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# Algebra

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Manager
Joined: 02 Sep 2008
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25 Mar 2009, 23:04
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This topic is locked. If you want to discuss this question please re-post it in the respective forum.

This topic is locked. If you want to discuss this question please re-post it in the respective forum.

If x(x - 5)(x + 2) = 0, is x negative?
(1) x^2 – 7x ≠ 0
(2) x^2 –2x –15 ≠ 0
A. Statement (1) ALONE is sufficient, but statement (2) alone is not sufficient.
3
B. Statement (2) ALONE is sufficient, but statement (1) alone is not sufficient.
C. BOTH statements TOGETHER are sufficient, but NEITHER statement ALONE is
sufficient.
D. EACH statement ALONE is sufficient.
E. Statements (1) and (2) TOGETHER are NOT sufficient.
Intern
Joined: 07 Feb 2009
Posts: 49
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26 Mar 2009, 04:30
My ans is E.

Explanation:

Given expression: x(x - 5)(x + 2) = 0
that means, x=0 or, x=5 or, x=-2.

Now lets take the Stat 1, which says
x^2 – 7x ≠ 0
so, either x≠0 or, x≠7
this doesn't give enough information to find out whether x is a negative value.
We can say that x is not negative, only if we get x≠-2.

Now lets take the Stat 2, which says
x^2 –2x –15 ≠ 0
or, x^2 –5x+3x –15 ≠ 0
or,(x-5)(x+3) ≠ 0
so, either x≠5 or, x≠-3
this also doesn't give enough information to find out whether x is a negative value.

Now even if we combine results of both the statements, we can't say that x≠-2.
Director
Joined: 01 Apr 2008
Posts: 882
Name: Ronak Amin
Schools: IIM Lucknow (IPMX) - Class of 2014
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26 Mar 2009, 08:05
IMO C.
Because x(x-7)≠0 implies x≠0 and x≠7. ( not or).
Similarly for stmt 2.
So from 1 and 2, x=-2 i.e. negative.

What is OA?
milind1979 wrote:
If x(x - 5)(x + 2) = 0, is x negative?
(1) x^2 – 7x ≠ 0
(2) x^2 –2x –15 ≠ 0
A. Statement (1) ALONE is sufficient, but statement (2) alone is not sufficient.
3
B. Statement (2) ALONE is sufficient, but statement (1) alone is not sufficient.
C. BOTH statements TOGETHER are sufficient, but NEITHER statement ALONE is
sufficient.
D. EACH statement ALONE is sufficient.
E. Statements (1) and (2) TOGETHER are NOT sufficient.
Senior Manager
Joined: 16 Jan 2009
Posts: 359
Concentration: Technology, Marketing
GMAT 1: 700 Q50 V34
GPA: 3
WE: Sales (Telecommunications)
Followers: 4

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26 Mar 2009, 13:36
If x(x - 5)(x + 2) = 0
x=0 oR
x-5=0 OR
x+2=0

(1) x^2 – 7x ≠ 0
x(x-7)≠ 0
so x≠0

(2) x^2 –2x –15 ≠ 0
x-5 ≠0

so x+2=0
x=-2

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Re: Algebra   [#permalink] 26 Mar 2009, 13:36
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