GMAT Question of the Day - Daily to your Mailbox; hard ones only

It is currently 22 Feb 2019, 02:18

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 in February
PrevNext
SuMoTuWeThFrSa
272829303112
3456789
10111213141516
17181920212223
242526272812
Open Detailed Calendar
  • Free GMAT RC Webinar

     February 23, 2019

     February 23, 2019

     07:00 AM PST

     09:00 AM PST

    Learn reading strategies that can help even non-voracious reader to master GMAT RC. Saturday, February 23rd at 7 AM PT
  • FREE Quant Workshop by e-GMAT!

     February 24, 2019

     February 24, 2019

     07:00 AM PST

     09:00 AM PST

    Get personalized insights on how to achieve your Target Quant Score.

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

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

Hide Tags

 
Manager
Manager
avatar
Joined: 01 Dec 2007
Posts: 53
If x, y, p, and q are positive, is x >= y?  [#permalink]

Show Tags

New post Updated on: 08 Nov 2018, 03:46
2
00:00
A
B
C
D
E

Difficulty:

  5% (low)

Question Stats:

83% (01:03) correct 17% (01:37) wrong based on 214 sessions

HideShow timer Statistics

If x, y, p, and q are positive, is \(x \geq y\) ?


(1) \(\frac{px}{qy}=\frac{p}{q}\)

(2) \(xy=p\)

Originally posted by blover on 21 Dec 2009, 11:58.
Last edited by Bunuel on 08 Nov 2018, 03:46, edited 2 times in total.
Renamed the topic and edited the question.
Math Expert
User avatar
V
Joined: 02 Sep 2009
Posts: 53066
If x, y, p, and q are positive, is x >= y?  [#permalink]

Show Tags

New post 07 Apr 2012, 10:47
1
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.

Hope it's clear.
_________________

New to the Math Forum?
Please read this: Ultimate GMAT Quantitative Megathread | 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?
Extra-hard Quant Tests with Brilliant Analytics

Manager
Manager
avatar
Joined: 07 Apr 2012
Posts: 95
Location: United States
Concentration: Entrepreneurship, Operations
Schools: ISB '15
GMAT 1: 590 Q48 V23
GPA: 3.9
WE: Operations (Manufacturing)
Re: If x, y, p, and q are positive, is x >= y?  [#permalink]

Show Tags

New post 07 Sep 2013, 09:02
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
Math Expert
User avatar
V
Joined: 02 Sep 2009
Posts: 53066
Re: If x, y, p, and q are positive, is x >= y?  [#permalink]

Show Tags

New post 07 Sep 2013, 09:08
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: Ultimate GMAT Quantitative Megathread | 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?
Extra-hard Quant Tests with Brilliant Analytics

Manager
Manager
avatar
B
Joined: 22 Feb 2016
Posts: 89
Location: India
Concentration: Economics, Healthcare
GMAT 1: 690 Q42 V47
GMAT 2: 710 Q47 V39
GPA: 3.57
Re: If x, y, p, and q are positive, is x >= y?  [#permalink]

Show Tags

New post 01 Oct 2016, 19:17
However in the first statement it is not greater than y as in the condition x> y is not fulfilled. How can we still go ahead and mark A as the correct answer.

Kinda confusing.

Can we use this logic for any similar question we encounter in the exam?
Math Expert
User avatar
V
Joined: 02 Sep 2009
Posts: 53066
Re: If x, y, p, and q are positive, is x >= y?  [#permalink]

Show Tags

New post 01 Oct 2016, 23:47
AmritaSarkar89 wrote:
However in the first statement it is not greater than y as in the condition x> y is not fulfilled. How can we still go ahead and mark A as the correct answer.

Kinda confusing.

Can we use this logic for any similar question we encounter in the exam?


The question asks whether \(x\geq{y}\). (1) says that x = y, so the answer to the question is YES.
_________________

New to the Math Forum?
Please read this: Ultimate GMAT Quantitative Megathread | 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?
Extra-hard Quant Tests with Brilliant Analytics

EMPOWERgmat Instructor
User avatar
V
Status: GMAT Assassin/Co-Founder
Affiliations: EMPOWERgmat
Joined: 19 Dec 2014
Posts: 13577
Location: United States (CA)
GMAT 1: 800 Q51 V49
GRE 1: Q170 V170
Re: If x, y, p, and q are positive, is x >= y?  [#permalink]

Show Tags

New post 27 Nov 2017, 11:42
1
Hi All,

We're told that X, Y, P and Q are POSITIVE. We're asked if X is >= to Y. This is a YES/NO question. We can solve it with a mix of arithmetic and TESTing VALUES.

1) (P)(X)/(Q)(Y) = P/Q

If we cross-multiply this fraction, we get...
(P)(X)(Q) = (P)(Q)(Y)

Since we know that all of the variables are POSITIVE, we can 'cancel out' the P and Q, which leaves us...
X = Y
Thus, the answer to the question is ALWAYS YES.
Fact 1 is SUFFICIENT

2) (X)(Y) = P

With this Fact, we have no idea how X and Y relate to one another. For example:
IF... X=1, Y=2, P=2 then the answer to the question is NO.
IF... X=1, Y=1, P=1 then the answer to the question is YES.
Fact 2 is INSUFFICIENT

Final Answer:

GMAT assassins aren't born, they're made,
Rich
_________________

760+: Learn What GMAT Assassins Do to Score at the Highest Levels
Contact Rich at: Rich.C@empowergmat.com

Rich Cohen

Co-Founder & GMAT Assassin

Special Offer: Save $75 + GMAT Club Tests Free
  Official GMAT Exam Packs + 70 Pt. Improvement Guarantee
www.empowergmat.com/

*****Select EMPOWERgmat Courses now include ALL 6 Official GMAC CATs!*****

GMAT Club Bot
Re: If x, y, p, and q are positive, is x >= y?   [#permalink] 27 Nov 2017, 11:42
Display posts from previous: Sort by

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

  new topic post reply Question banks Downloads My Bookmarks Reviews Important topics  


Copyright

GMAT Club MBA Forum Home| About| Terms and Conditions and Privacy Policy| 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®.