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# Data Sufficiency

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Manager
Joined: 02 Sep 2008
Posts: 103

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17 Mar 2009, 21:13
If x^2 + y^2 = 1, is x + y = 1?
(1) xy = 0
(2) y = 0
A. Statement (1) ALONE is sufficient, but statement (2) alone is not sufficient.
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.

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Director
Joined: 14 Aug 2007
Posts: 704

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17 Mar 2009, 21:51
milind1979 wrote:
If x^2 + y^2 = 1, is x + y = 1?
(1) xy = 0
(2) y = 0

E.

1) either x can be 0 or y can be 0
if x=0, y^2 = 1 => y= +/-1 => x + y = +/-1
if y=0, x^2 = 1 => x = +/-1 = x + y = +/-1
insuff

2)
if y=0, x^2 = 1 => x = +/-1 = x + y = +/-1
insuff

together, no new information about x's sign , insuff.

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Re: Data Sufficiency   [#permalink] 17 Mar 2009, 21:51
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# Data Sufficiency

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