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¦x¦=¦y¦??

by gmatmachoman » Sun Mar 28, 2010 4:08 am
Is ¦x¦=¦y¦?
(1) x - y = 6
(2) x + 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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Source: — Data Sufficiency |
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by neoreaves » Sun Mar 28, 2010 4:35 am
1) Insufficient.
on first look i was tempted to say that |x| is not equal to |y| but lets take

however, x = 3, y = -3

this satisfies the equation and x and y are equal

any other numbers can satisfy the equation take x = 12, y = 6...here the mods arent equal but x-y = 6

thus Insufficient

2) x = -y

Thus |x| = |-x| = |y|
Sufficient


IMO B
Last edited by neoreaves on Sun Mar 28, 2010 5:01 am, edited 1 time in total.
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by suryapal » Sun Mar 28, 2010 4:49 am
i think the answer is B.. is it????
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by eaakbari » Mon Mar 29, 2010 7:14 am
Statement one
Pick values -3 , 3
0 6
Contradiction
Insuff


Statement two
x= -y
Suff

Hence answer B
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by blaster » Tue Mar 30, 2010 2:23 am
my answer is B

just pick numbers
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