It is currently 11 Dec 2017, 04:41

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

Events & Promotions

Events & Promotions in June
Open Detailed Calendar

R = 1 + 2xy + x^2y^2, what is the value of xy?

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

Hide Tags

1 KUDOS received
Intern
Intern
avatar
Joined: 25 Sep 2010
Posts: 18

Kudos [?]: 47 [1], given: 7

R = 1 + 2xy + x^2y^2, what is the value of xy? [#permalink]

Show Tags

New post 14 Oct 2010, 20:56
1
This post received
KUDOS
7
This post was
BOOKMARKED
00:00
A
B
C
D
E

Difficulty:

  35% (medium)

Question Stats:

65% (00:50) correct 35% (01:19) wrong based on 430 sessions

HideShow timer Statistics

\(R = 1 + 2*x*y + x^2*y^2\), what is the value of \(x*y\)?

(1) R = 0
(2) x > 0
[Reveal] Spoiler: OA

Last edited by ENGRTOMBA2018 on 03 Sep 2015, 07:37, edited 3 times in total.
Formatted the question.

Kudos [?]: 47 [1], given: 7

Retired Moderator
User avatar
Status: The last round
Joined: 18 Jun 2009
Posts: 1282

Kudos [?]: 1245 [0], given: 157

Concentration: Strategy, General Management
GMAT 1: 680 Q48 V34
GMAT ToolKit User
Re: R = 1 + 2xy + x^2y^2, what is the value of xy? [#permalink]

Show Tags

New post 15 Oct 2010, 02:20
satishreddy wrote:
R=1+2xy+x^y^, what is the value of xy

1) R=0
2) x>0

OA : A


I think the question you posted is incomplete.

what does y^ mean?? There will be some digit aftger y^.
_________________

[ From 470 to 680-My Story ] [ My Last Month Before Test ]
[ GMAT Prep Analysis Tool ] [ US. Business School Dashboard ] [ Int. Business School Dashboard ]

I Can, I Will

GMAT Club Premium Membership - big benefits and savings

Kudos [?]: 1245 [0], given: 157

Expert Post
3 KUDOS received
Math Expert
User avatar
V
Joined: 02 Sep 2009
Posts: 42539

Kudos [?]: 135204 [3], given: 12673

Re: R = 1 + 2xy + x^2y^2, what is the value of xy? [#permalink]

Show Tags

New post 15 Oct 2010, 03:30
3
This post received
KUDOS
Expert's post
5
This post was
BOOKMARKED
satishreddy wrote:
R=1+2xy+x^2*y^2, what is the value of xy

1) R=0
2) x>0

OA : A


Question should be:


R=1+2xy+x^2*y^2, what is the value of xy?

(1) R=0 --> \(1+2xy+x^2*y^2=0\) --> \((xy+1)^2=0\) --> \(xy=-1\). Sufficient.
(2) x>0 --> Clearly insufficient.

Answer: A.


!
Please post PS questions in the PS subforum: gmat-problem-solving-ps-140/
Please post DS questions in the DS subforum: gmat-data-sufficiency-ds-141/

_________________

New to the Math Forum?
Please read this: Ultimate GMAT Quantitative Megathread | All You Need for Quant | PLEASE READ AND FOLLOW: 12 Rules for Posting!!!

Resources:
GMAT Math Book | Triangles | Polygons | Coordinate Geometry | Factorials | Circles | Number Theory | Remainders; 8. Overlapping Sets | PDF of Math Book; 10. Remainders | GMAT Prep Software Analysis | SEVEN SAMURAI OF 2012 (BEST DISCUSSIONS) | Tricky questions from previous years.

Collection of Questions:
PS: 1. Tough and Tricky questions; 2. Hard questions; 3. Hard questions part 2; 4. Standard deviation; 5. Tough Problem Solving Questions With Solutions; 6. Probability and Combinations Questions With Solutions; 7 Tough and tricky exponents and roots questions; 8 12 Easy Pieces (or not?); 9 Bakers' Dozen; 10 Algebra set. ,11 Mixed Questions, 12 Fresh Meat

DS: 1. DS tough questions; 2. DS tough questions part 2; 3. DS tough questions part 3; 4. DS Standard deviation; 5. Inequalities; 6. 700+ GMAT Data Sufficiency Questions With Explanations; 7 Tough and tricky exponents and roots questions; 8 The Discreet Charm of the DS; 9 Devil's Dozen!!!; 10 Number Properties set., 11 New DS set.


