Find all School-related info fast with the new School-Specific MBA Forum

It is currently 16 Apr 2014, 23:34

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.

Events & Promotions

Events & Promotions in June
Open Detailed Calendar

If 3|3 – x| = 7, what is the product of all the possible va

  Question banks Downloads My Bookmarks Reviews Important topics  
Author Message
TAGS:
Manager
Manager
Joined: 08 Dec 2012
Posts: 64
Location: United Kingdom
GMAT 1: 710 Q0 V0
WE: Engineering (Consulting)
Followers: 1

Kudos [?]: 32 [0], given: 31

If 3|3 – x| = 7, what is the product of all the possible va [#permalink] New post 28 Mar 2013, 20:09
00:00
A
B
C
D
E

Difficulty:

  25% (low)

Question Stats:

76% (02:04) correct 23% (01:17) wrong based on 172 sessions
If 3|3 – x| = 7, what is the product of all the possible values of x?

A. 1/9
B. 1/3
C. 2/3
D. 16/9
E. 32/9
[Reveal] Spoiler: OA
2 KUDOS received
Intern
Intern
User avatar
Status: Attending Duke in May!
Joined: 07 Jan 2013
Posts: 32
Location: United States (NC)
Concentration: Leadership, Strategy
GMAT 1: 640 Q42 V35
Followers: 0

Kudos [?]: 18 [2] , given: 18

Re: If 3|3 – x| = 7, what is the product of all the possible va [#permalink] New post 28 Mar 2013, 20:40
2
This post received
KUDOS
nave81 wrote:
If 3|3 – x| = 7, what is the product of all the possible values of x?

A. 1/9
B. 1/3
C. 2/3
D. 16/9
E. 32/9


3|3-x| = 7 can be rewritten as: |3-x| = \frac{7}{3}

So

|\frac{9}{3} - x| = \frac{7}{3}

x has two possible solutions \frac{2}{3} and \frac{16}{3} that satisfy the equation

\frac{2}{3}*\frac{16}{3} = \frac{32}{9}

Answer is E
1 KUDOS received
VP
VP
User avatar
Status: Far, far away!
Joined: 02 Sep 2012
Posts: 1125
Location: Italy
Concentration: Finance, Entrepreneurship
GPA: 3.8
Followers: 92

Kudos [?]: 998 [1] , given: 219

GMAT ToolKit User GMAT Tests User
Re: If 3|3 – x| = 7, what is the product of all the possible va [#permalink] New post 28 Mar 2013, 23:29
1
This post received
KUDOS
3|3 - x| = 7
case 3-x>0
3(3-x)=7
9-3x=7, x=\frac{2}{3}
case 3-x<0
3(-3+x)=7
-9+3x=7, x= 16/3

\frac{2}{3}*\frac{16}{3}=\frac{32}{9}
E
_________________

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 I-II- CR New SC set out !! , My Quant

Rules for Posting in the Verbal Forum - Rules for Posting in the Quant Forum[/size][/color][/b]

Intern
Intern
Joined: 15 Jan 2013
Posts: 39
Concentration: Finance, Operations
GPA: 4
Followers: 0

Kudos [?]: 15 [0], given: 6

Re: If 3|3 – x| = 7, what is the product of all the possible va [#permalink] New post 01 Apr 2013, 07:00
nave81 wrote:
If 3|3 – x| = 7, what is the product of all the possible values of x?

A. 1/9
B. 1/3
C. 2/3
D. 16/9
E. 32/9


3|3 – x| = 7 So, |3 – x| = 7/3 or (3-x) = +7/3 or -7/3
Solving we get x = 2/3 or 16/3
product = 2/3 * 16/3 = 32/9
Senior Manager
Senior Manager
User avatar
Joined: 13 May 2013
Posts: 476
Followers: 0

Kudos [?]: 35 [0], given: 134

Re: If 3|3 – x| = 7, what is the product of all the possible va [#permalink] New post 10 Jul 2013, 09:38
If 3|3 – x| = 7, what is the product of all the possible values of x?

x≥3, x<3

x≥3:
3|3 – x| = 7
3 -(3-x) = 7
3 (-3+x) = 7
-9 + 3x = 7
3x = 16
x=16/3 Valid

x<3
3(3-x) = 7
9-3x = 7
-3x=-2
x=2/3

(16/3)*(2/3) = 32/9

(E)
Re: If 3|3 – x| = 7, what is the product of all the possible va   [#permalink] 10 Jul 2013, 09:38
    Similar topics Author Replies Last post
Similar
Topics:
New posts What is the value of (x-y)^4 (1) The product of x and y is 7 vivek123 3 09 Aug 2005, 10:34
New posts What is the value of (x-y)^4? 1) the product of x and y is 7 puma 2 09 May 2008, 03:51
New posts product of all possible solutions mbaMission 8 02 Jun 2009, 03:59
New posts 5 If 2|2 –x| = 5, what is the sum of all the possible values DelSingh 3 15 Aug 2012, 09:28
Popular new posts 11 Experts publish their posts in the topic What is the product of all the solutions of x^2 - 4x + 6=3 carcass 21 13 Feb 2013, 04:22
Display posts from previous: Sort by

If 3|3 – x| = 7, what is the product of all the possible va

  Question banks Downloads My Bookmarks Reviews Important topics  


GMAT Club MBA Forum Home| About| Privacy Policy| Terms and Conditions| GMAT Club Rules| Contact| Sitemap

Powered by phpBB © phpBB Group and phpBB SEO

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®.