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

It is currently 18 Mar 2019, 21:09

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

Is 1/x-y<y-x?

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

Hide Tags

 
Director
Director
User avatar
P
Joined: 23 Feb 2015
Posts: 756
GMAT 1: 720 Q49 V40
GMAT ToolKit User Premium Member
Is 1/x-y<y-x?  [#permalink]

Show Tags

New post 07 Mar 2019, 09:50
1
00:00
A
B
C
D
E

Difficulty:

  35% (medium)

Question Stats:

80% (01:24) correct 20% (01:33) wrong based on 15 sessions

HideShow timer Statistics

Is \(\frac{1}{x-y}\)< \((y-x)\)?
1) \(x>0\)
2) \(y<0\)

_________________

“The heights by great men reached and kept were not attained in sudden flight but, they while their companions slept, they were toiling upwards in the night.”
― Henry Wadsworth Longfellow

Math Expert
User avatar
V
Joined: 02 Aug 2009
Posts: 7415
Is 1/x-y<y-x?  [#permalink]

Show Tags

New post 07 Mar 2019, 19:29
Is \(\frac{1}{x-y}\)< \((y-x)\)?
1) \(x>0\)...x=2, y=1, Ans is NO, but X=2 and y=3, the answer will be yes..
2) \(y<0\)...x=2, y=-1, answer is NO, but x=-3 and y=-1, the answer will be yes..

Combined..
X>0 and y<0, so x-y>0 and \(\frac{1}{x-y}\) will always be positive..
On the other hand y-x will be negative.. so \(\frac{1}{(x-y)}>y-x\)
Answer will always be NO
Sufficient

C

SECOND way..
We can modify the original condition...
\(\frac{1}{x-y}\)< \((y-x)\).....\(\frac{1}{x-y}\)- \((y-x)<0\)....\(\frac{1+(x-y)^2}{x-y}<0\)
The numerator is always positive, so basically question becomes .." Is x-y<0?" or Is x<y?
1) \(x>0\)...x=2, y=1, Ans is NO, but X=2 and y=3, the answer will be yes..
2) \(y<0\)...x=2, y=-1, answer is NO, but x=-3 and y=-1, the answer will be yes..
Combined x>0 and y<0.....so y<0<x, that is x>y
sufficient
_________________

1) Absolute modulus : http://gmatclub.com/forum/absolute-modulus-a-better-understanding-210849.html#p1622372
2)Combination of similar and dissimilar things : http://gmatclub.com/forum/topic215915.html
3) effects of arithmetic operations : https://gmatclub.com/forum/effects-of-arithmetic-operations-on-fractions-269413.html
4) Base while finding % increase and % decrease : https://gmatclub.com/forum/percentage-increase-decrease-what-should-be-the-denominator-287528.html


GMAT Expert

Director
Director
User avatar
P
Joined: 23 Feb 2015
Posts: 756
GMAT 1: 720 Q49 V40
GMAT ToolKit User Premium Member
Re: Is 1/x-y<y-x?  [#permalink]

Show Tags

New post 07 Mar 2019, 22:23
chetan2u wrote:
Is \(\frac{1}{x-y}\)< \((y-x)\)?
1) \(x>0\)...x=2, y=1, Ans is NO, but X=2 and y=-1, the answer will be yes..

Hi chetan2u,
If x=2, and y=-1
\(\frac{1}{2-(-1)}\)<\((-1-2)\)?
\(\frac{1}{2+1}\)<\(-3\)?
\(\frac{1}{3}\)<\(-3\)?
Is it possible in real life?
Did you miss anything or am I?
Thanks__
_________________

“The heights by great men reached and kept were not attained in sudden flight but, they while their companions slept, they were toiling upwards in the night.”
― Henry Wadsworth Longfellow

Math Expert
User avatar
V
Joined: 02 Aug 2009
Posts: 7415
Re: Is 1/x-y<y-x?  [#permalink]

Show Tags

New post 07 Mar 2019, 23:09
AsadAbu wrote:
chetan2u wrote:
Is \(\frac{1}{x-y}\)< \((y-x)\)?
1) \(x>0\)...x=2, y=1, Ans is NO, but X=2 and y=-1, the answer will be yes..

Hi chetan2u,
If x=2, and y=-1
\(\frac{1}{2-(-1)}\)<\((-1-2)\)?
\(\frac{1}{2+1}\)<\(-3\)?
\(\frac{1}{3}\)<\(-3\)?
Is it possible in real life?
Did you miss anything or am I?
Thanks__


It was a typo .. was meant to be 3 and not -1.. Thanks
_________________

1) Absolute modulus : http://gmatclub.com/forum/absolute-modulus-a-better-understanding-210849.html#p1622372
2)Combination of similar and dissimilar things : http://gmatclub.com/forum/topic215915.html
3) effects of arithmetic operations : https://gmatclub.com/forum/effects-of-arithmetic-operations-on-fractions-269413.html
4) Base while finding % increase and % decrease : https://gmatclub.com/forum/percentage-increase-decrease-what-should-be-the-denominator-287528.html


GMAT Expert

GMAT Club Bot
Re: Is 1/x-y<y-x?   [#permalink] 07 Mar 2019, 23:09
Display posts from previous: Sort by

Is 1/x-y<y-x?

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


Copyright

GMAT Club MBA Forum Home| About| Terms and Conditions and Privacy Policy| GMAT Club Rules| Contact| Sitemap

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

Kindly note that the GMAT® test is a registered trademark of the Graduate Management Admission Council®, and this site has neither been reviewed nor endorsed by GMAC®.