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

It is currently 22 Oct 2018, 19:01

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 2^x+2^y=x^2+y^2 where x and y are non-negative integers,it

  new topic post reply Question banks Downloads My Bookmarks Reviews Important topics  
Author Message
Intern
Intern
avatar
Joined: 02 Apr 2018
Posts: 2
If 2^x+2^y=x^2+y^2 where x and y are non-negative integers,it  [#permalink]

Show Tags

New post 15 Apr 2018, 11:07
00:00
A
B
C
D
E

Difficulty:

(N/A)

Question Stats:

100% (01:19) correct 0% (00:00) wrong based on 13 sessions

HideShow timer Statistics

If \(2^x\)+\(2^y\)=\(x^2\)+\(y^2\) where x and y are non-negative integers, what is the greatest possible value of |x−y|?

a. 0
b. 1
c. 2
d. 3
e. 4
How to solve that question

Posted from my mobile device
Manager
Manager
User avatar
G
Status: Enjoying the Journey
Affiliations: ND
Joined: 26 Sep 2017
Posts: 114
Schools: Rotman '21
WE: Marketing (Consulting)
Re: If 2^x+2^y=x^2+y^2 where x and y are non-negative integers,it  [#permalink]

Show Tags

New post 23 Apr 2018, 04:28
abdelazizlila wrote:
If \(2^x\)+\(2^y\)=\(x^2\)+\(y^2\) where x and y are non-negative integers, what is the greatest possible value of |x−y|?

a. 0
b. 1
c. 2
d. 3
e. 4
How to solve that question

Posted from my mobile device


I couldn't find algebraic solution.

I picked numbers to match the answer choices

if the difference is "0" then x=y, try substituting x&y with "2" didn't work out
if the difference is "1" then x is more than y by one, try substituting x&y with "2&3" didn't work out
if the difference is "2" then x is more than y by two, try substituting x&y with "2&4" matched the given equation

Correct answer is C

However, I believe there should be a faster solution
_________________

"it takes more time to fix a mistake than to avoid one"
"Giving kudos" is a decent way to say "Thanks" and motivate contributors. Please use them, it won't cost you anything

High achievement always takes place in the framework of high expectation Charles Kettering
If we chase perfection we can catch excellence Vince Lombardi

GMAT Club Live: 5 Principles for Fast Math: https://gmatclub.com/forum/gmat-club-live-5-principles-for-fast-math-251028.html#p1940045
YouTube sessions by GMATNinja: https://gmatclub.com/forum/verbal-live-with-gmat-ninja-sc-pronouns-that-parallelism-250568.html#p1936104
The Best SC strategies - Amazing 4 videos by Veritas: https://gmatclub.com/forum/the-best-sc-strategies-amazing-4-videos-by-veritas-250377.html#p1934575

Math Expert
User avatar
V
Joined: 02 Sep 2009
Posts: 50042
Re: If 2^x+2^y=x^2+y^2 where x and y are non-negative integers,it  [#permalink]

Show Tags

New post 23 Apr 2018, 05:28
1
abdelazizlila wrote:
If \(2^x\)+\(2^y\)=\(x^2\)+\(y^2\) where x and y are non-negative integers, what is the greatest possible value of |x−y|?

a. 0
b. 1
c. 2
d. 3
e. 4
How to solve that question

Posted from my mobile device


Discussed here: https://gmatclub.com/forum/if-2-x-2-y-x ... 88016.html
_________________

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

GMAT Club Bot
Re: If 2^x+2^y=x^2+y^2 where x and y are non-negative integers,it &nbs [#permalink] 23 Apr 2018, 05:28
Display posts from previous: Sort by

If 2^x+2^y=x^2+y^2 where x and y are non-negative integers,it

  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®.