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

It is currently 19 Sep 2018, 22:41

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

For all integers and b, where a is a ≠ b[/m], a £ b = |(a^2 - b^2)/(a

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

Hide Tags

Math Expert
User avatar
V
Joined: 02 Sep 2009
Posts: 49258
For all integers and b, where a is a ≠ b[/m], a £ b = |(a^2 - b^2)/(a  [#permalink]

Show Tags

New post 03 Jul 2018, 09:55
00:00
A
B
C
D
E

Difficulty:

  15% (low)

Question Stats:

100% (00:32) correct 0% (00:00) wrong based on 19 sessions

HideShow timer Statistics

Math Expert
User avatar
V
Joined: 02 Aug 2009
Posts: 6789
Re: For all integers and b, where a is a ≠ b[/m], a £ b = |(a^2 - b^2)/(a  [#permalink]

Show Tags

New post 03 Jul 2018, 11:35
Bunuel wrote:
For all integers and b, where a is \(a \neq b\), \(a £ b = |\frac{(a^2 - b^2)}{(a - b)}|\). What is the value of \(4 £ 2\)?


A. 2

B. 4

C. 6

D. 8

E. 10



\(a £ b = |\frac{(a^2 - b^2)}{(a - b)}|=|\frac{(a-b)(a+b)}{a-b}|=|a+b|\)
so \(4 £ 2 = |4+2|=6\)

C
_________________

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


GMAT online Tutor

Director
Director
User avatar
G
Joined: 31 Oct 2013
Posts: 571
Concentration: Accounting, Finance
GPA: 3.68
WE: Analyst (Accounting)
Re: For all integers and b, where a is a ≠ b[/m], a £ b = |(a^2 - b^2)/(a  [#permalink]

Show Tags

New post 03 Jul 2018, 14:57
1
Bunuel wrote:
For all integers and b, where a is \(a \neq b\), \(a £ b = |\frac{(a^2 - b^2)}{(a - b)}|\). What is the value of \(4 £ 2\)?


A. 2

B. 4

C. 6

D. 8

E. 10



This question is all about pattern. At first we need to analyse or break down the given pattern in order to reach our ultimate answer. Computations can be performed as follows:

\(a £ b = |\frac{(a^2 - b^2)}{(a - b)}|\)

a £ b = |\(\frac{( a+b) ( a - b)}{(a-b)}\)|

a £ b = |a + b |

we are asked to determine the value of 4 £ 2.

4 £ 2 = |4+2|
= 6

Thus the best answer is C.
Re: For all integers and b, where a is a ≠ b[/m], a £ b = |(a^2 - b^2)/(a &nbs [#permalink] 03 Jul 2018, 14:57
Display posts from previous: Sort by

For all integers and b, where a is a ≠ b[/m], a £ b = |(a^2 - b^2)/(a

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

Events & Promotions

PREV
NEXT


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®.