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

It is currently 31 Jul 2014, 19:48

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

In which one of the following choices must p be greater than

  Question banks Downloads My Bookmarks Reviews Important topics  
Author Message
TAGS:
Expert Post
1 KUDOS received
Moderator
Moderator
User avatar
Joined: 01 Sep 2010
Posts: 2330
Followers: 245

Kudos [?]: 2099 [1] , given: 679

In which one of the following choices must p be greater than [#permalink] New post 15 Feb 2012, 10:19
1
This post received
KUDOS
Expert's post
1
This post was
BOOKMARKED
00:00
A
B
C
D
E

Difficulty:

  35% (medium)

Question Stats:

67% (02:14) correct 33% (01:22) wrong based on 114 sessions
In which one of the following choices must p be greater than q?

(A) 0.9^p = 0.9^q
(B) 0.9^p = 0.9^2q
(C) 0.9^p > 0.9^q
(D) 9^p < 9^q
(E) 9^p > 9^q

I need an explanation on this tricky problem.

A) p=q so is not the answer

B) p=2q is not sufficient to answer to our question, because p and q can be negatice or positive; hence q > p or p > q.

C) p>q but in this case we can have for instance 2 > 3 that is false. But if we have for example -1/2 > -1/3 or -2 > -3 are true. So is unclear if p > q.

For D ) and E ) I have applied the similar reasoning.

Thanks GMAT club.
[Reveal] Spoiler: OA

_________________

COLLECTION OF QUESTIONS
Quant: 1. Bunuel Signature Collection - The Next Generation 2. Bunuel Signature Collection ALL-IN-ONE WITH SOLUTIONS 3. Veritas Prep Blog PDF Version
Verbal:1. Best EXTERNAL resources to tackle the GMAT Verbal Section 2. e-GMAT's ALL CR topics-Consolidated 3. New Critical Reasoning question bank by carcass 4. Meaning/Clarity SC Question Bank by Carcass_Souvik 5. e-GMAT's ALL SC topics-Consolidated-2nd Edition 6. The best reading to improve Reading Comprehension

TOEFL iBT
Best resources to tackle each section of the TOEFL iBT

Kaplan Promo CodeKnewton GMAT Discount CodesManhattan GMAT Discount Codes
Expert Post
Math Expert
User avatar
Joined: 02 Sep 2009
Posts: 18856
Followers: 3275

Kudos [?]: 22916 [0], given: 2651

Re: In this exponent problem P > Q ???? [#permalink] New post 15 Feb 2012, 10:32
Expert's post
1
This post was
BOOKMARKED
In which one of the following choices must p be greater than q?

Note that we are asked "which of the following MUST be true, not COULD be true. For such kind of questions if you can prove that a statement is NOT true for one particular set of numbers, it will mean that this statement is not always true and hence not a correct answer.

A. 0.9^p = 0.9^q --> p=q. Discard;
B. 0.9^p = 0.9^2q --> p=2q --> if p=-2 and q=-1 then p<q. Discard;
C. 0.9^p > 0.9^q --> if p=1 and q=2 then then p<q. Discard;
D. 9^p < 9^q --> 9^{p-q}<1 --> p-q<0 --> p<q. Discard;
E. 9^p > 9^q --> 9^{p-q}>1 --> p-q>0 --> p>q. Correct.

Answer: E.
_________________

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
Moderator
Moderator
User avatar
Joined: 01 Sep 2010
Posts: 2330
Followers: 245

Kudos [?]: 2099 [0], given: 679

Re: In this exponent problem P > Q ???? [#permalink] New post 15 Feb 2012, 11:04
Expert's post
Bunuel wrote:
In which one of the following choices must p be greater than q?

Note that we are asked "which of the following MUST be true, not COULD be true. For such kind of questions if you can prove that a statement is NOT true for one particular set of numbers, it will mean that this statement is not always true and hence not a correct answer.

A. 0.9^p = 0.9^q --> p=q. Discard;
B. 0.9^p = 0.9^2q --> p=2q --> if p=-2 and q=-1 then p<q. Discard;
C. 0.9^p > 0.9^q --> if p=1 and q=2 then then p<q. Discard;
D. 9^p < 9^q --> 9^{p-q}<1 --> p-q<0 --> p<q. Discard;
E. 9^p > 9^q --> 9^{p-q}>1 --> p-q>0 --> p>q. Correct.

Answer: E.


