Find all School-related info fast with the new School-Specific MBA Forum

It is currently 19 Apr 2014, 20:04

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.

Events & Promotions

Events & Promotions in June
Open Detailed Calendar

If wz < 2, is z < 1?

  Question banks Downloads My Bookmarks Reviews Important topics  
Author Message
TAGS:
1 KUDOS received
Manager
Manager
Joined: 17 Aug 2009
Posts: 238
Followers: 4

Kudos [?]: 75 [1] , given: 25

GMAT Tests User
If wz < 2, is z < 1? [#permalink] New post 02 Jan 2010, 16:16
1
This post received
KUDOS
00:00
A
B
C
D
E

Difficulty:

  25% (low)

Question Stats:

78% (01:41) correct 21% (01:11) wrong based on 42 sessions
If wz < 2, is z < 1?

(1) w > 2
(2) z < 2
[Reveal] Spoiler: OA
Math Expert
User avatar
Joined: 02 Sep 2009
Posts: 17321
Followers: 2875

Kudos [?]: 18402 [0], given: 2350

GMAT Tests User CAT Tests
Re: Is z<1 [#permalink] New post 02 Jan 2010, 16:41
Expert's post
If wz < 2, is z < 1?

(1) w > 2. Subtract w > 2 from wz < 2 (we can do it as the signs are in opposite direction):

wz-w<2-2 --> w(z-1)<0, as w is positive (given w>2), then the product to be negative z-1 must be negative --> z-1<0 --> z<1. Sufficient.

(2) z < 2. If z=1.5>1 and w=0 (wz<2), then the answer is YES but if z=0<1 and w=0 (wz<0), then the answer is NO. Not sufficient.

Answer: A.
_________________

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; 11. GMAT Prep Software Analysis NEW!!!; 12. SEVEN SAMURAI OF 2012 (BEST DISCUSSIONS) NEW!!!; 12. Tricky questions from previous years. NEW!!!;

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?
25 extra-hard Quant Tests

Manager
Manager
Joined: 17 Aug 2009
Posts: 238
Followers: 4

Kudos [?]: 75 [0], given: 25

GMAT Tests User
Re: Is z<1 [#permalink] New post 02 Jan 2010, 16:46
Thanks Bunuel

Even i got A. However, the OA given in the GMAC paper test is D.

I guess the OA (like many others in the paper tests) is wrong
Math Expert
User avatar
Joined: 02 Sep 2009
Posts: 17321
Followers: 2875

Kudos [?]: 18402 [0], given: 2350

GMAT Tests User CAT Tests
Re: If wz < 2, is z < 1? [#permalink] New post 22 Feb 2014, 10:58
Expert's post
Intern
Intern
Joined: 14 Jul 2013
Posts: 9
Followers: 0

Kudos [?]: 5 [0], given: 26

Re: If wz < 2, is z < 1? [#permalink] New post 14 Apr 2014, 00:31
If wz < 2, is z < 1?

(1) w > 2
(2) z < 2

Sol.
opt.1 => w>2
i.e. z(something>2)<2
=> z<2/(something >2)
in the step above, R.H.S will always be <1. Hence Z<1

opt.2 => z<2
from this we can't say whether z will be less then 1.
Hence, A.
Re: If wz < 2, is z < 1?   [#permalink] 14 Apr 2014, 00:31
    Similar topics Author Replies Last post
Similar
Topics:
New posts two lines W,Z in xy plane, is the slope of W<=Z? 1)W marine 4 20 Sep 2004, 21:50
New posts If wz < 2, is z < 1? (1) w > 2 (2) z < 2 OA will nakib77 5 20 Sep 2005, 08:21
New posts Is z+z<z? 1) -4z>4z 2) z^3<z^2 netcaesar 5 18 Oct 2006, 12:26
New posts Is z + z < z? 1. -4z > 4z 2. z^3 < z^2 bmwhype2 4 25 Nov 2007, 01:27
New posts 2 Experts publish their posts in the topic If w and z are positive is w/z < 1 ? xmagedo 7 25 Jul 2010, 23:58
Display posts from previous: Sort by

If wz < 2, is z < 1?

  Question banks Downloads My Bookmarks Reviews Important topics  


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®.