It is currently 20 Feb 2018, 01:53

### 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 June
Open Detailed Calendar

# If p does not equal q, and pq does not equal 0, then when p is replace

Author Message
TAGS:

### Hide Tags

SVP
Status: The Best Or Nothing
Joined: 27 Dec 2012
Posts: 1839
Location: India
Concentration: General Management, Technology
WE: Information Technology (Computer Software)
If p does not equal q, and pq does not equal 0, then when p is replace [#permalink]

### Show Tags

30 Oct 2014, 21:10
2
KUDOS
2
This post was
BOOKMARKED
00:00

Difficulty:

45% (medium)

Question Stats:

63% (01:26) correct 37% (01:20) wrong based on 130 sessions

### HideShow timer Statistics

$$\frac{p+q}{p-q}$$

If $$p\neq{q}$$ and $$pq\neq{0}$$, then when p is replaced by $$\frac{-1}{p}$$ and q is replaced by $$\frac{-1}{q}$$ everywhere in the expression above, the resulting expression is equivalent to:

A) $$\frac{p+q}{q-p}$$

B) $$\frac{p-q}{p+q}$$

C) $$\frac{p+q}{p-q}$$

D) $$\frac{p^2-q^2}{pq}$$

E) $$\frac{q-p}{p+q}$$
[Reveal] Spoiler: OA

_________________

Kindly press "+1 Kudos" to appreciate

Last edited by PareshGmat on 17 Nov 2014, 18:30, edited 1 time in total.
Manager
Joined: 10 Sep 2014
Posts: 98
Re: If p does not equal q, and pq does not equal 0, then when p is replace [#permalink]

### Show Tags

17 Nov 2014, 10:41
We can plug in for this problem to make it simple. Let's say that P=5 and Q=10.

p needs to be replaced by -1/5 and q needs to be replaced with -1/10

(-1/5) + (-1/10) in the numerator, (-2/10) + (-1/10) = -3/10
(-1/5) - (-1/10) in the denominator, (-2/10) - (-1/10) = -1/10

(-3/10) / (-1/10) = 3 so we need an answer that equals 3 when we plug in p=5 and q=10.

A. plug in to get 15/5 = 3 bingo!
B. plug in to get -5/15 = -1/3
C. plug in to get 15/-5 = -1/3
D. plug in to get -75/50 = -3/2
E. plug in to get 1/3

Math Expert
Joined: 02 Sep 2009
Posts: 43828
Re: If p does not equal q, and pq does not equal 0, then when p is replace [#permalink]

### Show Tags

17 Nov 2014, 10:56
PareshGmat wrote:
$$\frac{p+q}{p-q}$$

If $$p\neq{q}$$ and $$pq\neq{0}$$, then when p is replaced by $$\frac{-1}{p}$$ and q is replaced by $$\frac{-1}{q}$$ everywhere in the expression above, the resulting expression is equivalent to:

A) $$\frac{p+q}{q-p}$$

B) $$\frac{p-q}{p+q}$$

C) $$\frac{p+q}{p-q}$$

D) $$\frac{p^2-q^2}{pq}$$

E) $$\frac{q-p}{p+q}$$

Similar question to practice from MGMAT: if-x-does-not-equal-y-and-xy-does-not-equal-0-then-when-x-104108.html
_________________
SVP
Status: The Best Or Nothing
Joined: 27 Dec 2012
Posts: 1839
Location: India
Concentration: General Management, Technology
WE: Information Technology (Computer Software)
Re: If p does not equal q, and pq does not equal 0, then when p is replace [#permalink]

