Author 
Message 
TAGS:

Hide Tags

Intern
Joined: 16 Jun 2010
Posts: 20

If x, y, p, and q are positive, is x>=y? [#permalink]
Show Tags
19 Jun 2010, 03:12
Question Stats:
83% (01:43) correct
17% (01:08) wrong based on 182 sessions
HideShow timer Statistics
If x, y, p, and q are positive, is x>=y? (1) \(\frac{px}{qy}=\frac{p}{q}\) (2) \(xy=p\)
Official Answer and Stats are available only to registered users. Register/ Login.
Last edited by Bunuel on 16 Apr 2013, 03:36, edited 1 time in total.
Edited the question.



Intern
Joined: 16 Jun 2010
Posts: 20

Re: need help [#permalink]
Show Tags
19 Jun 2010, 03:13
sorry.. (1)px/qy=p/q



Math Expert
Joined: 02 Sep 2009
Posts: 39597

Re: need help [#permalink]
Show Tags
19 Jun 2010, 03:33
chintzzz wrote: If x,y,p, and q are positive, is x>=y?
(1) \(\frac{px}{qy}=\frac{p}{q}\) (2) \(xy=p\) First of all to format formulas mark and push [ m] button. If x, y, p, and q are positive, is x>=y?Question: is \(x\) more than or equal to \(y\) (is \(x\geq{y}\))? (1) \(\frac{px}{qy}=\frac{p}{q}\) > reduce by \(\frac{p}{q}\) > \(\frac{x}{y}=1\) > \(x=y\), so we can answer yes to the question: \(x\) is equal to \(y\). Sufficient. (2) \(xy=p\) > Clearly not sufficient (if \(x\), \(y\) and \(p\) equal to 1, 2, and 2 respectively then the answer is NO but if they equal to 2, 1 and 2 then the answer is YES). Answer: A.
_________________
New to the Math Forum? Please read this: All You Need for Quant  PLEASE READ AND FOLLOW: 12 Rules for Posting!!! Resources: GMAT Math Book  Triangles  Polygons  Coordinate Geometry  Factorials  Circles  Number Theory  Remainders; 8. Overlapping Sets  PDF of Math Book; 10. Remainders  GMAT Prep Software Analysis  SEVEN SAMURAI OF 2012 (BEST DISCUSSIONS)  Tricky questions from previous years.
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? Extrahard Quant Tests with Brilliant Analytics



Intern
Joined: 11 Feb 2013
Posts: 18

Re: need help [#permalink]
Show Tags
13 Apr 2013, 12:57
Bunuel wrote: chintzzz wrote: If x,y,p, and q are positive, is x>=y?
(1) \(\frac{px}{qy}=\frac{p}{q}\) (2) \(xy=p\) First of all to format formulas mark and push [ m] button. If x, y, p, and q are positive, is x>=y?Question: is \(x\) more than or equal to \(y\) (is \(x\geq{y}\))? (1) \(\frac{px}{qy}=\frac{p}{q}\) > reduce by \(\frac{p}{q}\) > \(\frac{x}{y}=1\) > \(x=y\), so we can answer yes to the question: \(x\) is equal to \(y\). Sufficient. (2) \(xy=p\) > Clearly not sufficient (if \(x\), \(y\) and \(p\) equal to 1, 2, and 2 respectively then the answer is NO but if they equal to 2, 1 and 2 then the answer is YES). Answer: A. Hi, the statement 1 is just telling us that x = y ...but its not giving ny info that if x>y...so its not sufficient so how can v mark the answer as A ...



VP
Status: Far, far away!
Joined: 02 Sep 2012
Posts: 1122
Location: Italy
Concentration: Finance, Entrepreneurship
GPA: 3.8

Re: need help [#permalink]
Show Tags
13 Apr 2013, 13:08
Perhaps wrote: Hi,
the statement 1 is just telling us that x = y ...but its not giving ny info that if x>y...so its not sufficient so how can v mark the answer as A ... The question asks is \(x\geq{y}\)? If we know that x=y then we can answer YES to the question, its very simple. Let me know if it s clear
_________________
It is beyond a doubt that all our knowledge that begins with experience.
Kant , Critique of Pure Reason Tips and tricks: Inequalities , Mixture  Review: MGMAT workshop Strategy: SmartGMAT v1.0  Questions: Verbal challenge SC III CR New SC set out !! , My QuantRules for Posting in the Verbal Forum  Rules for Posting in the Quant Forum[/size][/color][/b]



