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

 It is currently 22 Feb 2019, 02:18

### 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

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

## Events & Promotions

###### 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?

Author Message
TAGS:

### Hide Tags

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

### Show Tags

Updated on: 08 Nov 2018, 03:46
2
00:00

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
Joined: 02 Sep 2009
Posts: 53066
If x, y, p, and q are positive, is x >= y?  [#permalink]

### Show Tags

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).

Hope it's clear.
_________________
Manager
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

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).

from A we get x=y only , but what abut x > y ?
Math Expert
Joined: 02 Sep 2009
Posts: 53066
Re: If x, y, p, and q are positive, is x >= y?  [#permalink]

### Show Tags

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).

from A we get x=y only , but what abut x > y ?

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.
_________________
Manager
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

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
Joined: 02 Sep 2009
Posts: 53066
Re: If x, y, p, and q are positive, is x >= y?  [#permalink]

### Show Tags

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.
_________________
EMPOWERgmat Instructor
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

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

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!*****

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