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

 It is currently 20 Aug 2019, 17:54 ### 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. ### Request Expert Reply # If p + q = 3 and p – q = 17, then pq =

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

### Hide Tags

Math Expert V
Joined: 02 Sep 2009
Posts: 57155
If p + q = 3 and p – q = 17, then pq =  [#permalink]

### Show Tags 00:00

Difficulty:   15% (low)

Question Stats: 81% (00:36) correct 19% (01:06) wrong based on 47 sessions

### HideShow timer Statistics

If p + q = 3 and p – q = 17, then pq =

A. -70
B. -60
C. 0
D. 10
E. 70

_________________
VP  D
Joined: 31 Oct 2013
Posts: 1429
Concentration: Accounting, Finance
GPA: 3.68
WE: Analyst (Accounting)
Re: If p + q = 3 and p – q = 17, then pq =  [#permalink]

### Show Tags

Bunuel wrote:
If p + q = 3 and p – q = 17, then pq =

A. -70
B. -60
C. 0
D. 10
E. 70

p + q = 3

p – q = 17

.........................
2p = 20

p = 10.

substitute this value:

p + q = 3

10 + q = 3

q = -7.

Required Value ;

pq

(10) ( -7) = -70.

A is the best answer.
Director  P
Joined: 03 Jun 2019
Posts: 954
Location: India
Re: If p + q = 3 and p – q = 17, then pq =  [#permalink]

### Show Tags

Bunuel wrote:
If p + q = 3 and p – q = 17, then pq =

A. -70
B. -60
C. 0
D. 10
E. 70

Given: p + q = 3 and p – q = 17,
Asked: pq =?

Adding 2p=20 => p=10
q=-7

pq = 10*(-7) = -70

IMO A
_________________
"Success is not final; failure is not fatal: It is the courage to continue that counts."

Please provide kudos if you like my post. Kudos encourage active discussions.

My GMAT Resources: -

Efficient Learning

Tele: +91-11-40396815
Mobile : +91-9910661622
E-mail : kinshook.chaturvedi@gmail.com
Intern  B
Joined: 18 Jun 2017
Posts: 3
Re: If p + q = 3 and p – q = 17, then pq =  [#permalink]

### Show Tags

$$(a+b)^2$$ - $$(a-b)^2$$ = 4xy

In this case,

$$(p+q)^2$$ - $$(p-q)^2$$ = 4pq

=> $$3^2$$ - $$17^2$$ = 4pq
=> 9 - 289 = 4pq
=> pq = -280/4 = -70
Target Test Prep Representative D
Status: Founder & CEO
Affiliations: Target Test Prep
Joined: 14 Oct 2015
Posts: 7399
Location: United States (CA)
Re: If p + q = 3 and p – q = 17, then pq =  [#permalink]

### Show Tags

Bunuel wrote:
If p + q = 3 and p – q = 17, then pq =

A. -70
B. -60
C. 0
D. 10
E. 70

Adding the equations together, we have:

2p = 20

p = 10

So, q is:

10 + q = 3

q = -7

Thus, pq is -70.

Answer: A
_________________

# Scott Woodbury-Stewart

Founder and CEO

Scott@TargetTestPrep.com

See why Target Test Prep is the top rated GMAT quant course on GMAT Club. Read Our Reviews

If you find one of my posts helpful, please take a moment to click on the "Kudos" button. Re: If p + q = 3 and p – q = 17, then pq =   [#permalink] 04 Aug 2019, 11:41
Display posts from previous: Sort by

# If p + q = 3 and p – q = 17, then pq =

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

 Powered by phpBB © phpBB Group | Emoji artwork provided by EmojiOne

#### MBA Resources  