GMAT Question of the Day - Daily to your Mailbox; hard ones only

 It is currently 21 Jan 2019, 05:49

### GMAT Club Daily Prep

#### Thank you for using the timer - this advanced tool can estimate your performance and suggest more practice questions. We have subscribed you to Daily Prep Questions via email.

Customized
for You

we will pick new questions that match your level based on your Timer History

Track

every week, we’ll send you an estimated GMAT score based on your performance

Practice
Pays

we will pick new questions that match your level based on your Timer History

## Events & Promotions

###### Events & Promotions in January
PrevNext
SuMoTuWeThFrSa
303112345
6789101112
13141516171819
20212223242526
272829303112
Open Detailed Calendar
• ### GMAT Club Tests are Free & Open for Martin Luther King Jr.'s Birthday!

January 21, 2019

January 21, 2019

10:00 PM PST

11:00 PM PST

Mark your calendars - All GMAT Club Tests are free and open January 21st for celebrate Martin Luther King Jr.'s Birthday.
• ### The winners of the GMAT game show

January 22, 2019

January 22, 2019

10:00 PM PST

11:00 PM PST

In case you didn’t notice, we recently held the 1st ever GMAT game show and it was awesome! See who won a full GMAT course, and register to the next one.

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

Author Message
Intern
Joined: 08 Feb 2010
Posts: 39
GMAT 1: 670 Q50 V31
WE: Project Management (Energy and Utilities)
If y is an integer and y = x + |x|, is y = 0? (1) x < 0  [#permalink]

### Show Tags

08 Aug 2011, 03:37
00:00

Difficulty:

55% (hard)

Question Stats:

54% (00:15) correct 46% (00:19) wrong based on 26 sessions

### HideShow timer Statistics

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

I do not agree with OA.

OPEN DISCUSSION OF THIS QUESTION IS HERE: if-y-is-an-integer-and-y-x-x-is-y-127927.html

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

THERE IS LIKELY A BETTER DISCUSSION OF THIS EXACT QUESTION.
This discussion does not meet community quality standards. It has been retired.

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.
Retired Moderator
Joined: 20 Dec 2010
Posts: 1810
Re: If y is an integer and y = x + |x|, is y = 0? (1) x < 0  [#permalink]

### Show Tags

08 Aug 2011, 03:53
suraabhi wrote:
If y is an integer and y = x + |x|, is y = 0?
(1) x < 0
(2) y < 1

I do not agree with OA.

We can conclude with sureness that "y=0" using each statement alone. OA is correct. Why do you think otherwise?
_________________
Intern
Joined: 08 Feb 2010
Posts: 39
GMAT 1: 670 Q50 V31
WE: Project Management (Energy and Utilities)
Re: If y is an integer and y = x + |x|, is y = 0? (1) x < 0  [#permalink]

### Show Tags

08 Aug 2011, 03:58
Why is y not considered in negative range of Integers is what i am confused about.
Retired Moderator
Joined: 20 Dec 2010
Posts: 1810
Re: If y is an integer and y = x + |x|, is y = 0? (1) x < 0  [#permalink]

### Show Tags

08 Aug 2011, 04:03
suraabhi wrote:
Why is y not considered in negative range of Integers is what i am confused about.

Because "y" can't be negative.

y = x + |x|

If x>0
y=x+x=2x
y=2x ; as x>0; y must be positive

If x<=0
y=x-x=0; Here y=0 for all x<=0;

In any case; y is either "0" or +ve.

1. x<0
y=0 for x<=0
Sufficient.

2. y<1;
The only non-negative integer less than 1 is 0.
Sufficient.

Ans: "D"
_________________
Intern
Joined: 08 Feb 2010
Posts: 39
GMAT 1: 670 Q50 V31
WE: Project Management (Energy and Utilities)
Re: If y is an integer and y = x + |x|, is y = 0? (1) x < 0  [#permalink]

### Show Tags

08 Aug 2011, 04:56
Thanks fluke. Got it.
Manager
Joined: 24 Aug 2008
Posts: 160
Location: India
WE 1: 3.75 IT
WE 2: 1.0 IT
Re: If y is an integer and y = x + |x|, is y = 0? (1) x < 0  [#permalink]

### Show Tags

08 Aug 2011, 05:38
fluke wrote:

Because "y" can't be negative.
y = x + |x|

If x>0
y=x+x=2x
y=2x ; as x>0; y must be positive

If x<=0
y=x-x=0; Here y=0 for all x<=0;

In any case; y is either "0" or +ve.

Fluke, Thanks.. I missed actually part where y has to be positive. Though got the answer right.
_________________

Cheers,
Varun

If you like my post, give me KUDOS!!

Retired Moderator
Joined: 05 Jul 2006
Posts: 1722
Re: If y is an integer and y = x + |x|, is y = 0? (1) x < 0  [#permalink]

### Show Tags

08 Aug 2011, 16:22
[quote="suraabhi"]If y is an integer and y = x + |x|, is y = 0?
(1) x < 0
(2) y < 1

for y to be zero x has to be -ve

from 1
suff

from 2
not relevent

A
Director
Joined: 03 May 2007
Posts: 797
Schools: University of Chicago, Wharton School
Re: If y is an integer and y = x + |x|, is y = 0? (1) x < 0  [#permalink]

### Show Tags

09 Aug 2011, 19:09
suraabhi wrote:
If y is an integer and y = x + |x|, is y = 0?
(1) x < 0
(2) y < 1

I do not agree with OA.

Also go with D.

Remember ----- y is an integer.

1. If x is an integer and smaller than 0, then it is a -ve integer. When putting the value of x in the equation (y = x + |x|), y is always 0. Sufficient.

2. If y is smaller than 1, it must be 0 because no matter the value of x, the minimum (x + |x|) can be is 0. Sufficient.

(Here somebody might wonder y could be 2 if x = 1. But again, remember statement 2 says y<1 i.e y cannot be greater than 1. Therefore x also cannot be >0.)
Math Expert
Joined: 02 Sep 2009
Posts: 52342
Re: If y is an integer and y = x + |x|, is y = 0? (1) x < 0  [#permalink]

### Show Tags

11 Dec 2017, 02:17
If y is an integer and y = |x| + x, is y = 0?

Notice that from $$y=|x|+x$$ it follows that y cannot be negative:
If $$x>0$$, then $$y=x+x=2x=2*positive=positive$$;
If $$x\leq{0}$$ (when x is negative or zero) then $$y=-x+x=0$$.

(1) $$x [m]y=|x|+x=-x+x=0$$. Sufficient.

(2) $$y<1$$. We found out above that y cannot be negative and we are given that y is an integer, hence $$y=0$$. Sufficient.

OPEN DISCUSSION OF THIS QUESTION IS HERE: if-y-is-an-integer-and-y-x-x-is-y-127927.html

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

THERE IS LIKELY A BETTER DISCUSSION OF THIS EXACT QUESTION.
This discussion does not meet community quality standards. It has been retired.

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.

_________________
Re: If y is an integer and y = x + |x|, is y = 0? (1) x < 0 &nbs [#permalink] 11 Dec 2017, 02:17
Display posts from previous: Sort by