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, 17:00
Customize  |  Hide

Search
Register
New posts
Unanswered

If w>x>y>z>0, is z>4?

  Question banks Downloads My Bookmarks Reviews  
  Oldest Best Reply
Search for:
 
Print view
First unread post
Author Message
TAGS:
Manager
Manager
Joined: 12 Oct 2011
Posts: 136
GMAT 1: 700 Q48 V37
GMAT 2: 720 Q48 V40
Followers: 2

Kudos [?]: 37 [0], given: 23

If w>x>y>z>0, is z>4? [#permalink] New post 01 Apr 2012, 03:47
00:00

Question Stats:

27% (01:58) correct 72% (01:43) wrong based on 47 sessions
If w>x>y>z>0, is z<4?

(1) 1/w +1/x +1/y +1/z = 1.

(2) 1/w > 1/4.

Image

from gmatquantproblems
[Reveal] Spoiler: OA
Kaplan GMAT Prep Discount CodesKnewton GMAT Discount CodesVeritas Prep GMAT Discount Codes
1 KUDOS received
GMAT Club team member
User avatar
Joined: 02 Sep 2009
Posts: 12116
Followers: 1879

Kudos [?]: 10130 [1] , given: 965

GMAT Tests User CAT Tests
Top Member of the Month
Re: If w>x>y>z>0 is z<4? [#permalink] New post 01 Apr 2012, 04:06
1
This post received
KUDOS
BN1989 wrote:
Image

from gmatquantproblems


If w>x>y>z>0, is z<4?

We can rewrite given inequality as: \frac{1}{z}>\frac{1}{y}>\frac{1}{x}>\frac{1}{w} and the question becomes whether \frac{1}{z}>\frac{1}{4}?

(1) 1/w +1/x +1/y +1/z = 1. Now, if \frac{1}{z}\leq{\frac{1}{4}} then all other three fractions will also be less than \frac{1}{4} and their sum (the sum of four numbers each of which is less than 1/4) can not add up to 1, hence \frac{1}{z}>\frac{1}{4}. Sufficient.

(2) 1/w > 1/4. Since \frac{1}{z}>\frac{1}{w} then \frac{1}{z} is also more than \frac{1}{4}. Sufficient.

Answer: D.
_________________

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

GMAT Club team member
User avatar
Joined: 02 Sep 2009
Posts: 12116
Followers: 1879

Kudos [?]: 10130 [0], given: 965

GMAT Tests User CAT Tests
Top Member of the Month
Re: If w>x>y>z>0, is z>4? [#permalink] New post 28 May 2013, 05:29
Bumping for review and further discussion.
_________________

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 w>x>y>z>0, is z>4?   [#permalink] 28 May 2013, 05:29
    Similar topics Author Replies Last post
Similar
Topics:
 Popular new posts Is m+z>0 amansingla4 11 20 May 2006, 05:41
New posts if wxy<0, xyz>0, is z>0? (1) w<0 (2) x>0 Jamesk486 4 12 Jul 2008, 15:55
New posts 3 Experts publish their posts in the topic Is m + z > 0? CharmWithSubstance 8 27 Apr 2010, 14:41
New posts 1 If W>X>Y>Z>0, is Z>4 1) 1/W +1/X +1/Y +1/Z = dreambeliever 7 20 Mar 2011, 14:14
New posts 5 Experts publish their posts in the topic w, x, y, and z are integers. If w >x>y>z>0, is y a common enigma123 5 26 Jan 2012, 22:19
Display posts from previous: Sort by

If w>x>y>z>0, is z>4?

  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