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

It is currently 18 Jun 2019, 18:08

Close

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
Your Progress

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

Not interested in getting valuable practice questions and articles delivered to your email? No problem, unsubscribe here.

Close

Request Expert Reply

Confirm Cancel

If x and y are consecutive negative integers, is x greater

  new topic post reply Question banks Downloads My Bookmarks Reviews Important topics  
Author Message
TAGS:

Hide Tags

 
Manager
Manager
User avatar
Joined: 20 Nov 2009
Posts: 120
If x and y are consecutive negative integers, is x greater  [#permalink]

Show Tags

New post Updated on: 04 Aug 2010, 23:18
8
00:00
A
B
C
D
E

Difficulty:

  25% (medium)

Question Stats:

75% (01:28) correct 25% (01:47) wrong based on 113 sessions

HideShow timer Statistics

If x and y are consecutive negative integers, is x greater than y?

(1) x + 1 and y – 1 are consecutive negative integers.
(2) x is an even integer.

_________________
But there’s something in me that just keeps going on. I think it has something to do with tomorrow, that there is always one, and that everything can change when it comes.
http://aimingformba.blogspot.com

Originally posted by aiming4mba on 04 Aug 2010, 22:58.
Last edited by aiming4mba on 04 Aug 2010, 23:18, edited 1 time in total.
Math Expert
User avatar
V
Joined: 02 Sep 2009
Posts: 55670
Re: DS question  [#permalink]

Show Tags

New post 04 Aug 2010, 23:51
1
aiming4mba wrote:
If x and y are consecutive negative integers, is x greater than y?
a. x + 1 and y – 1 are consecutive negative integers.
b. x is an even integer.


\(x\) and \(y\) are consecutive integers means that either:
\(y=x+1\) (for example \(x=-5\) and \(y=-4\)), in this case \(x<y\);
OR:
\(x=y+1\) (for example \(x=-5\) and \(y=-6\)), in this case \(x>y\).

So the we should determine which case we have.

(1) \(x+1\) and \(y-1\) are consecutive negative integers --> again either \(x+1=(y-1)+1\) --> \(x+1=y\) (first case so \(x<y\)) or \(y-1=(x+1)+1\) --> \(y=x+3\), which is not possible as \(x\) and \(y\) are consecutive integers (difference between two consecutive integers can not equal to 3). So only first case is possible: \(x<y\). Sufficient.

(2) \(x\) is an even integer. Clearly insufficient.

Answer: A.
_________________
Senior Manager
Senior Manager
User avatar
D
Status: Manager
Joined: 27 Oct 2018
Posts: 353
Location: Egypt
Concentration: Strategy, International Business
GPA: 3.67
WE: Pharmaceuticals (Health Care)
GMAT ToolKit User
Re: If x and y are consecutive negative integers, is x greater  [#permalink]

Show Tags

New post 20 Apr 2019, 03:37
Alternative approach: we can also translate the question into absolute equality.

given : |x-y| = 1

statement 1: |x+1-y+1| = 1
so |x+1-y+1| = |x-y|
if both sides have same sign, then x-y+2 = x-y; and 2 = 0 ---> invalid
if both sides have opposite signs, then x-y+2 = y-x ; and 2x + 2 = 2y ; and x+1 = y ---> so y is always greater than x by 1 ---> sufficient

statement 2: x is even ---> so y is odd but can still be smaller than or bigger than x by 1 ---> insufficient
_________________
GMAT Club Bot
Re: If x and y are consecutive negative integers, is x greater   [#permalink] 20 Apr 2019, 03:37
Display posts from previous: Sort by

If x and y are consecutive negative integers, is x greater

  new topic post reply Question banks Downloads My Bookmarks Reviews Important topics  


Powered by phpBB © phpBB Group | Emoji artwork provided by EmojiOne