Bunuel thanks for the explanation very clear. This was a tricky problem and sometimes I have the propensity to over calculate: I'm wrong ??' do you have a suggestion ?? of course I guess to have idea in which direction I have to go but is not enough to beat problems at high level.....
_________________

COLLECTION OF QUESTIONS
Quant: 1. Bunuel Signature Collection - The Next Generation 2. Bunuel Signature Collection ALL-IN-ONE WITH SOLUTIONS 3. Veritas Prep Blog PDF Version
Verbal:1. Best EXTERNAL resources to tackle the GMAT Verbal Section 2. e-GMAT's ALL CR topics-Consolidated 3. New Critical Reasoning question bank by carcass 4. Meaning/Clarity SC Question Bank by Carcass_Souvik 5. e-GMAT's ALL SC topics-Consolidated-2nd Edition 6. The best reading to improve Reading Comprehension

TOEFL iBT
Best resources to tackle each section of the TOEFL iBT

Expert Post
2 KUDOS received
Veritas Prep GMAT Instructor
User avatar
Joined: 16 Oct 2010
Posts: 4598
Location: Pune, India
Followers: 1043

Kudos [?]: 4562 [2] , given: 162

Re: In which one of the following choices must p be greater than [#permalink] New post 16 Feb 2012, 03:07
2
This post received
KUDOS
Expert's post
carcass wrote:
In which one of the following choices must p be greater than q?

(A) 0.9^p = 0.9^q
(B) 0.9^p = 0.9^2q
(C) 0.9^p > 0.9^q
(D) 9^p < 9^q
(E) 9^p > 9^q

I need an explanation on this tricky problem.

A) p=q so is not the answer

B) p=2q is not sufficient to answer to our question, because p and q can be negatice or positive; hence q > p or p > q.

C) p>q but in this case we can have for instance 2 > 3 that is false. But if we have for example -1/2 > -1/3 or -2 > -3 are true. So is unclear if p > q.

For D ) and E ) I have applied the similar reasoning.

Thanks GMAT club.


This question is tricky. You might end up losing lots of valuable time trying to plug in numbers in each option and getting lost mid-way. The trick is to use exponents theory. I like to use number plugging only where it is apparent that it is useful (e.g. in options A and B above to rule them out in 10 sec) or where I can't think of anything else. The specific theory which helps in dealing with this and similar questions:

If the base is positive, no matter what power you give to it, it will not become negative.
e.g. 5^n must be positive no matter what the value of n is.
The reason is that 5^n is just 5 multiplied by itself n number of times, whatever n is. So this number can never be negative.

Also,
If n is positive, 5^n > 1
If n = 0, 5^n = 1
If n is negative, 0 < 5^n < 1

Another thing, the positive base, a, can lie between one of two ranges - 'between 0 and 1' and 'greater than 1'. We saw what happens if the base is greater than 1 above (in 5^n example)

Let's see what happens when the base lies between 0 and 1:
If n is positive, a^n < 1
If n = 0, a^n = 1
If n is negative, a^n > 1

These relations hold the other way around too. If a is between 0 and 1, and a^n > 1, n must be negative etc.
Plug in values to understand them.

Now look at this question:

In these three options, each term is positive so we can take the term on the right to left hand side so that we have to deal with a single base.

(C)0.9^p > 0.9^q
(0.9)^{p-q} > 1
Here, p-q must be negative i.e. p-q < 0 or p<q (from red above)

(D) 9^p < 9^q
9^{p-q} < 1
p-q < 0 (from blue above) or p < q

(E)9^p > 9^q
9^{p-q} > 1
So p-q > 0 (from green above) or p > q
_________________

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

Manager
Manager
User avatar
Joined: 25 Aug 2011
Posts: 195
Location: India
GMAT 1: 730 Q49 V40
WE: Operations (Insurance)
Followers: 1

Kudos [?]: 53 [0], given: 11

GMAT Tests User
Re: In this exponent problem P > Q ???? [#permalink] New post 22 Feb 2012, 22:07
if x^2 >x^3 : we write x^2-x^3 >0 ie we subtract and dont divide
in this case we are dividinge is that right?



Bunuel wrote:
In which one of the following choices must p be greater than q?

Note that we are asked "which of the following MUST be true, not COULD be true. For such kind of questions if you can prove that a statement is NOT true for one particular set of numbers, it will mean that this statement is not always true and hence not a correct answer.

A. 0.9^p = 0.9^q --> p=q. Discard;
B. 0.9^p = 0.9^2q --> p=2q --> if p=-2 and q=-1 then p<q. Discard;
C. 0.9^p > 0.9^q --> if p=1 and q=2 then then p<q. Discard;
D. 9^p < 9^q --> 9^{p-q}<1 --> p-q<0 --> p<q. Discard;
E. 9^p > 9^q --> 9^{p-q}>1 --> p-q>0 --> p>q. Correct.

