It is currently 22 Nov 2017, 23:05

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

Author Message
TAGS:

### Hide Tags

Senior Manager
Joined: 12 Mar 2009
Posts: 308

Kudos [?]: 465 [2], given: 1

If x(x - 5)(x + 2) = 0, is x negative? [#permalink]

### Show Tags

17 Jan 2010, 10:43
2
KUDOS
13
This post was
BOOKMARKED
00:00

Difficulty:

55% (hard)

Question Stats:

59% (01:17) correct 41% (01:19) wrong based on 548 sessions

### HideShow timer Statistics

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

(1) x^2 – 7x ≠ 0
(2) x^2 –2x –15 ≠ 0
[Reveal] Spoiler: OA

Kudos [?]: 465 [2], given: 1

Math Expert
Joined: 02 Sep 2009
Posts: 42305

Kudos [?]: 133080 [3], given: 12403

### Show Tags

17 Jan 2010, 13:24
3
KUDOS
Expert's post
1
This post was
BOOKMARKED
vaivish1723 wrote:
If x(x - 5)(x + 2) = 0, is x negative?
(1) x^2 – 7x ≠ 0
(2) x^2 –2x –15 ≠ 0

OA is
[Reveal] Spoiler:
c

Pl explain.

$$x(x - 5)(x + 2) = 0$$ --> $$x=0$$ 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.

_________________

Kudos [?]: 133080 [3], given: 12403

Math Expert
Joined: 02 Sep 2009
Posts: 42305

Kudos [?]: 133080 [0], given: 12403

Re: If x(x - 5)(x + 2) = 0, is x negative? [#permalink]

### Show Tags

03 Jul 2013, 01:17
Bumping for review and further discussion*. Get a kudos point for an alternative solution!

*New project from GMAT Club!!! Check HERE

Theory on Algebra: algebra-101576.html

DS Algebra Questions to practice: search.php?search_id=tag&tag_id=29
PS Algebra Questions to practice: search.php?search_id=tag&tag_id=50

Special algebra set: new-algebra-set-149349.html

_________________

Kudos [?]: 133080 [0], given: 12403

Manager
Joined: 18 Oct 2011
Posts: 89

Kudos [?]: 91 [0], given: 0

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]

### Show Tags

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

Kudos [?]: 91 [0], given: 0

Senior Manager
Joined: 10 Mar 2013
Posts: 268

Kudos [?]: 126 [0], given: 2405

GMAT 1: 620 Q44 V31
GMAT 2: 690 Q47 V37
GMAT 3: 610 Q47 V28
GMAT 4: 700 Q50 V34
GMAT 5: 700 Q49 V36
GMAT 6: 690 Q48 V35
GMAT 7: 750 Q49 V42
GMAT 8: 730 Q50 V39
Re: If x(x - 5)(x + 2) = 0, is x negative? [#permalink]

### Show Tags

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.

Kudos [?]: 126 [0], given: 2405

Manager
Status: Please do not forget to give kudos if you like my post
Joined: 19 Sep 2008
Posts: 121

Kudos [?]: 104 [0], given: 257

Location: United States (CA)
Re: If x(x - 5)(x + 2) = 0, is x negative? [#permalink]

### Show Tags

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.

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

(1) x^2 – 7x ≠ 0
(2) x^2 –2x –15 ≠ 0

_________________

[Reveal] Spoiler:

Kudos [?]: 104 [0], given: 257

Manager
Joined: 30 Jul 2014
Posts: 136

Kudos [?]: 11 [0], given: 98

GPA: 3.72
Re: If x(x - 5)(x + 2) = 0, is x negative? [#permalink]

### Show Tags

09 Sep 2017, 08:38
I did silly mistake in factorising - (2) "x^2 –2x –15 ≠ 0" - marked B
_________________

A lot needs to be learned from all of you.

Kudos [?]: 11 [0], given: 98

Re: If x(x - 5)(x + 2) = 0, is x negative?   [#permalink] 09 Sep 2017, 08:38
Display posts from previous: Sort by