It is currently 23 Jun 2017, 15:56

### 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

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

# Events & Promotions

###### Events & Promotions in June
Open Detailed Calendar

# GRE Weekly Challenge #3

Author Message
Senior Manager
Joined: 25 Jul 2011
Posts: 298
Location: India
Concentration: Strategy, General Management
GMAT 1: 730 Q50 V40
GPA: 3
WE: Operations (Non-Profit and Government)

### Show Tags

14 Sep 2011, 21:57
1
KUDOS
GMAT Club invites you to test your GRE knowledge for a chance to win! Each week, we will post a new Challenge Problem for you to attempt. If you submit the correct answer, you will be entered into that week’s drawing for a free Manhattan GRE Strategy guide. What are you waiting for? Get out their scrap paper and start solving! Click here to view contest & prize details

This week's question:

 A B |x – 5| – |a – b| |b – a| – |5 – x|

Compare Quantity A and Quantity B using the information given above, and select one of the following answer choices:
A) Quantity A is greater.
B) Quantity B is greater.
C) The two quantities are equal.
D) The relationship cannot be determined from the information given.

Edit: This challenge is now closed

The winner of this Week's Challenge is... (drum roll).... m2l2. Congratulations! Please send me a pm with your shipping address, and choice of Manhattan GRE Guide

Details of next week's competition will be posted in the Weekly Challenge Master thread... Stay tuned!
_________________
VP
Joined: 24 Jul 2011
Posts: 1250
GMAT 1: 780 Q51 V48
GRE 1: 1540 Q800 V740
Re: GRE Weekly Challenge #3 [#permalink]

### Show Tags

14 Sep 2011, 23:13
Should be (B)
_________________

GyanOne | Top MBA Rankings and MBA Admissions Blog

Premium MBA Essay Review|Best MBA Interview Preparation|Exclusive GMAT coaching

Get a FREE Detailed MBA Profile Evaluation | Call us now +91 98998 31738

Last edited by GyanOne on 17 Sep 2011, 07:17, edited 1 time in total.
Intern
Joined: 15 Nov 2009
Posts: 31
Location: Moscow, Russia
Re: GRE Weekly Challenge #3 [#permalink]

### Show Tags

15 Sep 2011, 08:45
Answer B. The difference between B-A= 2|b-a| -2|x-5|>,0 since |b-a|>5 and |x-5|<5.
In details, b>5, a<0, b-a>5; x<10; x-5<5.
Intern
Joined: 12 Feb 2011
Posts: 2
Re: GRE Weekly Challenge #3 [#permalink]

### Show Tags

15 Sep 2011, 11:45
Answer B - Quantity B is greater.‎
‎|x – 5|=|5 – x|;‎
‎|a – b|=|b – a|;‎
As 5<x<10, then 0<|x – 5|<5 and 0<|5 – x|<5;‎
As a<0, b>0, then |a – b|=|b – a|=|a|+|b|;‎
‎|a|>0 and 5<|b|<10, then (|a|+|b|)>5;‎
Therefore, |x – 5| < |a – b|, (|x – 5| – |a – b|) < 0 and ‎
‎(|b – a| – |5 – x|) > 0, which means that‎
‎(|x – 5| – |a – b|) < (|b – a| – |5 – x|) for all a, b, x.‎
Intern
Status: single
Joined: 13 May 2011
Posts: 19
Location: India
Concentration: Entrepreneurship, Strategy
GPA: 3
WE: Manufacturing and Production (Other)
Re: GRE Weekly Challenge #3 [#permalink]

### Show Tags

15 Sep 2011, 13:13
Quantity B is greater.
A=|x-5|-|a-b|
= (x-5)-(-(a-b)

since x>5, so the mod will always open positive.
since a<b, |a-b| will always open negetive.

so A= x-5+a-b ............(i)

B=|b-a|-|5-x|
= (b-a)-(-(5-x)
same logic as above.