Manager
Status: Looking to improve
Joined: 15 Jan 2013
Posts: 175
GMAT 1: 530 Q43 V20 GMAT 2: 560 Q42 V25 GMAT 3: 650 Q48 V31

Re: If x, y, p, and q are positive, is x>=y? [#permalink]
Show Tags
13 Apr 2013, 13:35
when x >= y means x > y OR x = y and NOT x > y AND x = y (A impossible scenario) //kudos, if the above explanation is good
_________________
KUDOS is a way to say Thank You



Manager
Joined: 07 Apr 2012
Posts: 126
Location: United States
Concentration: Entrepreneurship, Operations
GPA: 3.9
WE: Operations (Manufacturing)

Re: need help [#permalink]
Show Tags
07 Sep 2013, 10:02
Bunuel wrote: chintzzz wrote: If x,y,p, and q are positive, is x>=y?
(1) \(\frac{px}{qy}=\frac{p}{q}\) (2) \(xy=p\) First of all to format formulas mark and push [ m] button. If x, y, p, and q are positive, is x>=y?Question: is \(x\) more than or equal to \(y\) (is \(x\geq{y}\))? (1) \(\frac{px}{qy}=\frac{p}{q}\) > reduce by \(\frac{p}{q}\) > \(\frac{x}{y}=1\) > \(x=y\), so we can answer yes to the question: \(x\) is equal to \(y\). Sufficient. (2) \(xy=p\) > Clearly not sufficient (if \(x\), \(y\) and \(p\) equal to 1, 2, and 2 respectively then the answer is NO but if they equal to 2, 1 and 2 then the answer is YES). Answer: A. from A we get x=y only , but what abut x > y ? Answer should be E



Verbal Forum Moderator
Joined: 10 Oct 2012
Posts: 629

Re: need help [#permalink]
Show Tags
07 Sep 2013, 10:07
ygdrasil24 wrote: from A we get x=y only , but what abut x > y ? Answer should be E
No, the OA is correct . \(x\geq{y}\) means x=y OR x>y. Any value of x satisfying EITHER of these 2 conditions works.
_________________
All that is equal and notDeep Dive Inequality
Hit and Trial for Integral Solutions



Math Expert
Joined: 02 Sep 2009
Posts: 39597

Re: need help [#permalink]
Show Tags
07 Sep 2013, 10:08
ygdrasil24 wrote: Bunuel wrote: chintzzz wrote: If x,y,p, and q are positive, is x>=y?
(1) \(\frac{px}{qy}=\frac{p}{q}\) (2) \(xy=p\) First of all to format formulas mark and push [ m] button. If x, y, p, and q are positive, is x>=y?Question: is \(x\) more than or equal to \(y\) (is \(x\geq{y}\))? (1) \(\frac{px}{qy}=\frac{p}{q}\) > reduce by \(\frac{p}{q}\) > \(\frac{x}{y}=1\) > \(x=y\), so we can answer yes to the question: \(x\) is equal to \(y\). Sufficient. (2) \(xy=p\) > Clearly not sufficient (if \(x\), \(y\) and \(p\) equal to 1, 2, and 2 respectively then the answer is NO but if they equal to 2, 1 and 2 then the answer is YES). Answer: A. from A we get x=y only , but what abut x > y ? Answer should be E The answer is A, not E. The question asks: is x greater than or equal to y. (1) says that x IS equal to y, so we have an YES answer to the question.
_________________
New to the Math Forum? Please read this: All You Need for Quant  PLEASE READ AND FOLLOW: 12 Rules for Posting!!! Resources: GMAT Math Book  Triangles  Polygons  Coordinate Geometry  Factorials  Circles  Number Theory  Remainders; 8. Overlapping Sets  PDF of Math Book; 10. Remainders  GMAT Prep Software Analysis  SEVEN SAMURAI OF 2012 (BEST DISCUSSIONS)  Tricky questions from previous years.
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? Extrahard Quant Tests with Brilliant Analytics



Manager
Joined: 07 Apr 2012
Posts: 126
Location: United States
Concentration: Entrepreneurship, Operations
GPA: 3.9
WE: Operations (Manufacturing)

Re: need help [#permalink]
Show Tags
07 Sep 2013, 11:05
First of all to format formulas mark and push [ m] button.
If x, y, p, and q are positive, is x>=y?
The question asks: is x greater than or equal to y. (1) says that x IS equal to y, so we have an YES answer to the question.[/quote][/quote] OK , so does it mean its an OR condition and not AND ? Is that a general rule when >eq or <eq occurs?



