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

It is currently 24 Mar 2019, 00:13

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

What is the value of y, if both x and y are integers and xy<0?

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

Hide Tags

 
Math Expert
User avatar
V
Joined: 02 Aug 2009
Posts: 7437
What is the value of y, if both x and y are integers and xy<0?  [#permalink]

Show Tags

New post 05 Dec 2018, 04:55
1
2
00:00
A
B
C
D
E

Difficulty:

  85% (hard)

Question Stats:

46% (02:04) correct 54% (01:55) wrong based on 116 sessions

HideShow timer Statistics

What is the value of y, if both x and y are integers and xy<0?
(1) \(\frac{2^x}{2^y}=4\)
(2) \(x+y=0\)




New question!!!..
tricky

_________________

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

Manager
Manager
avatar
G
Joined: 23 Aug 2016
Posts: 108
Location: India
Concentration: Finance, Strategy
GMAT 1: 660 Q49 V31
GPA: 2.84
WE: Other (Energy and Utilities)
Reviews Badge
Re: What is the value of y, if both x and y are integers and xy<0?  [#permalink]

Show Tags

New post 05 Dec 2018, 05:02
A.
1. Says that x-y=2
As we know both x and y are integers and one is positive and one is negative i.e none of them is zero, we can safety find value of x and y which satisfies the equation x-y=2
There is only one set of points that are at a distance of 2 units of each other and have different signs i.e. 1 and -1.
Sufficient.

2. Not sufficient. X and y can be (2,-2),(3,-3) etc.

Posted from my mobile device
_________________

Thanks and Regards,

Honneeey.

In former years,Used to run for "Likes", nowadays, craving for "Kudos". :D

Manager
Manager
avatar
B
Joined: 01 Nov 2018
Posts: 73
GMAT 1: 690 Q48 V35
GPA: 3.88
Reviews Badge CAT Tests
Re: What is the value of y, if both x and y are integers and xy<0?  [#permalink]

Show Tags

New post 05 Dec 2018, 05:26
Took me 7:30min to get A.... Had to realize from Statement 1, you get x-y=2 and the only way for XY to be negative is for Y to be negative. The only values that work to satisfy this conditions are 1 and -1 respectively for X and Y. Any tips on how to realize this much faster? I knew 2 was insufficient but on the actual exam, a question like this would destroy my timing as I would never spend more than 3/3:30 tops for a single question.
Intern
Intern
avatar
B
Joined: 05 Nov 2018
Posts: 7
CAT Tests
What is the value of y, if both x and y are integers and xy<0?  [#permalink]

Show Tags

New post 05 Dec 2018, 05:33
1
Statement 1

\(2^{x-y}\)= \(2^2\)

x-y=2

\(x\leq{-2}\) => \(xy\leq{0}\)
x=-1 y=-3 xy>0
x=0 y=-2 xy=0
x=1 y=-1 xy<0
\(x\geq{2}\) => \(xy\geq{0}\)

as xy<0 only x=1 and y=-1 fits.

Statement 1 Sufficient

Statement 2

x+y=0
x=-y

xy<0 for all non zero values

Not sufficient

Answer: A
Senior Manager
Senior Manager
User avatar
P
Joined: 04 Jun 2018
Posts: 434
Location: Germany
Concentration: General Management, Finance
GPA: 3.6
WE: Analyst (Transportation)
Premium Member Reviews Badge CAT Tests
Re: What is the value of y, if both x and y are integers and xy<0?  [#permalink]

Show Tags

New post 03 Jan 2019, 10:49
st1gg3r wrote:
Statement 1

\(2^{x-y}\)= \(2^2\)

x-y=2

\(x\leq{-2}\) => \(xy\leq{0}\)
x=-1 y=-3 xy>0
x=0 y=-2 xy=0
x=1 y=-1 xy<0
\(x\geq{2}\) => \(xy\geq{0}\)

as xy<0 only x=1 and y=-1 fits.

Statement 1 Sufficient

Statement 2

x+y=0
x=-y

xy<0 for all non zero values

Not sufficient

Answer: A


Thank you for the detailed explanation.
I was actually unable to spot the possibility to make use of exponent rules and transform the equation accordingly.
_________________

A couple of things that helped me in verbal:
https://gmatclub.com/forum/verbal-strategies-268700.html#p2082192

Gmat Prep CAT #1: V42, Q34, 630
Gmat Prep CAT #2: V46, Q35, 660
Gmat Prep CAT #3: V41, Q42, 680

On the mission to improve my quant score, all help is appreciated! :)

GMAT Club Bot
Re: What is the value of y, if both x and y are integers and xy<0?   [#permalink] 03 Jan 2019, 10:49
Display posts from previous: Sort by

What is the value of y, if both x and y are integers and xy<0?

  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®.