Answer: E.
Expert Post
Math Expert
User avatar
Joined: 02 Sep 2009
Posts: 18856
Followers: 3275

Kudos [?]: 22916 [0], given: 2651

Re: In this exponent problem P > Q ???? [#permalink] New post 22 Feb 2012, 22:30
Expert's post
devinawilliam83 wrote:
if x^2 >x^3 : we write x^2-x^3 >0 ie we subtract and dont divide
in this case we are dividinge is that right?



Bunuel wrote:
In which one of the following choices must p be greater than q?

Note that we are asked "which of the following MUST be true, not COULD be true. For such kind of questions if you can prove that a statement is NOT true for one particular set of numbers, it will mean that this statement is not always true and hence not a correct answer.

A. 0.9^p = 0.9^q --> p=q. Discard;
B. 0.9^p = 0.9^2q --> p=2q --> if p=-2 and q=-1 then p<q. Discard;
C. 0.9^p > 0.9^q --> if p=1 and q=2 then then p<q. Discard;
D. 9^p < 9^q --> 9^{p-q}<1 --> p-q<0 --> p<q. Discard;
E. 9^p > 9^q --> 9^{p-q}>1 --> p-q>0 --> p>q. Correct.

Answer: E.


If its given that x^2<x^3 then since x^2>0 then we can reduce by it and write x>1;

But if its given that x>x^3 then since we don't know the sign of x then we can not reduce by it and should rewrite: x(x^2-1)<0 --> (x+1)x(x-1)<0 --> x<-1 or 0<x<1.

Check this for more - Solving Inequalities:
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

As for 9^p<9^q. Since 9^q is positive for any value of q we can divide by it and write 9^{p-q}<1 --> p-q<0.

Hope it helps.
_________________

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
Veritas Prep GMAT Instructor
User avatar
Joined: 16 Oct 2010
Posts: 4598
Location: Pune, India
Followers: 1043

Kudos [?]: 4562 [0], given: 162

Re: In this exponent problem P > Q ???? [#permalink] New post 23 Feb 2012, 01:48
Expert's post
devinawilliam83 wrote:
if x^2 >x^3 : we write x^2-x^3 >0 ie we subtract and dont divide
in this case we are dividinge is that right?



If the variable is given to be non zero, you can divide in an equation and if you also know the sign of the variable, you can divide in an inequality too. (and adjust the inequality according to the sign of the variable)

e.g. x^3 = x. What values can x take?
x can be 0 so we don't divide.
x^3 - x = 0
x(x^2 - 1) = 0
x = 0, 1, -1

Here, if you forget about 0 and divide by x, you get x^2 = 1 so x = +1 or -1. You lose out one solution: x = 0

But in case you have
x^3 = x. What values can x take if x is non zero?
Now you can divide and you will get x = 1 or -1

Similarly, say you have an inequality: x^2 > x^3
If you divide by x^2 thinking it's non negative, you get the range x < 1 which is incorrect since you have to specify that 'x cannot be 0'. It holds for every value less than 1 other than 0.
x^2 > x^3 does not hold for x = 0.

So instead, you can choose to solve in two ways:

1. Take cases and use division: x^2 > x^3
If x \neq 0, we can divide. We get x < 1.
If x = 0, the inequality does not hold. Hence, x \neq 0
Answer: x < 1, x \neq 0

2. Subtract: x^3 - x^2 < 0
x^2 (x - 1) < 0
One of the terms must be negative and the other positive. Since x^2 cannot be negative, x - 1 must be negative (so x < 1) and x^2 must be positive so x \neq 0
Answer: x < 1, x \neq 0

Either way, you will get the same answer (obviously!)

In this question, as Bunuel said, 9^q must be positive. It cannot take value 0 or negative for any value of q so there are no complications at all. You can easily divide.
_________________

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

Expert Post
Math Expert
User avatar
Joined: 02 Sep 2009
Posts: 18856
Followers: 3275

Kudos [?]: 22916 [0], given: 2651

Re: In this exponent problem P > Q ???? [#permalink] New post 23 Feb 2012, 01:54
Expert's post
VeritasPrepKarishma wrote:
devinawilliam83 wrote:
if x^2 >x^3 : we write x^2-x^3 >0 ie we subtract and dont divide
in this case we are dividinge is that right?



If the variable is given to be non zero, you can divide in an equation and if you also know the sign of the variable, you can divide in an inequality too. (and adjust the inequality according to the sign of the variable)

e.g. x^3 = x. What values can x take?
x can be 0 so we don't divide.
x^3 - x = 0
x(x^2 - 1) = 0
x = 0, 1, -1

Here, if you forget about 0 and divide by x, you get x^2 = 1 so x = +1 or -1. You lose out one solution: x = 0

But in case you have
x^3 = x. What values can x take if x is non zero?
Now you can divide and you will get x = 1 or -1

Similarly, say you have an inequality: x^2 > x^3
If you divide by x^2 thinking it's non negative, you get the range x < 1 which is incorrect since you have to specify that 'x cannot be 0'. It holds for every value less than 1 other than 0.
x^2 > x^3 does not hold for x = 0.

