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Difficulty:
5%
(low)
Question Stats:
87% (00:39) correct
13%
(00:36)
wrong
based on 103
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Is x = 0?
(1) xy = x
(2) x + y = y
M36-80
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(1) xy = x
(2) x + y = y
M36-80
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Pure algebraic questions like this one are no longer part of the GMAT Data Sufficiency syllabus.
For relevant Data Sufficiency questions, please check the Data Sufficiency forum:
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ravigupta2912
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Statement 1
x could be 0 OR x,y could be 1 each. A isn’t sufficient.
Statement 2
x + y = y
x + y - y = 0
x = 0
I don’t think there’s any thing else possible.
B is the answer imo
Posted from my mobile device
x could be 0 OR x,y could be 1 each. A isn’t sufficient.
Statement 2
x + y = y
x + y - y = 0
x = 0
I don’t think there’s any thing else possible.
B is the answer imo
Posted from my mobile device
Statement 1:
xy-x=0
X(y-1)=0
Either X=0 or y=1 and X is anything.
Not sufficient
Statement 2
X=y-y=0
Sufficient
So B is the answer ,IMO
Posted from my mobile device
xy-x=0
X(y-1)=0
Either X=0 or y=1 and X is anything.
Not sufficient
Statement 2
X=y-y=0
Sufficient
So B is the answer ,IMO
Posted from my mobile device
Bunuel
Question: Is x = 0?
Statement 1: xy = x
CAUTION:
Never cancel out a variable in an equation on both sides unless it's clearly mentioned that the variable is non-zero
Never cancel out a variable in an equation on both sides unless it's clearly mentioned that the variable is non-zero
I.e. xy - x = 0
I e. x(y-1) = 0
I.e. Either x=0 or y = 1 hence
NOT SUFFICIENT
Statement 2: x+y= y
I.e. x = 0
SUFFICIENT
Answer Option B
Posted from my mobile device
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Bunuel
Official Solution:
Is \(x = 0\)?
(1) \(xy = x\):
\(xy - x=0\);
\(x(y - 1)=0\);
Either \(x=0\) (and \(y\) can be any number) or \(y=1\) (and \(x\) can be any number). Not sufficient.
(2) \(x + y = y\)
Canceling \(y\) gives \(x=0\). Sufficient.
Answer: B
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