What are GMAT Club Tests?
Extra-hard Quant Tests with Brilliant Analytics

Kudos [?]: 135204 [3], given: 12673

Manager
Manager
avatar
Joined: 20 Apr 2010
Posts: 209

Kudos [?]: 90 [0], given: 28

Schools: ISB, HEC, Said
Re: R = 1 + 2xy + x^2y^2, what is the value of xy? [#permalink]

Show Tags

New post 18 Oct 2010, 00:39
Certainly a tricky one. Thanks for posting

Kudos [?]: 90 [0], given: 28

Non-Human User
User avatar
Joined: 09 Sep 2013
Posts: 14949

Kudos [?]: 287 [0], given: 0

Premium Member
Re: R = 1 + 2xy + x^2y^2, what is the value of xy? [#permalink]

Show Tags

New post 05 Mar 2015, 01:09
Hello from the GMAT Club BumpBot!

Thanks to another GMAT Club member, I have just discovered this valuable topic, yet it had no discussion for over a year. I am now bumping it up - doing my job. I think you may find it valuable (esp those replies with Kudos).

Want to see all other topics I dig out? Follow me (click follow button on profile). You will receive a summary of all topics I bump in your profile area as well as via email.
_________________

GMAT Books | GMAT Club Tests | Best Prices on GMAT Courses | GMAT Mobile App | Math Resources | Verbal Resources

Kudos [?]: 287 [0], given: 0

Intern
Intern
avatar
Joined: 02 Sep 2015
Posts: 3

Kudos [?]: 2 [0], given: 3

Re: R = 1 + 2xy + x^2y^2, what is the value of xy? [#permalink]

Show Tags

New post 03 Sep 2015, 07:29
x^2y^2

I thought x^((2y)^2) :| so I answered E

I think it should be written specifically: x^2*y^2

Kudos [?]: 2 [0], given: 3

1 KUDOS received
Current Student
avatar
B
Joined: 20 Mar 2014
Posts: 2671

Kudos [?]: 1787 [1], given: 796

Concentration: Finance, Strategy
Schools: Kellogg '18 (M)
GMAT 1: 750 Q49 V44
GPA: 3.7
WE: Engineering (Aerospace and Defense)
GMAT ToolKit User Premium Member Reviews Badge
Re: R = 1 + 2xy + x^2y^2, what is the value of xy? [#permalink]

Show Tags

New post 03 Sep 2015, 07:38
1
This post received
KUDOS
trung0808 wrote:
x^2y^2

I thought x^((2y)^2) :| so I answered E

I think it should be written specifically: x^2*y^2


Thank you for raising this issue. I have formatted the question.

Kudos [?]: 1787 [1], given: 796

Expert Post
Math Revolution GMAT Instructor
User avatar
P
Joined: 16 Aug 2015
Posts: 4457

Kudos [?]: 3131 [0], given: 0

GPA: 3.82
Premium Member
R = 1 + 2xy + x^2y^2, what is the value of xy? [#permalink]

Show Tags

New post 04 Sep 2015, 04:37
Forget conventional ways of solving math questions. In DS, Variable approach is

the easiest and quickest way to find the answer without actually solving the

problem. Remember equal number of variables and equations ensures a solution.



R=1+2xy+(xy)^2, what is the value of x∗y ?

(1) R = 0
(2) x > 0

==> transforming the original condition and the question by variable approach method, we have, R=(1+xy)^2, 1+xy=R, -R, then xy=R-1, xy=-R-1. if we know R we can find xy
In case of 1), if R=0 then xy=-1, a unique answer. Therefore it is sufficient. Thus A is the answer.
_________________

MathRevolution: Finish GMAT Quant Section with 10 minutes to spare
The one-and-only World’s First Variable Approach for DS and IVY Approach for PS with ease, speed and accuracy.
Find a 10% off coupon code for GMAT Club members.
“Receive 5 Math Questions & Solutions Daily”
Unlimited Access to over 120 free video lessons - try it yourself
See our Youtube demo

