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24 Sep 2007, 13:20
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If x2 + y2 =1, is x + y =1?
(1) xy =o
(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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This a easy one....i picked A
X^2+Y^2+2XY = 1 + 2XY = 1 (if (1) info is given)
X=+/- 1 if (2) given
so A
Please post any other views????
(1) xy =o
(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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This a easy one....i picked A
X^2+Y^2+2XY = 1 + 2XY = 1 (if (1) info is given)
X=+/- 1 if (2) given
so A
Please post any other views????
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24 Sep 2007, 13:38
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singh_amit19
Stmnt1
Here it means either x or y is 0 . So that would end up as either
x = (+/-) 1 or y = (+/-) 1 . Dont get anything from here. A insuff.
Stmnt2
x = +/- 1 . So B is insuff too. Its just like stmnt 1 .
Combining , I dont think still we can prove x+y = 1 .
I would give E.
24 Sep 2007, 14:30
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singh_amit19
agreed with E.
from stmt 1, we know that either x or y is 0 but the other value is 1 or -1, so x + y may or may not be 1
INSUFFICIENT
from stmt 2, we know that y is 0, but again x can be 1 or -1
putting them together doesn't yield any more information so both are not sufficient
by the way, BE CAREFUL x^2 + y^2 DOES NOT equal to (x+y)^2 as you noted above.. test out some values and you'll know what i mean
