Find all School-related info fast with the new School-Specific MBA Forum
Learn more about the recent changes... close

It is currently 19 Jun 2013, 19:52
Customize  |  Hide

Search
Register
New posts
Unanswered

If b is an integer, is sq(a^2+b^2) an integer? (1) a2 + b2

  Question banks Downloads My Bookmarks Reviews  
  Oldest Best Reply
Search for:
 
Print view
First unread post
Author Message
TAGS:
Manager
Manager
Joined: 10 Feb 2011
Posts: 120
Followers: 1

Kudos [?]: 7 [0], given: 10

If b is an integer, is sq(a^2+b^2) an integer? (1) a2 + b2 [#permalink] New post 26 Feb 2011, 16:45
00:00

Question Stats:

100% (01:42) correct 0% (00:00) wrong based on 6 sessions
If b is an integer, is sq(a^2+b^2) an integer?

(1) a2 + b2 is an integer.
(2) a^2 – 3b^2 = 0
[Reveal] Spoiler: OA
1 KUDOS received
GMAT Club team member
User avatar
Joined: 02 Sep 2009
Posts: 12116
Followers: 1879

Kudos [?]: 10131 [1] , given: 965

GMAT Tests User CAT Tests
Top Member of the Month
Re: . If b is an integer, is sq(a^2+b^2) an integer? (1) a2 + b [#permalink] New post 26 Feb 2011, 16:55
1
This post received
KUDOS
banksy wrote:
If b is an integer, is sq(a^2+b^2) an integer?
(1) a2 + b2 is an integer.
(2) a^2 – 3b^2 = 0


If b is an integer, is sqrt(a^2+b^2) an integer?

(1) a^2 + b^2 is an integer. Clearly insufficient: if a^2 + b^2 is a perfect square, say 4, then the answer is YES but if a^2 + b^2 is NOT a perfect square, say 5, then the answer is NO. Not sufficient.

(2) a^2 – 3b^2 = 0 --> a^2=3b^2 --> \sqrt{a^2+b^2}=\sqrt{3b^2+b^2}=\sqrt{4b^2}=2|b|=integer. Sufficient.

Answer: B.
_________________

NEW TO MATH FORUM? PLEASE READ THIS: ALL YOU NEED FOR QUANT!!!

PLEASE READ AND FOLLOW: 11 Rules for Posting!!!

RESOURCES: [GMAT MATH BOOK]; 1. Triangles; 2. Polygons; 3. Coordinate Geometry; 4. Factorials; 5. Circles; 6. Number Theory; 7. Remainders; 8. Overlapping Sets; 9. PDF of Math Book; 10. Remainders

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. NEW!!! ,11 Mixed Questions NEW!!!, 12 Fresh Meat NEW!!!

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. NEW!!!, 11 New DS set. NEW!!!


What are GMAT Club Tests?
25 extra-hard Quant Tests

Find out what's new at GMAT Club - latest features and updates

Re: . If b is an integer, is sq(a^2+b^2) an integer? (1) a2 + b   [#permalink] 26 Feb 2011, 16:55
    Similar topics Author Replies Last post
Similar
Topics:
 New posts If b is an integer, is sqr root (a^2 + b^2) an integer? 1) john2005 7 15 Apr 2006, 20:18
New posts IF a and b are positive integers, is < 1? 1) b = 2a. 2) b yezz 5 12 Oct 2006, 16:45
Popular new posts If a and b are positive integers (a > b), is a^2 b^2 bmwhype2 11 21 Nov 2007, 03:37
New posts If a and b are positive integers (a > b), is a^2 - b^2 study 1 06 Nov 2008, 04:44
New posts If a and b are positive integers (a > b), is a^2 - b^2 study 4 07 Nov 2008, 07:36
Display posts from previous: Sort by

If b is an integer, is sq(a^2+b^2) an integer? (1) a2 + b2

  Question banks Downloads My Bookmarks Reviews  
Print view
First unread post

Moderators: VeritasPrepKarishma, Bunuel, IanStewart

Search for:


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

Powered by phpBB © phpBB Group and phpBB SEO

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®.

Main navigation

GMAT Resources

Partners

MBA Resources

www.gmac.com|www.mba.com