NEW HERE? LEARN MORE
closeclose
It is currently 19 Apr 2024, 14:36
Register
GMAT Focus Tests
Decision Tracker
My Rewards
New posts
New comers' posts

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.
Go to My Error Log Learn more
Close
Request Expert Reply
Confirm Cancel

If x(x - 5)(x + 2) = 0, is x negative?

8 posts Go to First Unread Post
Print view
NEW TOPIC
POST REPLY
Question banks

GMAT Question Banks

Downloads
My Bookmarks
Reviews
SORT BY:
Date
Kudos
User avatar
vaivish1723
Manager
Manager
Joined: 12 Mar 2009
Posts: 216
GMAT ToolKit User
If x(x - 5)(x + 2) = 0, is x negative? [#permalink] New post  17 Jan 2010, 10:43
3
Kudos
41
Bookmarks
00:00
A
B
C
D
E

Difficulty:

45% (medium)

Question Stats:

67% (01:46) correct 33% (02:05) wrong based on 1335 sessions
Hide Show timer Statistics
If x(x - 5)(x + 2) = 0, is x negative?

(1) x^2 – 7x ≠ 0
(2) x^2 –2x –15 ≠ 0
ShowHide Answer
Official Answer
Official Answer and Stats are available only to registered users. Register/Login.
request expert reply
Most Helpful Reply
User avatar
L
Bunuel
Math Expert
Joined: 02 Sep 2009
Posts: 92760
CAT Tests Forum Quiz Mode
If x(x - 5)(x + 2) = 0, is x negative? [#permalink] New post  17 Jan 2010, 13:24
4
Kudos
3
Bookmarks
Expert Reply
If x(x - 5)(x + 2) = 0, is x negative?

\(x(x - 5)(x + 2) = 0\) --> \(x=0\) or \(x=5\) or \(x=-2\). Question is \(x<0\) or is \(x=-2\)?

(1) x^2 – 7x ≠ 0 --> \(x(x-7)\neq{0}\)--> \(x\neq{0}\) and \(x\neq{7}\), so \(x\) can be 5 or -2 (from the stem as \(x=0\) is out). Not sufficient.

(2) x^2 –2x –15 ≠ 0 --> \((x+3)(x-5)\neq{0}\) --> \(x\neq{-3}\) and \(x\neq{5}\), so \(x\) can be 0 or -2 (from the stem as \(x=5\) is out). Not sufficient.

(1)+(2) As \(x=0\) and \(x=5\) are out, only value left is \(x=-2\), so \(x\) is negative. Sufficient.

Answer: C.
_________________
New to the GMAT CLUB Forum?

My Signature Questions' Collection:


What are GMAT Club Tests?
Extra-hard Quant Tests with Brilliant Analytics
Signature Read More
General Discussion
User avatar
sambam
Manager
Manager
Joined: 18 Oct 2011
Posts: 58
Location: United States
Concentration: Entrepreneurship, Marketing
GMAT Date: 01-30-2013
GPA: 3.3
Re: If x(x - 5)(x + 2) = 0, is x negative? [#permalink] New post  04 Jul 2013, 08:23
For the given equation to be equal to 0 x must either equal 0, 5 or -2.

Statement 1: Tells us that x cannot equal 0 or 7. But it could equal 5 or -2. Not sufficient
Statement 2: Tells us that x cannot equal 5 or -3. But it could equal -2 or 0.

Taken together x cannot equal 0 or 5. Therefore, x must equal -2. Answer: C
User avatar
B
TooLong150
Manager
Manager
Joined: 10 Mar 2013
Posts: 137
GMAT 1: 620 Q44 V31
GMAT 2: 610 Q47 V28
GMAT 3: 700 Q49 V36
GMAT 4: 690 Q48 V35
GMAT 5: 750 Q49 V42
GMAT 6: 730 Q50 V39
GPA: 3
Reviews Badge
Re: If x(x - 5)(x + 2) = 0, is x negative? [#permalink] New post  30 Dec 2013, 22:20
vaivish1723 wrote:
If x(x - 5)(x + 2) = 0, is x negative?

(1) x^2 – 7x ≠ 0
(2) x^2 –2x –15 ≠ 0


We definitely need to bold or make larger the not equals symbol in the question. From a distance it looks like an equals symbol.
User avatar
pradeepss
Manager
Manager
Joined: 19 Sep 2008
Status:Please do not forget to give kudos if you like my post
Posts: 69
Location: United States (CA)
GMAT ToolKit User
Re: If x(x - 5)(x + 2) = 0, is x negative? [#permalink] New post  18 Oct 2014, 13:49
Either X = 0 OR X = 5 OR X = -2 . Is X = -2?

1. X cannot be 0 or 7 ==> X can be 5 or -2. NS
2. X cannot be 5 or -3 ==> X can be 0 or -2. NS

1&2. X cannot be 0 or 5 so X = -2, Sufficient.

ANSWER: C

vaivish1723 wrote:
If x(x - 5)(x + 2) = 0, is x negative?

(1) x^2 – 7x ≠ 0
(2) x^2 –2x –15 ≠ 0
avatar
S
AD2GMAT
Manager
Manager
Joined: 30 Jul 2014
Status:MBA Completed
Affiliations: IIM
Posts: 91
Reviews Badge
Re: If x(x - 5)(x + 2) = 0, is x negative? [#permalink] New post  09 Sep 2017, 08:38
I did silly mistake in factorising - (2) "x^2 –2x –15 ≠ 0" - marked B
User avatar
G
Basshead
Director
Director
Joined: 09 Jan 2020
Posts: 967
Location: United States
Re: If x(x - 5)(x + 2) = 0, is x negative? [#permalink] New post  23 Nov 2020, 19:43
1
Kudos
vaivish1723 wrote:
If x(x - 5)(x + 2) = 0, is x negative?

(1) x^2 – 7x ≠ 0
(2) x^2 –2x –15 ≠ 0


(1) \(x(x-7) ≠ 0\)

x ≠ 0, 7

INSUFFICIENT.

(2) \(x^2-2x-15≠0\)
x ≠ 5, -3

INSUFFICIENT.

(1&2) We're told \(x(x - 5)(x + 2) = 0\)
x ≠ 5, 0. Therefore x must be -2. SUFFICIENT.

Answer is C.
_________________
Help me get better -- please critique my responses!
Signature Read More
User avatar
bumpbot
Non-Human User
Joined: 09 Sep 2013
Posts: 32543
Re: If x(x - 5)(x + 2) = 0, is x negative? [#permalink] New post  28 Oct 2023, 09:54
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
Signature Read More
GMAT Club Bot
gmatclubot
Re: If x(x - 5)(x + 2) = 0, is x negative? [#permalink]
28 Oct 2023, 09:54
NEW TOPIC
POST REPLY
Downloads
My Bookmarks
Reviews
Moderator:
Bunuel
Math Expert
92760 posts

cron

Powered by phpBB © phpBB Group | Emoji artwork provided by EmojiOne
Main navigation
GMAT Resources
Partners
MBA Resources
www.gmac.com|www.mba.com | | GMAT Club Rules | Terms and Conditions