Last visit was: 25 Jul 2024, 08:57 It is currently 25 Jul 2024, 08:57
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
SORT BY:
Date
Tags:
Show Tags
Hide Tags
avatar
Intern
Intern
Joined: 05 Oct 2012
Posts: 6
Own Kudos [?]: 3 [3]
Given Kudos: 37
Send PM
Most Helpful Reply
User avatar
VP
VP
Joined: 02 Jul 2012
Posts: 1001
Own Kudos [?]: 3160 [5]
Given Kudos: 116
Location: India
Concentration: Strategy
GMAT 1: 740 Q49 V42
GPA: 3.8
WE:Engineering (Energy and Utilities)
Send PM
General Discussion
avatar
Manager
Manager
Joined: 25 Jun 2012
Posts: 50
Own Kudos [?]: 282 [0]
Given Kudos: 21
Location: India
WE:General Management (Energy and Utilities)
Send PM
avatar
Intern
Intern
Joined: 05 Oct 2012
Posts: 6
Own Kudos [?]: 3 [0]
Given Kudos: 37
Send PM
Re: If 2p not equal to -q, is (2p - q)/(2p + q) > 1? [#permalink]
bhavinshah5685 wrote:
2p-q>2p+q
=> 2p-2p>q+q
=> 2q<0
=> q<0
which is stated in Statement 2.
Now statment 1 says p<0

Take values of p=-1 and q=-2
keeping this in our original inqulality, we get
2(-1)-(-2)/2(-1)+(-2) > 1
=> -2+2/-2-2 > 1
=> 0 > 1 which is not possible


You can check by taking values p=-2 and q=-1
u will get 0.6>1 whihc is not possible so, both the statements are not sufficeint to answer the question So answer E...

I dont know whether my approach is right or not..



Ok. yours almost same approach with me. but this is yes or no question. right? If we can aswer to this question as NO with (b), then b is the answer.
avatar
Intern
Intern
Joined: 05 Oct 2012
Posts: 6
Own Kudos [?]: 3 [0]
Given Kudos: 37
Send PM
Re: If 2p not equal to -q, is (2p - q)/(2p + q) > 1? [#permalink]
Ok. thanks. I think I have missed that point.So only we could solve this equation as giving by numbers.
User avatar
VP
VP
Joined: 02 Jul 2012
Posts: 1001
Own Kudos [?]: 3160 [0]
Given Kudos: 116
Location: India
Concentration: Strategy
GMAT 1: 740 Q49 V42
GPA: 3.8
WE:Engineering (Energy and Utilities)
Send PM
Re: If 2p not equal to -q, is (2p - q)/(2p + q) > 1? [#permalink]
eeakkan wrote:
Ok. thanks. I think I have missed that point.So only we could solve this equation as giving by numbers.

Picking numbers may not be the only way to solve it. But it is a very simple way to solve it. After picking numbers, we can see that we need to know wbout an additional parameter ie whether |2p| > |q| to decide on whether the given equation is greater than 1.

Kudos Please... If my post helped.
User avatar
Current Student
Joined: 15 Sep 2012
Status:Done with formalities.. and back..
Posts: 524
Own Kudos [?]: 1201 [2]
Given Kudos: 23
Location: India
Concentration: Strategy, General Management
Schools: Olin - Wash U - Class of 2015
WE:Information Technology (Computer Software)
Send PM
Re: If 2p not equal to -q, is (2p - q)/(2p + q) > 1? [#permalink]
2
Kudos
eeakkan wrote:
Ok. thanks. I think I have missed that point.So only we could solve this equation as giving by numbers.

No, it could be solved easily algebrically as well.

question is: is (2p-q)/(2p+q)>1 ?

or (2p-q)/(2p+q) -1 >0

=> (2p-q-2p-q) / (2p+q) >0

=> -2q/(2p+q) >0 ?

=> is 2q/(2p+q) <0

Statement 1: p <0
Doesnt tell us anything
Statement 2: q >0
doesnt tell anything as we dont know what 2p+q would be

Combining, we know that numerator is positive, but still we dont know : denominator could be positive or negative depending on absolute values of p and q.

Hence E it is.
Math Expert
Joined: 02 Sep 2009
Posts: 94616
Own Kudos [?]: 643819 [2]
Given Kudos: 86753
Send PM
Re: If 2p not equal to -q, is (2p - q)/(2p + q) > 1? [#permalink]
2
Kudos
Expert Reply
eeakkan wrote:
If 2p not equal to -q, is (2p-q)/(2p+q)>1?

(1) p<0
(2) q>0

Please help me with this. According to me:

ıf we arrange question: 2p-q>2p+q
then -q>q and
so (B) should be ok. Because if q>0, -q will be always <q.