Kudos [?]: 3131 [0], given: 0

Current Student
avatar
B
Joined: 20 Mar 2014
Posts: 2671

Kudos [?]: 1787 [0], given: 796

Concentration: Finance, Strategy
Schools: Kellogg '18 (M)
GMAT 1: 750 Q49 V44
GPA: 3.7
WE: Engineering (Aerospace and Defense)
GMAT ToolKit User Premium Member Reviews Badge
Re: R = 1 + 2xy + x^2y^2, what is the value of xy? [#permalink]

Show Tags

New post 04 Sep 2015, 04:58
MathRevolution wrote:
Forget conventional ways of solving math questions. In DS, Variable approach is

the easiest and quickest way to find the answer without actually solving the

problem. Remember equal number of variables and equations ensures a solution.



R=1+2xy+(xy)^2, what is the value of x∗y ?

(1) R = 0
(2) x > 0

==> transforming the original condition and the question by variable approach method, we have, R=(1+xy)^2, 1+xy=R, -R, then xy=R-1, xy=-R-1. if we know R we can find xy
In case of 1), if R=0 then xy=-1, a unique answer. Therefore it is sufficient. Thus A is the answer.



If you know our own innovative logics to find the answer, you don’t need to

actually solve the problem.
http://www.mathrevolution.com
- The one-and-only World’s First Variable Approach for DS and IVY Approach

for PS that allow anyone to easily solve GMAT math questions.

- The easy-to-use solutions. Math skills are totally irrelevant. Forget

conventional ways of solving math questions.

- The most effective time management for GMAT math to date allowing you to

solve 37 questions with 10 minutes to spare

- Hitting a score of 45 is very easy and points and 49-51 is also doable.

- We're offering 20% additional discounts to GMAT club members for "PS+DS" and

"All-In-One". When purchasing,please insert "TOPMATH2" as your coupon code.

- Unlimited Access to over 120 free video lessons at

http://www.mathrevolution.com/gmat/lesson

- Our advertising video at https://www.youtube.com/watch?v=R_Fki3_2vO8



Your actual solution is very difficult to find in the quoted post and your advertisement. Can you please reduce the size of your advertisement text? or better put it in your signatures. This way your posts will be useful for people in this forum.

Also, put the quoted post in proper formatting, so that your actual post is clearly visible.

Thanks

Kudos [?]: 1787 [0], given: 796

Intern
Intern
User avatar
Joined: 24 Jan 2016
Posts: 18

Kudos [?]: 2 [0], given: 0

Re: R = 1 + 2xy + x^2y^2, what is the value of xy? [#permalink]

Show Tags

New post 10 Nov 2016, 13:05
Answer:A
R=1+2xy+x^2*y^2, what is the value of x∗y ?
(1) R = 0
(2) x > 0
R=1+2xy+x^2*y^2=(1+xy)^2
1- R=0 ⇒ 1+xy=0 ⇒ xy=-1 -- SUFFICIENT
2- x>0 -- Irrelevant

Kudos [?]: 2 [0], given: 0

Director
Director
User avatar
G
Joined: 26 Oct 2016
Posts: 690

Kudos [?]: 251 [0], given: 855

Location: United States
Concentration: Marketing, International Business
Schools: HBS '19
GMAT 1: 770 Q51 V44
GPA: 4
WE: Education (Education)
Re: R = 1 + 2xy + x^2y^2, what is the value of xy? [#permalink]

Show Tags

New post 28 Jan 2017, 14:07
The answer is indeed A

R=1+2xy+x^2y^2 => (1+xy)^2

Statement I

R=0, therefore (1+xy)^2=0
xy=-1

Statement II
x>0

It does not gives us any specific value of x or y or R

Not Sufficient.


Hence A.
_________________

Thanks & Regards,
Anaira Mitch

Kudos [?]: 251 [0], given: 855

Re: R = 1 + 2xy + x^2y^2, what is the value of xy?   [#permalink] 28 Jan 2017, 14:07
Display posts from previous: Sort by

R = 1 + 2xy + x^2y^2, what is the value of xy?

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


GMAT Club MBA Forum Home| About| Terms and Conditions| 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®.