### Show Tags

17 Nov 2014, 19:01
2
This post was
BOOKMARKED
$$\frac{p+q}{p-q}$$

Replace p with $$\frac{-1}{p}$$ & q with $$\frac{-1}{q}$$

$$\frac{\frac{-1}{p} - \frac{1}{q}}{\frac{1}{q} - \frac{1}{p}}$$

$$\frac{\frac{1}{p} + \frac{1}{q}}{\frac{1}{p} - \frac{1}{q}}$$

$$\frac{\frac{p+q}{pq}}{\frac{q-p}{pq}}$$

$$\frac{p+q}{q-p}$$

_________________

Kindly press "+1 Kudos" to appreciate

Manager
Joined: 09 Dec 2015
Posts: 123
Location: India
Concentration: General Management, Operations
Schools: IIMC (I)
GMAT 1: 700 Q49 V36
GPA: 3.5
WE: Engineering (Consumer Products)
Re: If p does not equal q, and pq does not equal 0, then when p is replace [#permalink]

### Show Tags

28 May 2017, 23:11
Easy and direct question. Just substitute and calculate. I hope I encounter such questions in final test
Intern
Joined: 04 Aug 2017
Posts: 10
Re: If p does not equal q, and pq does not equal 0, then when p is replace [#permalink]

### Show Tags

27 Sep 2017, 03:02
PareshGmat wrote:
$$\frac{p+q}{p-q}$$

Replace p with $$\frac{-1}{p}$$ & q with $$\frac{-1}{q}$$

$$\frac{\frac{-1}{p} - \frac{1}{q}}{\frac{1}{q} - \frac{1}{p}}$$

$$\frac{\frac{1}{p} + \frac{1}{q}}{\frac{1}{p} - \frac{1}{q}}$$

$$\frac{\frac{p+q}{pq}}{\frac{q-p}{pq}}$$

$$\frac{p+q}{q-p}$$

Would you be able to explain how you went from: $$\frac{\frac{-1}{p} - \frac{1}{q}}{\frac{1}{q} - \frac{1}{p}}$$
to:$$\frac{\frac{1}{p} + \frac{1}{q}}{\frac{1}{p} - \frac{1}{q}}$$

I was just having difficulty following. Thank you for your help!
Veritas Prep GMAT Instructor
Joined: 16 Oct 2010
Posts: 7941
Location: Pune, India
Re: If p does not equal q, and pq does not equal 0, then when p is replace [#permalink]

### Show Tags

27 Sep 2017, 03:21
2
KUDOS
Expert's post
imranmah wrote:
PareshGmat wrote:
$$\frac{p+q}{p-q}$$

Replace p with $$\frac{-1}{p}$$ & q with $$\frac{-1}{q}$$

$$\frac{\frac{-1}{p} - \frac{1}{q}}{\frac{1}{q} - \frac{1}{p}}$$

$$\frac{\frac{1}{p} + \frac{1}{q}}{\frac{1}{p} - \frac{1}{q}}$$

$$\frac{\frac{p+q}{pq}}{\frac{q-p}{pq}}$$

$$\frac{p+q}{q-p}$$

Would you be able to explain how you went from: $$\frac{\frac{-1}{p} - \frac{1}{q}}{\frac{1}{q} - \frac{1}{p}}$$
to:$$\frac{\frac{1}{p} + \frac{1}{q}}{\frac{1}{p} - \frac{1}{q}}$$

I was just having difficulty following. Thank you for your help!

Take -1 common from both numerator and denominator.

$$\frac{\frac{-1}{p} - \frac{1}{q}}{\frac{1}{q} - \frac{1}{p}}$$

$$\frac{(-1)*(\frac{1}{p} + \frac{1}{q})}{(-1)*(-\frac{1}{q} + \frac{1}{p})}$$

Cancelling off the (-1) from the numerator with that from the denominator, you get

$$\frac{\frac{1}{p} + \frac{1}{q}}{-\frac{1}{q} + \frac{1}{p}}$$

$$\frac{\frac{1}{p} + \frac{1}{q}}{\frac{1}{p}-\frac{1}{q}}$$
_________________

Karishma
Veritas Prep | GMAT Instructor
My Blog

Get started with Veritas Prep GMAT On Demand for \$199

Veritas Prep Reviews

Re: If p does not equal q, and pq does not equal 0, then when p is replace   [#permalink] 27 Sep 2017, 03:21
Display posts from previous: Sort by