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Re: tricky q from GMATPrep2 [#permalink]
14 Dec 2010, 21:39
Each of (1) and (2) are sufficient to answer the question. Thus the answer should be "D". From(1), any value of X<0, whether it's integer or fraction will lead to Y = 0 because the mode function will result in positive value and positive value added to same negative value will result in Zero. From (2), We can have Y as negative Integer ( -1,-2....) if and only if the Right hand side of equation is different. It's just adding the same X and it can't lead to the negative value.
Yes it can definitely lead to the Zero.
Thus Answer should be D.
You can plug and play certain values ( numbers ) in order to verify the above.
Re: tricky q from GMATPrep2 [#permalink]
15 Dec 2010, 00:50
1
This post received KUDOS
Expert's post
Fijisurf wrote:
I am sure it is posted somewhere on the forum already , I just can't find it.
If y is an integer and y=|x|+x, is y=0?
(1)x<0 (2)y<1
If y is an integer and y = |x| + x, is y = 0? (1) x < 0 (2) y < 1
Note: as \(y=|x|+x\) then \(y\) is never negative. If \(x>{0}\) then \(y=x+x=2x>0\) and if \(x\leq{0}\) (when x is negative or zero) then \(y=-x+x=0\).
(1) \(x<0\) --> \(y=|x|+x=-x+x=0\). Sufficient.
(2) \(y<1\), as we concluded y is never negative, and we are given that \(y\) is an integer, hence \(y=0\). Sufficient.
Re: tricky q from GMATPrep2 [#permalink]
16 Dec 2010, 05:51
Expert's post
Fijisurf wrote:
I am sure it is posted somewhere on the forum already , I just can't find it.
If y is an integer and y=|x|+x, is y=0?
(1)x<0 (2)y<1
A word of caution: When you read "If y is an integer and y=|x|+x", analyze it there and then. y can be a positive integer when x is positive, y will be 0 when x is negative and y will be 0 when x is 0." Another important point to note here: When the author puts in extra effort to write "y is an integer" rather than "x and y are integers" , take special note that x may not be an integer. Not that it matters very much here but in many questions such a statement will have special significance. _________________
Re: If y is an integer and y=|x|+x, is y=0? [#permalink]
06 Feb 2014, 03:45
Hello from the GMAT Club BumpBot!
Thanks to another GMAT Club member, I have just discovered this valuable topic, yet it had no discussion for over a year. I am now bumping it up - doing my job. I think you may find it valuable (esp those replies with Kudos).
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Re: If y is an integer and y=|x|+x, is y=0? [#permalink]
07 Feb 2014, 16:23
If y is an integer and y = |x| + x, is y = 0? y = 0, when x < 0; y = 2x, when x >=0 (1) x < 0 => y = 0 (2) y < 1 -> Because y is an integer, y has to be zero (y cannot be a negative integer because the least value of y is zero).
D
gmatclubot
Re: If y is an integer and y=|x|+x, is y=0?
[#permalink]
07 Feb 2014, 16:23
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