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# If both x and y are nonzero numbers, what is the value of

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Manager
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If both x and y are nonzero numbers, what is the value of [#permalink]

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27 Feb 2008, 14:35
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If both x and y are nonzero numbers, what is the value of (y/x)?

(1) x = 6

(2) y^2 = x^2

Intern
Joined: 26 Feb 2008
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27 Feb 2008, 14:44
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1) No value for y and so insufficient

2) as y^2=x^2. This will always give the value for y/x =1
CEO
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27 Feb 2008, 15:00
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RyanDe680 wrote:
If both x and y are nonzero numbers, what is the value of (y/x)?

(1) x = 6

(2) y^2 = x^2

1: nothing on y

2: y could equal x or -y could equal x. Insuff. It could be 1^2=1^2 or -1^2=1^2.

Insuff.

Together still insuff. we dont know the sign of y.

E
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27 Feb 2008, 15:02
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shils01 wrote:

1) No value for y and so insufficient

2) as y^2=x^2. This will always give the value for y/x =1

for example y=-5, x=5
y^2=x^2 ... but y/x=1????? no
SVP
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27 Feb 2008, 15:15
E

shils, watch your approach, that is a very common GMAT trap. When you square a value, the squared value is always positive, but the sign of the number itself can be negative or positive. So when we are told that y^2=x^2, you cannot assume that y and x are positive/negative.
CEO
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27 Feb 2008, 15:17
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rule of thumb: u cannot infer anything from x^2 = y^2 except |X|=|y|
_________________

You tried your best and you failed miserably. The lesson is 'never try'. -Homer Simpson

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27 Feb 2008, 15:47
Thanks. I see the mistake I made.
Manager
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27 Feb 2008, 18:59
bmwhype2 wrote:
rule of thumb: u cannot infer anything from x^2 = y^2 except |X|=|y|

E. thanks bmwhype2 for the rationale
Re: Another DS question   [#permalink] 27 Feb 2008, 18:59
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