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# If y is an integer and y = |x| + x, is y = 0? (1) x < 0

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VP
Joined: 21 Jul 2006
Posts: 1490
If y is an integer and y = |x| + x, is y = 0? (1) x < 0 [#permalink]

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27 Oct 2008, 10:51
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If y is an integer and y = |x| + x, is y = 0?

(1) x < 0

(2) y < 1

Thanks

--== Message from GMAT Club Team ==--

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If you would like to discuss this question please re-post it in the respective forum. Thank you!

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Director
Joined: 23 May 2008
Posts: 757

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27 Oct 2008, 11:11
1)if x less than 0 then lxl + x has to be 0 ..suff
2) if y<1 then then lxl + x is less than one, which means -tve numbers since y is an integer so same results as 1)
..suff

D
SVP
Joined: 29 Aug 2007
Posts: 2453

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27 Oct 2008, 11:12
tarek99 wrote:
If y is an integer and y = |x| + x, is y = 0?

(1) x < 0
(2) y < 1

Thanks

Did not you get D?
Yeah, it should be D.

St 1 is sufficient - no need to expalin.
St 2 is also sufficient - since Y is an integer and <1, Y must be 0 cuz at any cost Y cannot be -ve.

so D.
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VP
Joined: 21 Jul 2006
Posts: 1490

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27 Oct 2008, 11:33
GMAT TIGER wrote:
tarek99 wrote:
If y is an integer and y = |x| + x, is y = 0?

(1) x < 0
(2) y < 1

Thanks

Did not you get D?
Yeah, it should be D.

St 1 is sufficient - no need to expalin.
St 2 is also sufficient - since Y is an integer and <1, Y must be 0 cuz at any cost Y cannot be -ve.

so D.

OA is D. I got A when I worked on this problem. Stupid mistake
Current Student
Joined: 28 Dec 2004
Posts: 3311
Location: New York City
Schools: Wharton'11 HBS'12

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27 Oct 2008, 13:03
key is Y is an integer..so if y<1 then the only option is that its 0..
VP
Joined: 30 Jun 2008
Posts: 1019

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27 Oct 2008, 17:32
tarek99 wrote:
If y is an integer and y = |x| + x, is y = 0?

(1) x < 0

(2) y < 1

Thanks

(1) x < 0. Pick any simple -ve number for x. say x = -2

now y = |-2| + (-2) = 2-2 = 0. Statement 1 is sufficient.

(2) y < 1. y could be 0,-1,-2,-3 .........

but we have an extra info in the stem, y = |x| + x. if y<1 then |x| + x < 1 or |x| + x </= 0............ [</= --- lesser than or equal to]

|x| </= -x .... now this can happen only when x </= 0

so y has to be 0.. Statement 2 is sufficient.

D.

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If you would like to discuss this question please re-post it in the respective forum. Thank you!

To review the GMAT Club's Forums Posting Guidelines, please follow these links: Quantitative | Verbal Please note - we may remove posts that do not follow our posting guidelines. Thank you.

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Re: DS: absolute value   [#permalink] 27 Oct 2008, 17:32
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