If 2p not equal to -q, is (2p-q)/(2p+q)>1?[/m]?

Is \(\frac{2p-q}{2p+q}>1\)? --> is \(0>1-\frac{2p-q}{2p+q}\)? --> is \(0>\frac{2p+q-2p+q}{2p+q}\)? --> is \(0>\frac{2q}{2p+q}\)?

(1) \(p<0\). Not sufficient.

(2) \(q>0\). Not sufficient.

(1)+(2) \(p<0\) and \(q>0\) --> the numerator (2q) is positive, but we cannot say whether the denominator {negative (2p)+positive (q)} is positive or negative. Not sufficient.

Answer: E.

The problem with your solution is that when you are writing \(2p-q>2p+q\), you are actually multiplying both sides of inequality by \(2p+q\): never multiply an inequality by variable (or expression with variable) unless you know the sign of variable (or expression with variable). Because if \(2p+q>0\) you should write \(2p-q>2p+q\) BUT if \(2p+q<0\), you should write \(2p-q<2p+q\), (flip the sign when multiplying by negative expression).

Hope it helps.

P.S. Please read carefully and follow: rules-for-posting-please-read-this-before-posting-133935.html Please pay attention to the rules #2 and 3. Thank you.
avatar
Intern
Intern
Joined: 05 Oct 2012
Posts: 6
Own Kudos [?]: 3 [0]
Given Kudos: 37
Send PM
Re: If 2p not equal to -q, is (2p - q)/(2p + q) > 1? [#permalink]
Thanks so much Bunuel. very helpful. I am always in trouble with absolute value and inequality problems.
Math Expert
Joined: 02 Sep 2009
Posts: 94616
Own Kudos [?]: 643819 [1]
Given Kudos: 86753
Send PM
Re: If 2p not equal to -q, is (2p - q)/(2p + q) > 1? [#permalink]
1
Kudos
Expert Reply
eeakkan wrote:
Thanks so much Bunuel. very helpful. I am always in trouble with absolute value and inequality problems.


Check our question banks here: viewforumtags.php

INEQUALITIES:
DS questions on inequalities: search.php?search_id=tag&tag_id=184
PS questions on inequalities: search.php?search_id=tag&tag_id=189

Hard inequality and absolute value questions with detailed solutions: inequality-and-absolute-value-questions-from-my-collection-86939-40.html

The following threads might also be helpful:
x2-4x-94661.html#p731476
inequalities-trick-91482.html
data-suff-inequalities-109078.html
range-for-variable-x-in-a-given-inequality-109468.html?hilit=extreme#p873535
everything-is-less-than-zero-108884.html?hilit=extreme#p868863

ABSOLUTE VALUE:
Check Absolute Value chapter of Math Book: math-absolute-value-modulus-86462.html

DS questions on absolute value to practice: search.php?search_id=tag&tag_id=37
PS questions on absolute value to practice: search.php?search_id=tag&tag_id=58

Hope it helps.
avatar
Intern
Intern
Joined: 05 Oct 2012
Posts: 6
Own Kudos [?]: 3 [0]
Given Kudos: 37
Send PM
Re: If 2p not equal to -q, is (2p - q)/(2p + q) > 1? [#permalink]
Thanks again Bunuel for so much help. Those threads marvellous.
avatar
Intern
Intern
Joined: 21 Oct 2012
Posts: 19
Own Kudos [?]: 70 [1]
Given Kudos: 15
GMAT Date: 01-19-2013
Send PM
Re: If 2p not equal to -q, is (2p - q)/(2p + q) > 1? [#permalink]
1
Kudos
Bunuel wrote:
never multiply an inequality by variable (or expression with variable) unless you know the sign of variable (or expression with variable). Because if \(2p+q>0\) you should write \(2p-q>2p+q\) BUT if \(2p+q<0\), you should write \(2p-q<2p+q\), (flip the sign when multiplying by negative expression).



Hi Bonuel, I multiplied both numerator and denominator on (2p+q), I think we can do that. Thus we have (4p^2-q^2)/(2p+q)^2>1
Now we can get rid of denominator as it is always positive. Eventually it comes to q^2+2pq<0.

Considering (1) and (2) together q^2<2pq or q<2p. And of course we don't know that.

You solution is much faster and better! Thanks
User avatar
Non-Human User
Joined: 09 Sep 2013
Posts: 34092
Own Kudos [?]: 853 [0]
Given Kudos: 0
Send PM
Re: If 2p not equal to -q, is (2p - q)/(2p + q) > 1? [#permalink]
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.
GMAT Club Bot
Re: If 2p not equal to -q, is (2p - q)/(2p + q) > 1? [#permalink]
Moderator:
Math Expert
94614 posts