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Algebra

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Manager
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Joined: 02 Sep 2008
Posts: 103
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Algebra [#permalink] New post 25 Mar 2009, 22:04
00:00
A
B
C
D
E

Difficulty:

(N/A)

Question Stats:

100% (01:03) correct 0% (00:00) wrong based on 0 sessions
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.
Manager
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Posts: 50
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Re: Algebra [#permalink] New post 26 Mar 2009, 03:30
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
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Schools: IIM Lucknow (IPMX) - Class of 2014
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Re: Algebra [#permalink] New post 26 Mar 2009, 07:05
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
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Joined: 16 Jan 2009
Posts: 362
Concentration: Technology, Marketing
GMAT 1: 700 Q50 V34
GPA: 3
WE: Sales (Telecommunications)
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Kudos [?]: 73 [0], given: 16

Re: Algebra [#permalink] New post 26 Mar 2009, 12:36
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

Answer : C
_________________

Lahoosaher

Re: Algebra   [#permalink] 26 Mar 2009, 12:36
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