So instead, you can choose to solve in two ways:

1. Take cases and use division: x^2 > x^3
If x \neq 0, we can divide. We get x < 1.
If x = 0, the inequality does not hold. Hence, x \neq 0
Answer: x < 1, x \neq 0

2. Subtract: x^3 - x^2 < 0
x^2 (x - 1) < 0
One of the terms must be negative and the other positive. Since x^2 cannot be negative, x - 1 must be negative (so x < 1) and x^2 must be positive so x \neq 0
Answer: x < 1, x \neq 0

Either way, you will get the same answer (obviously!)

In this question, as Bunuel said, 9^q must be positive. It cannot take value 0 or negative for any value of q so there are no complications at all. You can easily divide.


One little thing Karishma.

If its given that x^2<x^3 then it's clear that x\neq{0} thus x^2>0 and you can safely reduce by it and write x>1.
_________________

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
Veritas Prep GMAT Instructor
User avatar
Joined: 16 Oct 2010
Posts: 4598
Location: Pune, India
Followers: 1043

Kudos [?]: 4562 [0], given: 162

Re: In this exponent problem P > Q ???? [#permalink] New post 23 Feb 2012, 03:38
Expert's post
Bunuel wrote:
One little thing Karishma.

If its given that x^2>x^3 then it's clear that x\neq{0} thus x^2>0 and you can safely reduce by it and write x>1.


Sure Bunuel, I understand that one can see that when x^2>x^3, x cannot be 0. But since here, you get x < 1, a range that includes x = 0, we need to specify that x can take any value less than 1 except 0. The point I am making here is that if you only reduce it and write 'x<1', it's not correct. I think you got a typo 'x > 1' above.
_________________

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

Expert Post
Math Expert
User avatar
Joined: 02 Sep 2009
Posts: 18856
Followers: 3275

Kudos [?]: 22916 [0], given: 2651

Re: In this exponent problem P > Q ???? [#permalink] New post 23 Feb 2012, 03:49
Expert's post
VeritasPrepKarishma wrote:
Bunuel wrote:
One little thing Karishma.

If its given that x^2>x^3 then it's clear that x\neq{0} thus x^2>0 and you can safely reduce by it and write x>1.


Sure Bunuel, I understand that one can see that when x^2>x^3, x cannot be 0. But since here, you get x < 1, a range that includes x = 0, we need to specify that x can take any value less than 1 except 0. The point I am making here is that if you only reduce it and write 'x<1', it's not correct. I think you got a typo 'x > 1' above.


Actually I do have a typo but not the one you pointed above: in 4 posts above I considered x^2<x^3 (not x^2>x^3) which when reduced gives x>1.

So, it should read: if its given that x^2<x^3 then it's clear that x\neq{0} thus x^2>0 and you can safely reduce by it and write x>1.
_________________

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

Current Student
avatar
Joined: 10 Jan 2012
Posts: 43
Location: United States
Concentration: Finance, Entrepreneurship
Schools: Jones '15 (M)
Followers: 0

Kudos [?]: 10 [0], given: 11

Re: In which one of the following choices must p be greater than [#permalink] New post 24 Feb 2012, 11:20
Awesome post VeritasPrepKarishma and Bunuel! Thanks!
SVP
SVP
User avatar
Joined: 09 Sep 2013
Posts: 1835
Followers: 167

Kudos [?]: 33 [0], given: 0

Premium Member
Re: In which one of the following choices must p be greater than [#permalink] New post 29 Jan 2014, 13:11
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 Books | GMAT Club Tests | Best Prices on GMAT Courses | GMAT Mobile App | Math Resources | Verbal Resources

Re: In which one of the following choices must p be greater than   [#permalink] 29 Jan 2014, 13:11
    Similar topics Author Replies Last post
Similar
Topics:
which of the following must be greater nikhilsrl 4 23 Mar 2011, 03:55
28. (SC) Which of the following must be greater than x? I. banksy 5 17 Mar 2011, 13:44
P is an integer greater than one, but P is not a square of bkk145 6 21 Sep 2007, 05:50
If b is greater than 1, which of the following must be above720 8 20 Aug 2007, 21:03
N is an integer greater than 6, which of the following must Himalayan 5 11 Jul 2007, 22:15
Display posts from previous: Sort by

In which one of the following choices must p be greater than

  Question banks Downloads My Bookmarks Reviews Important topics  


cron

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®.