so B= b-a+5-x ...............(ii)

so A= -(B) ............... from (i) and (ii)
now,
numerical value of b-a is greater than 5 since 0 and 5 lies between a and b.
numerical value of 5-x is less than 5 since x lies between 5 and 10.
so, B is a positive quantity or A is a negetive quantity.

therefore, B>A
Manager
Joined: 24 Nov 2010
Posts: 211
Location: United States (CA)
Concentration: Technology, Entrepreneurship
Schools: Ross '15, Duke '15
Re: GRE Weekly Challenge #3 [#permalink]

### Show Tags

15 Sep 2011, 19:53
Ans B

Let |x-5| = |5-x| = c --> 0<c<5
Let |a - b| = |b - a| = d --> 5<d<infinity

A = |x – 5| – |a – b| = (0<c<5) - (5<d<infinity) = -ve
B = |b – a| – |5 – x| = (5<d<infinity) - (0<c<5) = +ve

therefore B is greater
Intern
Joined: 23 Aug 2011
Posts: 7
Re: GRE Weekly Challenge #3 [#permalink]

### Show Tags

15 Sep 2011, 21:55
Ans: D

The intervals is not equal so we can not determine !!
Joined: 31 Dec 1969
Location: Russian Federation
GMAT 3: 740 Q40 V50
GMAT 4: 700 Q48 V38
GMAT 5: 710 Q45 V41
GMAT 6: 680 Q47 V36
GMAT 9: 740 Q49 V42
GMAT 11: 500 Q47 V33
GMAT 14: 760 Q49 V44
WE: Supply Chain Management (Energy and Utilities)
Re: GRE Weekly Challenge #3 [#permalink]

### Show Tags

16 Sep 2011, 05:23
The correct answer is: B)Quantity B is greater.

Quantity A:

0 < |x-5| < 5

|a-b| > b ==> |a-b| > 5

==>
|x – 5| – |a – b| = (0 < |x-5| < 5) - (|a-b| > 5) <=== This expression is clearly smaller than 0

Quantity B:

|b – a| = b+|a| > 5

|5 – x| < 5 (since 5 < x < 10 )

==>
|b – a| – |5 – x| = ( b+|a| > 5) - (|5 – x| < 5) <=== This expression is clearly greater than 0

So quantity B is greater than quantity A.
Intern
Joined: 19 Jun 2011
Posts: 3
Re: GRE Weekly Challenge #3 [#permalink]

### Show Tags

16 Sep 2011, 10:49
Quantity B

|5-x|-->X varies from 5 to 10 therefore |5-x| varies from 0 to 5
|b-a|--> B varies from 5 to 10 and is greater then X ..and A is less than 0.Therefore |b-a| is either greater then 10 or greater than 5.Which means greater than 5 covers the entire range.
Hence ,|b-a|-|5-x| is always positive...(1)

Quantity A
Since x > 0 , |x-5| is the same range as |5-x| varying from 0 to 5
|a-b| again as |b-a| varies from 5 to 10
Hence . |b-a|-|5-x| is < 0 ....(2)

Therefore Clearly , Quantity B is greater then Quantity A.
Intern
Joined: 18 Sep 2011
Posts: 5
Re: GRE Weekly Challenge #3 [#permalink]

### Show Tags

22 Sep 2011, 22:45
Re: GRE Weekly Challenge #3   [#permalink] 22 Sep 2011, 22:45
Similar topics Replies Last post
Similar
Topics:
GRE Weekly Challenge #5 7 04 Oct 2011, 14:30
GRE Weekly Challenge #4 6 09 Feb 2012, 10:52
1 GRE Weekly Challenge #2 7 04 Sep 2011, 06:52
2 GRE Weekly Challenge #1 14 26 Aug 2011, 05:13
1 GRE Weekly Challenge Showdown 13 22 Nov 2011, 21:36
Display posts from previous: Sort by

# GRE Weekly Challenge #3

 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®.