Math Expert
Joined: 02 Sep 2009
Posts: 39597

Re: need help [#permalink]
Show Tags
07 Sep 2013, 11:08



Manager
Joined: 07 Apr 2012
Posts: 126
Location: United States
Concentration: Entrepreneurship, Operations
GPA: 3.9
WE: Operations (Manufacturing)

Re: need help [#permalink]
Show Tags
07 Sep 2013, 12:14
I used to think in DS , we need to suffice to all conditions, so asked for AND conditiom



Math Expert
Joined: 02 Sep 2009
Posts: 39597

Re: need help [#permalink]
Show Tags
07 Sep 2013, 12:16



Manager
Joined: 07 Apr 2012
Posts: 126
Location: United States
Concentration: Entrepreneurship, Operations
GPA: 3.9
WE: Operations (Manufacturing)

Re: need help [#permalink]
Show Tags
07 Sep 2013, 22:20
Bunuel wrote: ygdrasil24 wrote: I used to think in DS , we need to suffice to all conditions, so asked for AND conditiom Actually it has nothing to do with DS. \(\geq\) sign in mathematics translates to greater than or equal to. Also, how can x be greater than AND equal to y? You have a point but if x \(\geq\) y, and we have a solution x = y, it obviously does not mean x has to be gretaer than y, or if x is \(\geq\) y , it does not mean x = y, I was of the view that x should fit in the equality i.e \(\geq\)



Math Expert
Joined: 02 Sep 2009
Posts: 39597

Re: need help [#permalink]
Show Tags
08 Sep 2013, 06:02
ygdrasil24 wrote: Bunuel wrote: ygdrasil24 wrote: I used to think in DS , we need to suffice to all conditions, so asked for AND conditiom Actually it has nothing to do with DS. \(\geq\) sign in mathematics translates to greater than or equal to. Also, how can x be greater than AND equal to y? You have a point but if x \(\geq\) y, and we have a solution x = y, it obviously does not mean x has to be gretaer than y, or if x is \(\geq\) y , it does not mean x = y, I was of the view that x should fit in the equality i.e \(\geq\) You are missing a point. If x=y, it's OK to write: \(x\geq{y}\) > \(2\geq{2}\).
_________________
New to the Math Forum? Please read this: All You Need for Quant  PLEASE READ AND FOLLOW: 12 Rules for Posting!!! Resources: GMAT Math Book  Triangles  Polygons  Coordinate Geometry  Factorials  Circles  Number Theory  Remainders; 8. Overlapping Sets  PDF of Math Book; 10. Remainders  GMAT Prep Software Analysis  SEVEN SAMURAI OF 2012 (BEST DISCUSSIONS)  Tricky questions from previous years.
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? Extrahard Quant Tests with Brilliant Analytics



Senior Manager
Status: DONE!
Joined: 05 Sep 2016
Posts: 409

Re: If x, y, p, and q are positive, is x>=y? [#permalink]
Show Tags
17 Sep 2016, 06:33
A is correct. Here's why:
(1) (px)/(qy) = (p/q) [q/p][(px)/(qy)] = [(p/q)][q/p] > x=y (relationship has been established)
SUFFICIENT
(2) xy = p
NOT SUFFICIENT  we don't know anything about the relationship between x and y




Re: If x, y, p, and q are positive, is x>=y?
[#permalink]
17 Sep 2016, 06:33








Similar topics 
Author 
Replies 
Last post 
Similar Topics:


8


Is x^2>y^2?

MathRevolution 
3 
21 May 2017, 23:05 

7


Is x^2>y^2?

MathRevolution 
12 
23 Feb 2017, 04:47 

8


If p, q, x, and y are positive integers, is q^y/p^x an integer?

Bunuel 
5 
15 Sep 2016, 12:01 

8


If x and y are integers, is (x−1)>y?

guerrero25 
10 
09 Oct 2016, 17:50 

3


If x, y, p, and q are positive, is x>=y ?

blover 
7 
02 Oct 2016, 00:47 



