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DS Ques - is x negative?

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DS Ques - is x negative?

by pinktiger » Wed Jun 18, 2008 10:15 am
If x(x - 5)(x + 2) = 0, is x negative?
(1) x2 – 7x ≠ 0
(2) x2 –2x –15 ≠ 0

A. Statement (1) ALONE is sufficient, but statement (2) alone is not sufficient.
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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.

Pls explain your answer. thanks
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by durgesh79 » Wed Jun 18, 2008 10:47 am
question stem x(x-5)(x+2) = 0
either x=0, x=5 or x=-2

Statement 1 x(x-7) is not equal to 0 --> x not equal to 0

but x can still be 5 or -2. Insuff.

Statement 2
x^2 - 2x -15
x^2 - 5x + 3x -15
x(x-5) +3(x-5)
(x-5)(x+3) is not equal to 0 --> x is not equal to 5. but it could be 0 or -2
Insuff

Combine 1 and 2.
Suff: Answer C
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by pinktiger » Wed Jun 18, 2008 11:00 am
Thanks ! C is OA.
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