It is currently 20 Nov 2017, 20:02

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

Events & Promotions in June
Open Detailed Calendar

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

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

Hide Tags

1 KUDOS received
Manager
Manager
avatar
Joined: 08 Dec 2012
Posts: 66

Kudos [?]: 276 [1], given: 31

Location: United Kingdom
WE: Engineering (Consulting)
If 3|3 – x| = 7, what is the product of all the possible va [#permalink]

Show Tags

New post 28 Mar 2013, 21:09
1
This post received
KUDOS
4
This post was
BOOKMARKED
00:00
A
B
C
D
E

Difficulty:

  15% (low)

Question Stats:

75% (01:04) correct 25% (01:10) wrong based on 632 sessions

HideShow timer Statistics

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

Kudos [?]: 276 [1], given: 31

2 KUDOS received
Intern
Intern
User avatar
Status: Attending Duke in May!
Joined: 08 Jan 2013
Posts: 29

Kudos [?]: 43 [2], given: 18

Location: United States (NC)
Concentration: Leadership, Strategy
GMAT 1: 640 Q42 V35
Re: If 3|3 – x| = 7, what is the product of all the possible va [#permalink]

Show Tags

New post 28 Mar 2013, 21:40
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

Kudos [?]: 43 [2], given: 18

2 KUDOS received
VP
VP
User avatar
Status: Far, far away!
Joined: 02 Sep 2012
Posts: 1120

Kudos [?]: 2374 [2], given: 219

Location: Italy
Concentration: Finance, Entrepreneurship
GPA: 3.8
GMAT ToolKit User
Re: If 3|3 – x| = 7, what is the product of all the possible va [#permalink]

Show Tags

New post 29 Mar 2013, 00:29
2
This post received
KUDOS
1
This post was
BOOKMARKED
\(3|3 - x| = 7\)
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]

Kudos [?]: 2374 [2], given: 219

Intern
Intern
avatar
Joined: 15 Jan 2013
Posts: 38

Kudos [?]: 31 [0], given: 6

Concentration: Finance, Operations
GPA: 4
Re: If 3|3 – x| = 7, what is the product of all the possible va [#permalink]

Show Tags

New post 01 Apr 2013, 08:00
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 = \(2/3 * 16/3 = 32/9\)

Kudos [?]: 31 [0], given: 6

Senior Manager
Senior Manager
User avatar
Joined: 13 May 2013
Posts: 460

Kudos [?]: 202 [0], given: 134

Re: If 3|3 – x| = 7, what is the product of all the possible va [#permalink]

Show Tags

New post 10 Jul 2013, 10:38
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)

Kudos [?]: 202 [0], given: 134

Non-Human User
User avatar
Joined: 09 Sep 2013
Posts: 15614

Kudos [?]: 283 [0], given: 0

Premium Member
Re: If 3|3 – x| = 7, what is the product of all the possible va [#permalink]

Show Tags

New post 23 Jan 2015, 01:33
Hello from the GMAT Club BumpBot!

Thanks to another GMAT Club member, I have just discovered this valuable topic, yet it had no discussion for over a year. I am now bumping it up - doing my job. I think you may find it valuable (esp those replies with Kudos).

Want to see all other topics I dig out? Follow me (click follow button on profile). You will receive a summary of all topics I bump in your profile area as well as via email.
_________________

GMAT Books | GMAT Club Tests | Best Prices on GMAT Courses | GMAT Mobile App | Math Resources | Verbal Resources

Kudos [?]: 283 [0], given: 0

Intern
Intern
avatar
B
Joined: 10 Sep 2015
Posts: 2

Kudos [?]: [0], given: 29

Premium Member
Re: If 3|3 – x| = 7, what is the product of all the possible va [#permalink]

Show Tags

New post 09 Mar 2016, 05:40
I don't agree with E. 16/3, when substituted in the original equation doesn't satisfy it. you would get |-9/3| = 7/3 which is not legit. So we should discard 16/3 as a solution of the equation. That leaves us with 2/3 which is option C

Best Regards
Dheeraj Rekula

Kudos [?]: [0], given: 29

Expert Post
Math Expert
User avatar
V
Joined: 02 Sep 2009
Posts: 42269

Kudos [?]: 132851 [0], given: 12378

Re: If 3|3 – x| = 7, what is the product of all the possible va [#permalink]

Show Tags

New post 09 Mar 2016, 06:35
nave 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


Similar questions to practice:
if-2-2-x-5-what-is-the-sum-of-all-the-possible-values-137341.html
if-x-4-8-what-is-the-sum-of-all-the-possible-values-of-x-213939.html
what-is-the-sum-of-all-possible-solutions-of-the-equation-x-85988.html
what-is-the-sum-of-all-possible-solutions-to-x-3-2-x-205646.html
the-sum-of-all-solutions-for-x-in-the-equation-x-2-8x-21-x-197663.html
what-is-the-product-of-all-the-solutions-of-x-2-4x-7-x-190496.html
what-is-the-product-of-all-the-solutions-of-x-2-4x-147152.html
_________________

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

Kudos [?]: 132851 [0], given: 12378

Expert Post
Math Expert
User avatar
V
Joined: 02 Sep 2009
Posts: 42269

Kudos [?]: 132851 [0], given: 12378

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

Show Tags

New post 09 Mar 2016, 06:38
Caesar_1987 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

I don't agree with E. 16/3, when substituted in the original equation doesn't satisfy it. you would get|-9/3| = 7/3 which is not legit. So we should discard 16/3 as a solution of the equation. That leaves us with 2/3 which is option C

Best Regards
Dheeraj Rekula


16/3 does satisfy the equation:
3|3 – 16/3| = 7;
3*7/3 = 7.

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

Kudos [?]: 132851 [0], given: 12378

Non-Human User
User avatar
Joined: 09 Sep 2013
Posts: 15614

Kudos [?]: 283 [0], given: 0

Premium Member
Re: If 3|3 – x| = 7, what is the product of all the possible va [#permalink]

Show Tags

New post 12 Mar 2017, 15:01
Hello from the GMAT Club BumpBot!

Thanks to another GMAT Club member, I have just discovered this valuable topic, yet it had no discussion for over a year. I am now bumping it up - doing my job. I think you may find it valuable (esp those replies with Kudos).

Want to see all other topics I dig out? Follow me (click follow button on profile). You will receive a summary of all topics I bump in your profile area as well as via email.
_________________

GMAT Books | GMAT Club Tests | Best Prices on GMAT Courses | GMAT Mobile App | Math Resources | Verbal Resources

Kudos [?]: 283 [0], given: 0

Manager
Manager
avatar
S
Status: active
Joined: 25 Jan 2016
Posts: 166

Kudos [?]: 34 [0], given: 10

Location: India
Concentration: Finance, Entrepreneurship
GPA: 4
WE: Web Development (Computer Software)
Re: If 3|3 – x| = 7, what is the product of all the possible va [#permalink]

Show Tags

New post 13 Mar 2017, 01:19
3|3-x| = 7 can be rewritten as: |3−x|=7/3
so we have
1. 3-x =7/3
x=2/3

2. 3-x=-7/3
x=16/3

so product will be
32/9

Kudos [?]: 34 [0], given: 10

Re: If 3|3 – x| = 7, what is the product of all the possible va   [#permalink] 13 Mar 2017, 01:19
Display posts from previous: Sort by

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

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


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