.
_________________
MathRevolution: Finish GMAT Quant Section with 10 minutes to spareThe oneandonly World’s First Variable Approach for DS and IVY Approach for PS with ease, speed and accuracy. "Only $79 for 1 month Online Course""Free Resources30 day online access & Diagnostic Test""Unlimited Access to over 120 free video lessons  try it yourself"



EMPOWERgmat Instructor
Status: GMAT Assassin/CoFounder
Affiliations: EMPOWERgmat
Joined: 19 Dec 2014
Posts: 15262
Location: United States (CA)

Re: Data Sufficiency Pack 3, Question 2) If gh < 0 < gk...
[#permalink]
Show Tags
10 Nov 2015, 17:59
EMPOWERgmatRichC wrote: QUANT 4PACK SERIES Data Sufficiency Pack 3 Question 2 If gh < 0 < gk...
If gh < 0 < gk, is g < 0?
1) k < h 2) 0 < h
Hi All, This prompt is based heavily on NUMBER PROPERTY rules. As such, you can solve it by TESTing VALUES or by using Number Property Rules. Since the prompt itself starts us off with a Number Property rule, I'm going to start by breaking down those possibilities. gh < 0 < gk From this inequality, we know two things: 1) gh is NEGATIVE, so one of those variables is negative while the other is positive 2) gk is POSITIVE, so the two variables are either both negative OR both positive When combining those pieces of information, we have a limited number of outcomes... gh < 0 < gk ()(+) < 0 < ()() (+)() < 0 < (+)(+) Thus, having information about one variable will impact the rest of the other variables. We're asked if g is less than 0. This is a YES/NO question. 1) k < h From the above information, we know that k and h CANNOT be the same sign (one will be positive and the other will be negative, depending on g). Since k is LESS than h, this means that k MUST be NEGATIVE and h MUST be POSITIVE. This fits the second 'option' (above) and proves that g MUST be POSITIVE. Thus, the answer to the question is ALWAYS NO. Fact 1 is SUFFICIENT 2) 0 < h This Fact proves that MUST be POSITIVE. This also fits just the second 'option' (above) and proves that g MUST be POSITIVE. Thus, the answer to the question is ALWAYS NO. Fact 2 is SUFFICIENT Final Answer: GMAT assassins aren't born, they're made, Rich
_________________
Contact Rich at: Rich.C@empowergmat.comThe Course Used By GMAT Club Moderators To Earn 750+ souvik101990 Score: 760 Q50 V42 ★★★★★ ENGRTOMBA2018 Score: 750 Q49 V44 ★★★★★



NonHuman User
Joined: 09 Sep 2013
Posts: 13172

Re: Data Sufficiency Pack 3, Question 2) If gh < 0 < gk...
[#permalink]
Show Tags
30 Oct 2018, 08:56
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.
_________________




Re: Data Sufficiency Pack 3, Question 2) If gh < 0 < gk...
[#permalink]
30 Oct 2018, 08:56






